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  76.Among1,000managerswithdegreesinbusinessadministration,thefollowingdatahavebeenaccumulatedastotheirfieldsofconcentration.     Major TopManagement MiddleManagement TOTAL Management 280 220 500 Marketing 120 80 200 Accounting 150 150 300 TOTAL 550 450 1000   Wewanttodetermineifthepositioninmanagementisindependentoffield(major)ofconcentration.   a.Computetheteststatistic. b.Usingthep-valueapproachat90%confidence,testtodetermineifmanagementpositionisindependentofmajor. c.Usingthecriticalvalueapproach,testthehypotheses.Letα=0.10.         77.Fromapollof800televisionviewers,thefollowingdatahavebeenaccumulatedastotheirlevelsofeducationandtheirpreferenceoftelevisionstations.WeareinterestedindeterminingiftheselectionofaTVstationisindependentofthelevelofeducation.     EducationalLevel     HighSchool Bachelor Graduate TOTAL PublicBroadcasting 50 150 80 280 CommercialStations 150 250 120 520 TOTAL 200 400 200 800     a.Statethenullandthealternativehypotheses. b.Showthecontingencytableoftheexpectedfrequencies. c.Computetheteststatistic. d.Thenullhypothesisistobetestedat95%confidence.Determinethecriticalvalueforthistest. e.Determinethep-valueandperformthetest.                                                 78.BeforethestartoftheWinterOlympics,itwasexpectedthatthepercentagesofmedalsawardedtothetopcontenderstobeasfollows.       Percentages UnitedStates 25% Germany 22% Norway 18% Austria 14% Russia 11% France 10%   MidwaythroughtheOlympics,ofthe120medalsawarded,thefollowingdistributionwasobserved.       NumberofMedals UnitedStates 33 Germany 36 Norway 18 Austria 15 Russia 12 France 6   Wewanttotesttoseeifthereisasignificantdifferencebetweentheexpectedandactualawardsgiven.   a.Computetheteststatistic. b.Usingthep-valueapproach,testtoseeifthereisasignificantdifferencebetweentheexpectedandtheactualvalues.Letα=.05. c.At95%confidence,testforasignificantdifferenceusingthecriticalvalueapproach.     79.Amedicaljournalreportedthefollowingfrequenciesofdeathsduetocardiacarrestforeachdayoftheweek:       CardiacDeathbyDayoftheWeek Day f Monday 40 Tuesday 17 Wednesday 16 Thursday 29 Friday 15 Saturday 20 Sunday 17   Wewanttodeterminewhetherthenumberofdeathsisuniformovertheweek.   a.Computetheteststatistic. b.Usingthep-valueapproachat95%confidence,testfortheuniformityofdeathovertheweek. c.Usingthecriticalvalueapproach,performthetestforuniformity.     .
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    101.RefertoExhibit12-8.Thecoefficientofcorrelationisa.-0.2295 b.0.2295 c.0.0527 d.-0.0572     Exhibit12-9 Aregressionandcorrelationanalysisresultedinthefollowinginformationregardingadependentvariable(y)andanindependentvariable(x).   ΣX=90 ΣY=170 n=10 SSE=505.98 Σ(Y-  )(X-)= 466 Σ(Y-)2=1434 Σ(X -)2=234   102.RefertoExhibit12-9.Theleastsquaresestimateofb1equalsa.0.923 b.1.991 c.-1.991 d.-0.923       103.RefertoExhibit12-9.Theleastsquaresestimateofb0equalsa.0.923 b.1.991 c.-1.991 d.-0.923         104.RefertoExhibit12-9.Thesumofsquaresduetoregression(SSR)isa.1434 b.505.98 c.50.598 d.928.02     105.RefertoExhibit12-9.Thesamplecorrelationcoefficientequalsa.0.8045 b.-0.8045 c.0 d.1     106.RefertoExhibit12-9.Thecoefficientofdeterminationequalsa.0.6472 b.-0.6472 c.0 d.1     Exhibit12-10 ThefollowinginformationregardingadependentvariableYandanindependentvariableXisprovided.   n=4 ΣX=16 ΣY=28 Σ(Y-  )(X-)=-8 Σ(X -)2=8 SST = 42 SSE = 34   107.RefertoExhibit12-10.Theslopeoftheregressionfunctionis a.-1b.1.0 c.11d.0.0       108.RefertoExhibit12-10.TheYinterceptis a.-1b.1.0 c.11d.0.0   109.RefertoExhibit12-10.Thecoefficientofdeterminationisa.0.1905 b.-0.1905 c.0.4364 d.-0.4364     110.RefertoExhibit12-10.Thecoefficientofcorrelationisa.0.1905 b.-0.1905 c.0.4364 d.-0.4364     111.RefertoExhibit12-10.TheMSEis a.17 b.8 c.34 d.42     112.RefertoExhibit12-10.ThepointestimateofYwhenX=3is a.11 b.14 c.8 d.0     113.RefertoExhibit12-10.ThepointestimateofYwhenX=-3is a.11 b.14 c.8 d.0             .
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    41.Thep-value a.rangesbetweenminusinfinitytoplusinfinity b.rangesbetweenminus1toplus1 c.islargerthan1 d.rangesbetween0to1     42.Thep-value a.isthesameastheZstatistic b.measuresthenumberofstandarddeviationsfromthemean c.isadistance d.isaprobability     43.Inhypothesistestingifthenullhypothesisisrejected, a.noconclusionscanbedrawnfromthetest b.thealternativehypothesisistrue c.thedatamusthavebeenaccumulatedincorrectly d.thesamplesizehasbeentoosmall       44.Thelevelofsignificance a.canbeanypositivevalue b.canbeanyvalue c.is(1-confidencelevel) d.canbeanyvaluebetween-1.96to1.96     45.Whenthefollowinghypothesesarebeingtestedatalevelofsignificanceofα, H0:μ1-μ2≥0Ha:μ1-μ2< 0 thenullhypothesiswillberejectedifthep-valueis a.1−α b.>α c.>α/2 d.≤α     46.Whenthep-valueisusedforhypothesistesting,thenullhypothesisisrejectedif a.p-value≤α b.α<p-value c.p-value≥α d.p-value=1-α     47.Inordertotestthefollowinghypothesesatanαlevelofsignificance,   H0:μ1-μ2≤0Ha:μ1-μ2>0   thenullhypothesiswillberejectediftheteststatisticZis a.≤Zα b.≥Zα c.<-Zα d.<0       48.Whichofthefollowingdoesnotneedtobeknowninordertocomputethe p-value? a.knowledgeofwhetherthetestisone-tailedortwo-tailed b.thevalueoftheteststatistic c.thelevelofsignificance d.Noneofthesealternativesiscorrect.   49.Weareinterestedintestingthefollowinghypotheses.H0:μ1-μ2≥0   TheteststatisticZiscomputedtobe2.83.Thep-valueforthistestisa.0.4977 b.0.0023 c.0.0046 d.0.9977   50.Weareinterestedintestingthefollowinghypotheses.H0:μ1-μ2= 0 Ha:μ1-μ2?0   TheteststatisticZiscomputedtobe1.85.Thep-valueforthistestisa.0.4678 b.0.9678 c.0.0322 d.0.0644         .
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  124.Shownbelowisaportionofacomputeroutputforaregressionanalysisrelatingsupply(Yinthousandsofunits)andunitprice(Xinthousandsofdollars).   ANOVA   dfSS Regression1 354.689 Residual397035.262 CoefficientsStandardError Intercept54.0762.358 X0.0290.021       a.Whathasbeenthesamplesizeforthisproblem? b.Performattestanddeterminewhetherornotsupplyandunitpricearerelated.Letα=0.05. c.PerformandFtestanddeterminewhetherornotsupplyandunitpricearerelated.Letα=0.05. d.Computethecoefficientofdeterminationandfullyinterpretitsmeaning.Beveryspecific. e.Computethecoefficientofcorrelationandexplaintherelationshipbetweensupplyandunitprice. f.Predictthesupply(inunits)whentheunitpriceis$50,000.     125.Givenbelowarefourobservationscollectedinaregressionstudyontwovariablesx(independentvariable)andy(dependentvariable).   xy 24 67 98 99     a.Developtheleastsquaresestimatedregressionequation. b.At95%confidence,performattestanddeterminewhetherornottheslopeissignificantlydifferentfromzero. c.PerformanFtesttodeterminewhetherornotthemodelissignificant.Letα=0.05. d.Computethecoefficientofdetermination.           .
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    81.RefertoExhibit13-8.Theyearlyincomeofa24-year-oldfemaleindividualisa.$19.80 b.$19,800c.$49.80d.$49,800   82.RefertoExhibit13-8.Theyearlyincomeofa24-year-oldmaleindividualisa.$13.80 b.$13,800c.$46,800d.$49,800   83.RefertoExhibit13-8.Themultiplecoefficientofdeterminationisa.0.32 b.0.42 c.0.68 d.0.50     84.RefertoExhibit13-8.Ifwewanttotestforthesignificanceofthemodel,thecriticalvalueofFat95%confidenceis a.3.33 b.3.35 c.3.34 d.2.96     85.RefertoExhibit13-8.Theteststatisticfortestingthesignificanceofthemodelisa.0.73 b.1.47 c.28.69 d.5.22     86.RefertoExhibit13-8.Themodel a.issignificant b.isnotsignificant c.wouldbesignificantisthesamplesizewaslargerthan30 d.Noneofthesealternativesiscorrect.   87.RefertoExhibit13-8.Theestimatedincomeofa30-year-oldmaleisa.$51,000 b.$5,100 c.$510d.$51   Exhibit13-9 Inaregressionanalysisinvolving25observations,thefollowingestimatedregressionequationwasdeveloped.   =10–18X1+3X2+14X3   Also,thefollowingstandarderrorsandthesumofsquareswereobtained.       Sb1=3Sb2=6Sb3=7 SST=4,800SSE = 1,296 88.RefertoExhibit13-9.Ifyouwanttodeterminewhetherornotthecoefficientsoftheindependentvariablesaresignificant,thecriticalvalueoftstatisticatα=0.05is a.2.080 b.2.060 c.2.064 d.1.96       89.RefertoExhibit13-9.ThecoefficientofX1 a.issignificant b.isnotsignificant c.cannotbetested,becausenotenoughinformationisprovided d.Noneofthesealternativesiscorrect.     90.RefertoExhibit13-9.ThecoefficientofX2 a.issignificant b.isnotsignificant c.cannotbetested,becausenotenoughinformationisprovided d.Noneofthesealternativesiscorrect.     .
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  SubjectiveShortAnswer 56.AcomparativestudyoforganicandconventionallygrownproducewascheckedforthepresenceofE.coli.Resultsaresummarizedbelow.IsthereasignificantdifferenceintheproportionofE.Coliinorganicvs.conventionallygrownproduce?Testatα=0.10.       SampleSize E.ColiPrevalence Organic 200 3 Conventional 500 20   57.Of200UTCseniorssurveyed,60wereplanningonattendingGraduateSchool.AtUTK,400seniorsweresurveyedand100indicatedthattheywereplanningtoattendGraduateSchool. a.Determinea95%confidenceintervalestimateforthedifferencebetweentheproportionofseniorsatthetwouniversitiesthatwereplanningtoattendGraduateSchool. b.IsthereconclusiveevidencetoprovethattheproportionofstudentsfromUTCwhoplantogotoGraduateSchoolissignificantlymorethanthosefromUTK?Explain.     58.Of300femaleregisteredvoterssurveyed,120indicatedtheywereplanningtovotefortheincumbentpresident;whileof400maleregisteredvoters,140indicatedtheywereplanningtovotefortheincumbentpresident. a.Computetheteststatistic. b.Atalpha=.05,testtoseeifthereisasignificantdifferencebetweentheproportionsoffemalesandmaleswhoplantovotefortheincumbentpresident.(Usethep-valueapproach.)   59.Of150Chattanoogaresidentssurveyed,60indicatedthattheyparticipatedinarecyclingprogram.InKnoxville,120residentsweresurveyedand36claimedtorecycle. a.Determinea95%confidenceintervalestimateforthedifferencebetweentheproportionofresidentsrecyclinginthetwocities. b.FromyouranswerinParta,istheresufficientevidencetoconcludethatthereisasignificantdifferenceintheproportionofresidentsparticipatinginarecyclingprogram?         60.Amongasampleof50M.D.'s(medicaldoctors)inthecityofMemphis,Tennessee,10indicatedtheymakehousecalls;whileamongasampleof100M.D.'sinAtlanta,Georgia,18saidtheymakehousecalls.Determinea95%intervalestimateforthedifferencebetweentheproportionofdoctorswhomakehousecallsinthetwocities.       .
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Smoker 150 70 100 320 Non-smoker 50 130 500 680 Total 200 200 600 1000   a.Providethenullandthealternativehypotheses. b.Determinetheexpectedfrequencies. c.Computethesampleproportions. d.Computethecriticalvalues(CVij). e.Giveyourconclusionsbyprovidingnumericalreasoning.                                       102.Priortothestartoftheseason,itwasexpectedthataudienceproportionsforthefourmajornewsnetworkswouldbeCBS18.6%,NBC12.5%,ABC28.9%andBBC40%.Arecentsampleofhomesyieldedthefollowingviewingaudiencedata.     Observedfrequencies(fi) CBS 400 NBC 230 ABC 560 BBC 810 Total 2000   Wewanttodeterminewhetherornottherecentsamplesupportstheexpectationsforthenumberofhomesoftheviewingaudienceofthefournetworks.   a.Statethenullandalternativehypothesestobetested. b.Computetheteststatistic. c.Thenullhypothesisistobetestedat95%confidence.Determinethecriticalvalueforthistest. d.Whatdoyouconclude?     103.Priortothestartoftheseason,itwasexpectedthataudienceproportionsforthefourmajornewsnetworkswouldbeCBS28%,NBC35%,ABC22%andBBC15%.Arecentsampleofhomesyieldedthefollowingviewingaudiencedata.     Observedfrequencies(fi) CBS 850 NBC 980 ABC 670 BBC 500   Wewanttodeterminewhetherornottherecentsamplesupportstheexpectationsforthenumberofhomesoftheviewingaudienceofthefournetworks.   a.Statethenullandalternativehypothesestobetested. b.Computetheteststatistic. c.Thenullhypothesisistobetestedat95%confidence.Determinethecriticalvalueforthistest. d.Whatdoyouconclude?           .
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    21.Inregressionanalysis,theindependentvariableis a.usedtopredictotherindependentvariables b.usedtopredictthedependentvariable c.calledtheinterveningvariable d.thevariablethatisbeingpredicted     22.Largervaluesofr2implythattheobservationsaremorecloselygroupedaboutthe a.averagevalueoftheindependentvariables b.averagevalueofthedependentvariable c.leastsquaresline d.origin     23.Inaregressionanalysis,thecoefficientofdeterminationis0.4225.Thecoefficientofcorrelationinthissituationisa.0.65 b.0.1785 c.anypositivevalue d.anyvalue     24.Inaregressionanalysis,thecoefficientofcorrelationis0.16.Thecoefficientofdeterminationinthissituationisa.0.4000 b.0.0256 c.4 d.2.56     25.Insimplelinearregressionanalysis,whichofthefollowingisnottrue? a.TheFtestandthettestyieldthesameconclusion. b.TheFtestandthettestmayormaynotyieldthesameconclusion. c.TherelationshipbetweenXandYisrepresentedbymeansofastraightline. d.ThevalueofF=t2.     26.Correlationanalysisisusedtodetermine a.theequationoftheregressionline b.thestrengthoftherelationshipbetweenthedependentandtheindependentvariables c.aspecificvalueofthedependentvariableforagivenvalueoftheindependentvariable d.Noneofthesealternativesiscorrect.     27.Inaregressionandcorrelationanalysisifr2=1,then a.SSEmustalsobeequaltoone b.SSEmustbeequaltozero c.SSEcanbeanypositivevalue d.SSEmustbenegative       28.Inaregressionandcorrelationanalysisifr2=1,then a.SSE=SST b.SSE = 1 c.SSR=SSE d.SSR=SST     29.Inaregressionanalysis,theregressionequationisgivenbyy=12-6x.IfSSE=510andSST=1000,thenthecoefficientofcorrelationis a.-0.7 b.+0.7 c.0.49 d.-0.49     30.InaregressionanalysisifSSE=200andSSR=300,thenthecoefficientofdeterminationisa.0.6667 b.0.6000 c.0.4000 d.1.5000         .
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  128.Belowyouaregivenapartialcomputeroutputbasedonasampleof8observations,relatinganindependentvariable(x)andadependentvariable(y).   CoefficientStandardError Intercept-9.4627.032 x0.7690.184     AnalysisofVariance   SOURCESS Regression400 Error(Residual)138       a.Developtheestimatedregressionline. b.Atα=0.05,testforthesignificanceoftheslope. c.Atα=0.05,performanFtest. d.Determinethecoefficientofdetermination.       129.Thefollowingdatarepresentacompany'syearlysalesvolumeanditsadvertisingexpenditureoveraperiodof8years. (Y)(X) SalesinAdvertising MillionsofDollarsin($10,000) 1532 1633 1835 1734 1636 1937 1939 2442     a.Developascatterdiagramofsalesversusadvertisingandexplainwhatitshowsregardingtherelationshipbetweensalesandadvertising. b.Usethemethodofleastsquarestocomputeanestimatedregressionlinebetweensalesandadvertising. c.Ifthecompany'sadvertisingexpenditureis$400,000,whatarethepredictedsales?Givetheanswerindollars. d.Whatdoestheslopeoftheestimatedregressionlineindicate? e.Computethecoefficientofdeterminationandfullyinterpretitsmeaning. f.UsetheFtesttodeterminewhetherornottheregressionmodelissignificantatα=0.05. g.Usethettesttodeterminewhethertheslopeoftheregressionmodelissignificantatα=0.05. h.Developa95%confidenceintervalforpredictingtheaveragesalesfortheyearswhen $400,000wasspentonadvertising. i.Computethecorrelationcoefficient.   130.Givenbelowarefiveobservationscollectedinaregressionstudyontwovariablesx(independentvariable)andy(dependentvariable).     xy 107 205 304 402 501     a.Developtheleastsquaresestimatedregressionequation b.At95%confidence,performattestanddeterminewhetherornottheslopeissignificantlydifferentfromzero. c.PerformanFtesttodeterminewhetherornotthemodelissignificant.Letα=0.05. d.Computethecoefficientofdetermination. e.Computethecoefficientofcorrelation.           .
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    51.Weareinterestedintestingthefollowinghypotheses.     Basedon40degreesoffreedom,theteststatistictiscomputedtobe2.423.Thep-valueforthistestisa.0.01 b.0.02 c.0.025 d.between0.025to0.05     52.Ifahypothesisisrejectedat95%confidence,it a.willnotberejectedat90%confidence b.willalsoberejectedat90%confidence c.willsometimesberejectedat90%confidence d.Noneofthesealternativesiscorrect.     53.Weareinterestedintestingthefollowinghypotheses.     TheteststatisticZiscomputedtobe2.00.Thep-valueforthistestis a.0.9772 b.1.9544 c.0.0228 d.0.0456     54.Foraone-tailedtest(lowertail)at99.7%confidence,Z=a.± 1.86 b.-2.75 c.±1.96 d.-1.645       55.Foratwo-tailedtestat86.12%confidence,Z=a.1.96 b.1.48 c.1.09 d.0.8612     56.Foraone-tailedtest(lowertail)at93.7%confidence,Z=a.-1.86 b.-1.53 c.-1.96 d.-1.645     57.Foratwo-tailedtestat98.5%confidence,Z=a.± 2.17 b.±1.96 c.± 2.98 d.±2.43     58.Whenusinginferenceregardingtwopopulationmeansfor“matchedsamples,”thefollowingvalueswerefound ford=ScoreAfter- ScoreBefore:2,-4,1,2,-1 Theteststatisticsforthissituationis a.0 b.1 c.Sincetheconfidencelevelisnotknown,itcannotbeanswered. d.Notenoughinformationisgiventoanswerthisquestion.     59.Whenthep-valueisusedforhypothesistesting,thenullhypothesisisnotrejectedifthe a.p­value≤α b.p­value>α c.p­value≥1 d.p-value<0       60.Ifthep-valueislargerthan1, a.thenullhypothesismustberejected. b.thealternativehypothesismustbeaccepted. c.thevalueofZmustbezero. d.amistakemusthavebeenmadeincomputations.       .
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  92.Agroupof2000individualsfrom3differentcitieswereaskedwhethertheyownedaforeignoradomesticcar.Thefollowingcontingencytableshowstheresultsofthesurvey.         TypeofCar Detroit Atlanta Denver Total Domestic 80 200 520 800 Foreign 120 600 480 1200 Total 200 800 1000 2000   Atα=0.05usingthep-valueapproach,testtodetermineifthetypeofcarpurchasedisindependentofthecityinwhichthepurchaserslive.       93.Dr.SherriBrock'sdietpillsaresupposedtocausesignificantweightloss.Thefollowingtableshowstheresultsofarecentstudywheresomeindividualstookthedietpillsandsomedidnot.         DietPills NoDietPills Total NoWeightLoss 80 20 100 WeightLoss 100 100 200 Total 180 120 300   Wewanttoseeiflosingweightisindependentoftakingthedietpills.   a.Computetheteststatistic. b.Usingthep-valueapproachat95%confidence,testtodetermineifweightlossisindependentontakingthepill. c.Usethecriticalmethodapproachandtestforindependence.       94.Fivehundredrandomlyselectedautomobileownerswerequestionedonthemainreasontheyhadpurchasedtheircurrentautomobile.Theresultsaregivenbelow.       Styling Engineering FuelEconomy Total Male 70 130 150 350 Female 30 20 100 150 Total 100 150 250 500     a.Statethenullandalternativehypothesesforacontingencytabletest. b.Statethedecisionruleforthecriticalvalueapproach.Letα=.01. c.Calculatetheχ2teststatistic. d.Giveyourconclusionforthistest.           Sex Favor Undecided Oppose TOTAL Female 180 80 40 300 Male 150 20 30 200 TOTAL 330 100 70 500   Atα=.05usingthep-valueapproach,testtodetermineifthevotescastwereindependentofthesexoftheindividuals.     96.Twohundredfiftymanagerswithdegreesinbusinessadministrationindicatedtheirfieldsofconcentrationasshownbelow.       Major TopManagement MiddleManagement TOTAL Management 65 60 125 Marketing 30 20 50 Accounting 25 50 75 TOTAL 120 130 250   Atα=.01usingthep-valueapproach,testtodetermineifthepositioninmanagementisindependentofthemajorofconcentration.   χ2=9.210)     .
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    91.RefertoExhibit13-9.ThecoefficientofX3 a.issignificant b.isnotsignificant c.cannotbetested,becausenotenoughinformationisprovided d.Noneofthesealternativesiscorrect.     92.RefertoExhibit13-9.Themultiplecoefficientofdeterminationisa.0.27 b.0.73 c.0.50 d.0.33     93.RefertoExhibit13-9.Ifweareinterestedintestingforthesignificanceoftherelationshipamongthevariables(i.e.,significanceofthemodel)thecriticalvalueofFatα=0.05is a.2.76 b.2.78 c.3.10 d.3.07     94.RefertoExhibit13-9.Theteststatisticfortestingthesignificanceofthemodelisa.0.730 b.18.926 c.3.703 d.1.369     95.RefertoExhibit13-9.Thep-valuefortestingthesignificanceoftheregressionmodelis a.lessthan0.01 b.between0.01and0.025 c.between0.025and0.05 d.between0.05and0.1   Exhibit13-10 Inaregressionmodelinvolving30observations,thefollowingestimatedregressionequationwasobtained.   =170+34X1–3X2+8X3+58X4+3X5   Forthismodel,SSR = 1,740andSST = 2,000. 96.RefertoExhibit13-10.ThevalueofSSEisa.3,740 b.170 c.260 d.2000       97.RefertoExhibit13-10.ThedegreesoffreedomassociatedwithSSRare a.24 b.6 c.19 d.5     98.RefertoExhibit13-10.ThedegreesoffreedomassociatedwithSSEare a.24 b.6 c.19 d.5     99.RefertoExhibit13-10.ThedegreesoffreedomassociatedwithSSTare a.24 b.6 c.19 d.Noneofthesealternativesiscorrect.     100.RefertoExhibit13-10.ThevalueofMSRisa.10.40 b.348 c.10.83 d.52     .
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    51.InaregressionanalysisifSST=500andSSE=300,thenthecoefficientofdeterminationisa.0.20 b.1.67 c.0.60 d.0.40       52.Regressionanalysiswasappliedbetweensales(in$1000)andadvertising(in$100)andthefollowingregressionfunctionwasobtained.   =500+4X   Basedontheaboveestimatedregressionlineifadvertisingis$10,000,thenthepointestimateforsales(indollars)isa.$900 b.$900,000c.$40,500d.$505,000     53.Thecoefficientofcorrelation a.isthesquareofthecoefficientofdetermination b.isthesquarerootofthecoefficientofdetermination c.isthesameasr-square d.canneverbenegative     54.Ifthecoefficientofcorrelationis0.4,thepercentageofvariationinthedependentvariableexplainedbythevariationintheindependentvariable a.is40% b.is16%. c.is4% d.canbeanypositivevalue     55.Inregressionanalysisifthedependentvariableismeasuredindollars,theindependentvariable a.mustalsobeindollars b.mustbeinsomeunitsofcurrency c.canbeanyunits d.cannotbeindollars     56.Ifthereisaverystrongcorrelationbetweentwovariablesthenthecoefficientofdeterminationmustbe a.muchlargerthan1,ifthecorrelationispositive b.muchsmallerthan-1,ifthecorrelationisnegative c.anyvaluelargerthan1 d.Noneofthesealternativesiscorrect.       57.Ifthecoefficientofcorrelationis0.90,thenthecoefficientofdetermination a.isalso0.9 b.iseither0.81or-0.81 c.canbeeithernegativeorpositive d.mustbe0.81       58.Aregressionanalysisbetweendemand(Yin1000units)andprice(Xindollars)resultedinthefollowingequation   =9 - 3X   Theaboveequationimpliesthatifthepriceisincreasedby$1,thedemandisexpectedto a.increaseby6units b.decreaseby3units c.decreaseby6,000units d.decreaseby3,000units     59.InaregressionanalysisifSST=4500andSSE=1575,thenthecoefficientofdeterminationisa.0.35 b.0.65 c.2.85 d.0.45     60.Regressionanalysiswasappliedbetweensales(in$10,000)andadvertising(in$100)andthefollowingregressionfunctionwasobtained.   = 50+8X   Basedontheaboveestimatedregressionlineifadvertisingis$1,000,thenthepointestimateforsales(indollars)isa.$8,050 b.$130 c.$130,000d.$1,300,000       .
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  86.Alotteryisconductedthatinvolvestherandomselectionofnumbersfrom0to4.Tomakesurethatthelotteryisfair,asampleof250wastaken.Thefollowingresultswereobtained:     Value Frequency 0 40 1 45 2 55 3 60 4 50     a.Statethenullandalternativehypothesestobetested. b.Computetheteststatistic. c.Thenullhypothesisistobetestedatthe5%levelofsignificance.Determinethecriticalvaluefromthetable. d.Whatdoyouconcludeaboutthefairnessofthislottery?   87.ThemakersofCompute-Allknowthatinthepast,40%oftheirsaleswerefrompeopleunder30yearsold,45%oftheirsaleswerefrompeoplewhoarebetween30and50yearsold,and15%oftheirsaleswerefrompeoplewhoareover50yearsold.Asampleof300customerswastakentoseeifthemarketshareshadchanged.Inthesample,100ofthepeoplewereunder30yearsold,150peoplewerebetween30and50yearsold,and50peoplewereover50yearsold. a.Statethenullandalternativehypothesestobetested. b.Computetheteststatistic. c.Thenullhypothesisistobetestedatthe1%levelofsignificance.Determinethecriticalvaluefromthetable. d.Whatdoyouconclude?   88.Thefollowingtableshowstheresultsofrecentstudyregardinggenderofindividualsandtheirselectedfieldofstudy.       Fieldofstudy Male Female TOTAL Medicine 80 40 120 Business 60 20 80 Engineering 160 40 200 TOTAL 300 100 400   Wewanttodetermineiftheselectedfieldofstudyisindependentofgender.   a.Computetheteststatistic. b.Usingthep-valueapproachat90%confidence,testtoseeifthefieldofstudyisindependentofgender. c.Usingthecriticalmethodapproachat90%confidence,testfortheindependenceofmajorandgender.         89.Shownbelowis3x2contingencytablewithobservedvaluesfromasampleof1,500.At95%confidence,testforindependenceoftherowandcolumnfactors.     ColumnFactor                   90.Shownbelowis2x3contingencytablewithobservedvaluesfromasampleof500.At95%confidenceusingthecriticalvalueapproach,testforindependenceoftherowandcolumnfactors.       ColumnFactor               91.Asampleof150individuals(malesandfemales)wassurveyed,andtheindividualswereaskedtoindicatetheiryearlyincomes.Theirincomeswerecategorizedasfollows.   Category1 $20,000 up to $40,000 Category2 $40,000 up to $60,000 Category3 $60,000 up to $80,000   Theresultsofthesurveyareshownbelow.   IncomeCategory Male Female Category1 10 30 Category2 35 15 Category3 15 45   Wewanttodetermineifyearlyincomeisindependentofgender.   a.Computetheteststatistic. b.Usingthep-valueapproach,testtodetermineifyearlyincomeisindependentofgender.       .
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  66.Duringtherecentprimaryelections,thedemocraticpresidentialcandidateshowedthefollowingpre-electionvotersupportinAlabamaandMississippi.         StateVotersSurveyed VotersFavoringtheDemocraticCandidate Alabama800440 Mississippi600360       a.WewanttodeterminewhetherornottheproportionsofvotersfavoringtheDemocraticcandidatewerethesameinbothstates.Providethehypotheses. b.Computetheteststatistic. c.Determinethep-value;andat95%confidence,testtheabovehypotheses. 67.Theofficeofrecordsatauniversityhasstatedthattheproportionofincomingfemalestudentswhomajorinbusinesshasincreased.Asampleoffemalestudentstakenseveralyearsagoiscomparedwithasampleoffemalestudentsthisyear.Resultsaresummarizedbelow.Hastheproportionincreasedsignificantly?Testatα=0.10.     SampleSize No.MajoringinBusiness PreviousSample 250 50 PresentSample: 300 69           68.Thereliabilityoftwotypesofmachinesusedinthesamemanufacturingprocessistobetested.Thefirstmachinefailedtooperatecorrectlyin90outof300trialswhilethesecondtypefailedtooperatecorrectlyin50outof250trials. a.Giveapointestimateforthedifferencebetweenthepopulationproportionsofthesemachines. b.Calculatethepooledestimateofthepopulationproportion. c.Carryoutahypothesistesttocheckwhetherthereisastatisticallysignificantdifferenceinthereliabilityforthetwotypesofmachinesusinga.10levelofsignificance.   69.Theresultsofarecentpollonthepreferenceofvotersregardingpresidentialcandidatesareshownbelow.         Candidate VotersSurveyed VotersFavoringThisCandidate A400192 B450225 At95%confidence,testtodeterminewhetherornotthereisasignificantdifferencebetweenthepreferencesforthetwocandidates. 70.FromproductionlineA,asampleof500itemsisselectedatrandom,anditisdeterminedthat30itemsaredefective.Inasampleof300itemsfromproductionprocessB(whichproducesidenticalitemstolineA),thereare12defectiveitems.Determinea95%confidenceintervalestimateforthedifferencebetweentheproportionofdefectivesinthetwolines.   71.Apollwastakenthisyearaskingcollegestudentsiftheyconsideredthemselvesoverweight.Asimilarpollwastakenfiveyearsago.Resultsaresummarizedbelow.Hastheproportionincreasedsignificantly?Letα=0.05.     SampleSizeNumber Considered ThemselvesOverweight PresentSample300150 Previoussample275121 Z=1.44;p-value=0.0749;donotrejectH0           .
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  215.Thefollowinginformationshowstheyearlysalaries(in$1,000)ofsamplesofphysiciansfor2013and2012.     (1) (2)   Year2013 Year2012 SampleSize 280 244 SampleMean 790 685 PopulationStandardDeviation(σ) 100 110   Wewanttoperformatesttodetermineiftherehasbeenasignificantincreaseinthesalariesofphysicians.Inyour computations,pleaseuse“1”torepresentyear2013.   a.Statethenullandalternativehypothesestobetested.H0: Ha: b.Computetheteststatistic. c.Thenullhypothesisistobetestedat95%confidence.Determinethecriticalvaluefromthetable. d.Whatdoyouconclude?Fullyexplainandanswerthequestion. e.Computethep-value.           216.ThemanagementofChattanoogaPaperCorporationwantstodeterminewhetherthereisasignificantdifference inthethicknessofpapersproducedattheirtwoexistingplants.ThefollowingdatahasbeenaccumulatedforthistestThedegreesoffreedom(df)forthisproblemaredf=51.     Plant1 Plant2 SampleMean 23.6 23.1 SampleVariance(S2) 25 4 SampleSize 42 53   a.Computea95%confidenceintervalforthedifferenceintheaveragethicknessofpapersproducedatthetwoplants.Pleaseusethesameorderasgivenabove. b.Is there conclusiveevidencethattheaveragethicknessinoneplantissignificantlymorethantheother?Ifyes,whichplant? Explain,usingtheresultsofpart(a). Donotperformanytests.     217.Samplesweretakenfromthemorning(AM)andtheafternoon(PM)shiftsofaproductionprocess.Theresultsareshownbelow.     (1) AMShift (2) PMShift SampleSize 900 800 SampleMean 810 600 PopulationVariance 144 196   Determinethefollowingfortheabovedata. a.Standarderrorofthemean b.Pointestimateofthedifferencebetweenthetwomeans. c.Developa97%confidenceintervalestimateforthedifferencebetweenthetwomeans.           .
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    111.RefertoExhibit13-12.Thelifeexpectancyofaratthatwasgiven2unitsofagentX2daily,butwasnotgivenanyproteinis a.32.6 b.36 c.38 d.d.34.3   112.RefertoExhibit13-12.ThedegreesoffreedomassociatedwithSSRare a.2 b.33 c.32 d.30     113.RefertoExhibit13-12.ThedegreesoffreedomassociatedwithSSEare a.3 b.33 c.32 d.30     114.RefertoExhibit13-12.Themultiplecoefficientofdeterminationis a.0.2 b.0.5 c.0.333 d.5     115.RefertoExhibit13-12.Ifwewanttotestforthesignificanceofthemodel,thecriticalvalueofFat95%confidenceis a.4.17 b.3.32 c.2.92 d.1.96     116.RefertoExhibit13-12.Theteststatisticfortestingthesignificanceofthemodelisa.0.50 b.5.00 c.0.25 d.0.33       117.RefertoExhibit13-12.Thep-valuefortestingthesignificanceoftheregressionmodelis a.lessthan0.01 b.between0.01and0.025 c.between0.025and0.05 d.between0.05and0.10     118.RefertoExhibit13-12.Themodel a.issignificant b.isnotsignificant c.Notenoughinformationisprovidedtoanswerthisquestion. d.Noneofthesealternativesiscorrect.         .
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  104.Theresultsofarecentstudyregardingsmokingandthreetypesofillnessareshowninthefollowingtable.   Illness Non-Smokers Smokers Totals Emphysema 50 150 200 Heartproblem 50 150 200 Cancer 100 500 600 Totals 200 800 1000   Weareinterestedindeterminingwhetherornotillnessisindependentofsmoking.   a.Statethenullandalternativehypothesestobetested. b.Showthecontingencytableoftheexpectedfrequenciesanddeterminetheteststatistic. c.Thenullhypothesisistobetestedat95%confidence.Determinethecriticalvalueforthistest d.Whatdoyouconclude?             105.Theresultsofarecentstudyregardingsmokingandthreetypesofillnessareshowninthefollowingtable.     Illness Non-Smokers Smokers Totals Emphysema 30 90 120 Heartproblem 70 210 280 Cancer 100 300 400 Totals 200 600 800   Weareinterestedindeterminingwhetherornotillnessisindependentofsmoking.   a.Statethenullandalternativehypothesestobetested. b.Showthecontingencytableoftheexpectedfrequenciesanddeterminetheteststatistic. c.Thenullhypothesisistobetestedat95%confidence.Determinethecriticalvalueforthistest. d.Whatdoyouconclude?         .
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  122.PartofanExceloutputrelatingX(independentvariable)andY(dependentvariable)isshownbelow.Fillinalltheblanksmarkedwith"?".     SummaryOutput   RegressionStatistics MultipleR? R Square0.5149 AdjustedR Square? StandardError7.3413 Observations11     ANOVA   Regressiondf ?SS ?MS ?F ?SignificanceF 0.0129 ResidualTotal? ??1000?     CoefficientsStandardErrortStatP-value Intercept?29.48183.79460.0043 x?0.7000-3.09110.0129 123.ShownbelowisaportionofacomputeroutputforaregressionanalysisrelatingY(demand)andX(unitprice).   ANOVA   df   SS Regression15048.818 Residual463132.661 Total478181.479     InterceptCoefficients 80.390StandardError 3.102 X-2.1370.248     a.Performattestanddeterminewhetherornotdemandandunitpricearerelated.Letα=0.05. b.PerformanFtestanddeterminewhetherornotdemandandunitpricearerelated.Letα=0.05. c.Computethecoefficientofdeterminationandfullyinterpretitsmeaning.Beveryspecific. d.Computethecoefficientofcorrelationandexplaintherelationshipbetweendemandandunitprice.           .
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    21.RefertoExhibit11-2.Thep-valueis a.lessthan.005 b.between.025and0.05 c.between.05and0.1 d.greaterthan0.1     22.RefertoExhibit11-2.At95%confidence,thenullhypothesis a.shouldnotberejected b.shouldberejected c.wasdesignedwrong d.Noneofthesealternativesiscorrect.         Exhibit11-3 Inordertodeterminewhetherornotaparticularmedicationwaseffectiveincuringthecommoncold,onegroupofpatientswasgiventhemedication,whileanothergroupreceivedsugarpills.Theresultsofthestudyareshownbelow.     PatientsCured PatientsNotCured Receivedmedication 70 10 Receivedsugarpills 20 50   Weareinterestedindeterminingwhetherornotthemedicationwaseffectiveincuringthecommoncold. 23.RefertoExhibit11-3.Theexpectedfrequencyofthosewhoreceivedmedicationandwerecuredis a.70b.150 c.28 d.48       24.RefertoExhibit11-3.Theteststatisticisa.10.08 b.54.02 c.1.96 d.1.645     25.RefertoExhibit11-3.Thenumberofdegreesoffreedomassociatedwiththisproblemis a.4b.149 c.1 d.3     26.RefertoExhibit11-3.Thehypothesisistobetestedatthe5%levelofsignificance.Thecriticalvaluefromthetableequals a.3.84 b.7.81 c.5.99 d.9.34         27.RefertoExhibit11-3.Thep-valueis a.lessthan.005 b.between.005and.01 c.between.01and.025 d.between.025and.05     Exhibit11-4 Inthepast,35%ofthestudentsatABCUniversitywereintheBusinessCollege,35%ofthestudentswereintheLiberalArtsCollege,and30%ofthestudentswereintheEducationCollege.Toseewhetherornottheproportionshavechanged,asampleof300studentswastaken.NinetyofthesamplestudentsareintheBusinessCollege,120areintheLiberalArtsCollege,and90areintheEducationCollege. 28.RefertoExhibit11-4.Thisproblemisanexampleofa a.normallydistributedvariable b.testforindependence c.Poissondistributedvariable d.multinomialpopulation       29.RefertoExhibit11-4.TheexpectedfrequencyfortheBusinessCollegeisa.0.3 b.0.35 c.90d.105   30.RefertoExhibit11-4.Thecalculatedvaluefortheteststatisticequalsa.0.01 b.0.75 c.4.29 d.4.38           .
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  211.Thetestscoresforselectedsamplesofstatisticsstudentswhotookthecoursefromthreedifferentinstructorsareshownbelow.         InstructorAInstructorB InstructorC 819085 625590 828490 879195 738580       Atα=0.05,testtoseeifthereisasignificantdifferenceamongtheaveragesofthethreegroups.ShowthecompleteANOVAtable.         213.ThemanagementofChattanoogaPaperCorporationwantstodeterminewhetherthereisasignificantdifferenceinthethicknessofpapersproducedattheirtwoexistingplants.Thefollowingdatahasbeenaccumulatedforthistest.Thedegreesoffreedom(df)forthisproblemaregiventobedf=80.         Plant1 Plant2 SampleMean 30.8 30.0 SampleStandardDeviation 8.0 9.0 SampleSize 55 41     a.Computea95%confidenceintervalforthedifferenceintheaveragethicknessofpapersproducedatthetwoplants. b.Is there conclusiveevidencethattheaveragethicknessinoneplantissignificantlymorethantheother?Ifyes,whichplant?Explain,usingtheresultsofpart(a).Donotperformanytest.   214.InordertodeterminewhetherornotaspecialtutoringserviceimprovesthescoresofstudentsinaBusinessStatisticsexamination,asampleof6studentsweregiventheexambeforeandafterusingthetutorialservice.Theresultsareshownbelow.   Letd=ScoreAfter-ScoreBefore.         Student ScoreBefore ScoreAfter     A 80 84     B 82 86     C 75 82     D 78 83     E 90 95     F 85 84       Atα=0.10,testtoseeifthetutorialserviceactuallyincreasedscoresontheexamination.         .
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MultipleChoice 1.Inaregressionanalysis,theerrortermεisarandomvariablewithameanorexpectedvalueof a.zero b.one c.anypositivevalue d.anyvalue       2.Thecoefficientofdetermination a.cannotbenegative b.isthesquarerootofthecoefficientofcorrelation c.isthesameasthecoefficientofcorrelation d.canbenegativeorpositive     3.Ifthecoefficientofdeterminationisapositivevalue,thenthecoefficientofcorrelation a.mustalsobepositive b.mustbezero c.canbeeithernegativeorpositive d.mustbelargerthan1     4.Inregressionanalysis,themodelintheformy=β0+β1x+εis called a.regressionequation b.correlationequation c.estimatedregressionequation d.regressionmodel     5.Themathematicalequationrelatingtheindependentvariabletotheexpectedvalueofthedependentvariable;thatis,E(y)=β0+β1x,isknownas a.regressionequation b.correlationequation c.estimatedregressionequation d.regressionmodel         6.Themodeldevelopedfromsampledatathathastheformof=b0+b1xisknownas a.regressionequation b.correlationequation c.estimatedregressionequation d.regressionmodel     7.Inthefollowingestimatedregressionequation= b0+ b1x a.b1istheslope b.b1istheintercept c.b0istheslope d.Noneofthesealternativesiscorrect.     8.Inregressionanalysis,theunbiasedestimateofthevarianceis a.coefficientofcorrelation b.coefficientofdetermination c.meansquareerror d.slopeoftheregressionequation     9.Theintervalestimateofthemeanvalueofyforagivenvalueofxis a.predictionintervalestimate b.confidenceintervalestimate c.averageregression d.xversusycorrelationinterval     10.Theintervalestimateofanindividualvalueofyforagivenvalueofxis a.predictionintervalestimate b.confidenceintervalestimate c.averageregression d.xversusycorrelationinterval         .
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    41.Ifthecoefficientofcorrelationis-0.4,thentheslopeoftheregressionline a.mustalsobe-0.4 b.canbeeithernegativeorpositive c.mustbenegative d.mustbe0.16     42.Ifthecoefficientofcorrelationisanegativevalue,thenthecoefficientofdetermination a.mustalsobenegative b.mustbezero c.canbeeithernegativeorpositive d.mustbepositive     43.Itispossibleforthecoefficientofdeterminationtobe a.largerthan1 b.lessthanone c.lessthan-1 d.Noneofthesealternativesiscorrect.       44.Iftwovariables,xandy,haveastronglinearrelationship,then a.theremayormaynotbeanycausalrelationshipbetweenxandy b.xcausesytohappen c.ycausesxtohappen d.Noneofthesealternativesiscorrect.     45.Ifthecoefficientofdeterminationis0.81,thecoefficientofcorrelationa.is0.6561 b.couldbeeither+0.9or-0.9 c.mustbepositive d.mustbenegative     46.Aleastsquaresregressionline a.maybeusedtopredictavalueofyifthecorrespondingxvalueisgiven b.impliesacause-effectrelationshipbetweenxandy c.canonlybedeterminedifagoodlinearrelationshipexistsbetweenxandy d.Noneofthesealternativesiscorrect.       47.Ifallthepointsofascatterdiagramlieontheleastsquaresregressionline,thenthecoefficientofdeterminationforthesevariablesbasedonthesedatais a.0 b.1 c.either1or-1,dependinguponwhethertherelationshipispositiveornegative d.couldbeanyvaluebetween-1and1     48.IfadatasethasSSR=400andSSE=100,thenthecoefficientofdeterminationisa.0.10 b.0.25 c.0.40 d.0.80       49.Comparedtotheconfidenceintervalestimateforaparticularvalueofy(inalinearregressionmodel),theintervalestimateforanaveragevalueofywillbe a.narrower b.wider c.thesame d.Noneofthesealternativesiscorrect.     50.Aregressionanalysisbetweensales(in$1000)andprice(indollars)resultedinthefollowingequation   =60 -8X   Theaboveequationimpliesthatan a.increaseof$1inpriceisassociatedwithadecreaseof$8insales b.increaseof$8inpriceisassociatedwithandecreaseof$52,000insales c.increaseof$1inpriceisassociatedwithadecreaseof$52insales d.increaseof$1inpriceisassociatedwithadecreaseof$8000insales       .
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118.ShownbelowisaportionofacomputeroutputforregressionanalysisrelatingY(dependentvariable)andX(independentvariable).     ANOVA dfSS Regression1 24.011 Residual8 67.989 CoefficientsStandardError Intercept11.0652.043 x-0.5110.304       a.Whathasbeenthesamplesizefortheabove? b.PerformattestanddeterminewhetherornotXandYarerelated.Letα=0.05. c.PerformanFtestanddeterminewhetherornotXandYarerelated.Letα=0.05. d.Computethecoefficientofdetermination. e.Interpretthemeaningofthevalueofthecoefficientofdeterminationthatyoufoundind.Beveryspecific.       119.ShownbelowisaportionofanExceloutputforregressionanalysisrelatingY(dependentvariable)andX(independentvariable).     ANOVA   dfSS Regression1 110 Residual8 74 Total9 184   CoefficientsStandardError Intercept39.22205.9430 x-0.55560.1611       a.Whathasbeenthesamplesizefortheabove? b.PerformattestanddeterminewhetherornotXandYarerelated.Letα=0.05. c.PerformanFtestanddeterminewhetherornotXandYarerelated.Letα=0.05. d.Computethecoefficientofdetermination. e.Interpretthemeaningofthevalueofthecoefficientofdeterminationthatyoufoundind.Beveryspecific.         .
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    21.AnANOVAprocedureisappliedtodataobtainedfrom6sampleswhereeachsamplecontains20observations. ThedegreesoffreedomforthecriticalvalueofFare a.6numeratorand20denominatordegreesoffreedom b.5numeratorand20denominatordegreesoffreedom c.5numeratorand114denominatordegreesoffreedom d.6numeratorand20denominatordegreesoffreedom     22.Themeansquareisthesumofsquaresdividedby a.thetotalnumberofobservations b.itscorrespondingdegreesoffreedom c.itscorrespondingdegreesoffreedomminusone d.Noneofthesealternativesiscorrect.     23.InananalysisofvarianceproblemifSST=120andSSTR=80,thenSSEisa.200 b.40 c.80d.120   24.TherequiredconditionforusinganANOVAprocedureondatafromseveralpopulationsisthatthe a.theselectedsamplesaredependentoneachother b.sampledpopulationsarealluniform c.sampledpopulationshaveequalvariances d.sampledpopulationshaveequalmeans       25.AnANOVAprocedureisusedfordatathatwasobtainedfromfoursamplegroupseachcomprisedoffiveobservations.ThedegreesoffreedomforthecriticalvalueofFare a.3 and20 b.3 and16 c.4 and17 d.3 and19     26.InANOVA,whichofthefollowingisnotaffectedbywhetherornotthepopulationmeansareequal?a. b.between-samplesestimateofσ2 c.within-samplesestimateofσ2 d.Noneofthesealternativesiscorrect.     27.Atermthatmeansthesameastheterm"variable"inanANOVAprocedureis a.factor b.treatment c.replication d.variancewithin     28.Inordertodeterminewhetherornotthemeansoftwopopulationsareequal, a.attestmustbeperformed b.ananalysisofvariancemustbeperformed c.eitherattestorananalysisofvariancecanbeperformed d.achi-squaretestmustbeperformed     29.Inacompletelyrandomizeddesigninvolvingthreetreatments,thefollowinginformationisprovided:     Treatment1 Treatment2 Treatment3 SampleSize 5 10 5 SampleMean 4 8 9   Theoverallmeanforallthetreatmentsisa.7.00 b.6.67 c.7.25 d.4.89       30.Inacompletelyrandomizeddesigninvolvingfourtreatments,thefollowinginformationisprovided.       Treatment1 Treatment2 Treatment3 Treatment4 SampleSize 50 18 15 17 SampleMean 32 38 42 48   Theoverallmean(thegrandmean)foralltreatmentsisa.40.0 b.37.3 c.48.0 d.37.0       .
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    61.Inaonetail(upperbound)hypothesistest,thecriticalvalueofZhasbeen2andtheteststatistichasbeen1.96.Inthissituation, a.thenullhypothesisshouldberejected. b.thealternativehypothesisistrue. c.sincethestandarddeviationisnotknown,noanswercanbegiven. d.thesamplesizehasbeentoosmall.     Exhibit10-1 Salaryinformationregardingmaleandfemaleemployeesofalargecompanyisshownbelow.       Male Female SampleSize 64 36 SampleMeanSalary(in$1,000) 44 41 PopulationVariance() 128 72 62.RefertoExhibit10-1.Thepointestimateofthedifferencebetweenthemeansofthetwopopulationsis a.-28 b.3 c.4 d.-4       63.RefertoExhibit10-1.Thestandarderrorforthedifferencebetweenthetwomeansis a.4 b.7.46 c.4.24 d.2.0       64.RefertoExhibit10-1.At95%confidence,themarginoferrorisa.1.96 b.1.645 c.3.920 d.2.000     65.RefertoExhibit10-1.The95%confidenceintervalforthedifferencebetweenthemeansofthetwopopulationsisa.0to6.92 b.-2to 2 c.-1.96to1.96 d.-0.92to6.92     66.RefertoExhibit10-1.Ifyouareinterestedintestingwhetherornottheaveragesalaryofmalesissignificantlygreaterthanthatoffemales,theteststatisticis a.2.0 b.1.5 c.1.96 d.1.645     67.RefertoExhibit10-1.Thep-valueisa.0.0668 b.0.0334 c.1.336 d.1.96     68.RefertoExhibit10-1.At95%confidence,theconclusionisthe a.averagesalaryofmalesissignificantlygreaterthanfemales b.averagesalaryofmalesissignificantlylowerthanfemales c.salariesofmalesandfemalesareequal d.Noneofthesealternativesiscorrect.       Exhibit10-2 Thefollowinginformationwasobtainedfrommatchedsamples. Thedailyproductionratesforasampleofworkersbeforeandafteratrainingprogramareshownbelow.     Worker Before After 1 20 22 2 25 23 3 27 27 4 23 20 5 22 25 6 20 19 7 17 18 69.RefertoExhibit10-2.Thepointestimateforthedifferencebetweenthemeansofthetwopopulationsis a.-1 b.-2 c.0 d.1       70.RefertoExhibit10-2.ThenullhypothesistobetestedisH0:μd=0.Theteststatisticisa.-1.96 b.1.96 c.0 d.1.645       .
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MultipleChoice 1.Themathematicalequationrelatingtheexpectedvalueofthedependentvariabletothevalueoftheindependentvariables,whichhastheformofE(y) =β0+β1x1+β2x2+...+βpxpis a.asimplelinearregressionmodel b.amultiplenonlinearregressionmodel c.anestimatedmultipleregressionequation d.amultipleregressionequation       2.Theestimateofthemultipleregressionequationbasedonthesampledata,whichhastheformofE(y)==b0+b1x1+ b2x2+...+bpxpis a.asimplelinearregressionmodel b.amultiplenonlinearregressionmodel c.anestimatedmultipleregressionequation d.amultipleregressionequation     3.Themathematicalequationthatexplainshowthedependentvariableyisrelatedtoseveralindependentvariablesx1,x2,…,xpandtheerrortermεis a.asimplenonlinearregressionmodel b.amultipleregressionmodel c.anestimatedmultipleregressionequation d.amultipleregressionequation     4.Avariablethatcannotbemeasuredintermsofhowmuchorhowmanybutinsteadisassignedvaluestorepresentcategoriesiscalled a.aninteraction b.aconstantvariable c.acategoryvariable d.aqualitativevariable       5.Inordertotestforthesignificanceofaregressionmodelinvolving3independentvariablesand47observations,thenumeratoranddenominatordegreesoffreedom(respectively)forthecriticalvalueofFare a.47and 3 b.3 and47 c.2 and43 d.3 and43   6.Avariablethattakesonthevaluesof0or1andisusedtoincorporatetheeffectofqualitativevariablesinaregressionmodeliscalled a.aninteraction b.aconstantvariable c.adummyvariable d.Noneofthesealternativesiscorrect.     7.Inamultipleregressionmodel,theerrortermεisassumedtobearandomvariablewithameanof a.zero b.-1 c.1 d.anyvalue     8.Inregressionanalysis,theresponsevariableisthe a.independentvariable b.dependentvariable c.slopeoftheregressionfunction d.intercept     9.Amultipleregressionmodelhas a.onlyoneindependentvariable b.morethanonedependentvariable c.morethanoneindependentvariable d.atleast2dependentvariables       10.Ameasureofgoodnessoffitfortheestimatedregressionequationisthe a.multiplecoefficientofdetermination b.meansquareduetoerror c.meansquareduetoregression d.samplesize       .
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  SubjectiveShortAnswer 114.Assumeyouhavenotedthefollowingpricesforpaperbackbooksandthenumberofpagesthateachbookcontains.     BookPages(x)Price(y) A500$7.00 B7007.50 C7509.00 D5906.50 E5407.50 F6507.00 G4804.50     a.Developaleast-squaresestimatedregressionline. b.Computethecoefficientofdeterminationandexplainitsmeaning. c.Computethecorrelationcoefficientbetweenthepriceandthenumberofpages.Testtoseeifxandyarerelated.Useα=0.10.         115.Assumeyouhavenotedthefollowingpricesforbooksandthenumberofpagesthateachbookcontains.     BookPages(x)Price(y) A500$7.00 B7007.50 C7509.00 D5906.50 E5407.50 F6507.00 G4804.50     a.PerformanFtestanddetermineifthepriceandthenumberofpagesofthebooksarerelated.Letα=0.01. b.Performattestanddetermineifthepriceandthenumberofpagesofthebooksarerelated.Letα=0.01. c.Developa90%confidenceintervalforestimatingtheaveragepriceofbooksthatcontain800pages. d.Developa90%confidenceintervaltoestimatethepriceofaspecificbookthathas800pages.       116.Thefollowingdatarepresentthenumberofflashdrivessoldperdayatalocalcomputershopandtheirprices.     Price(x)UnitsSold(y) $343 364 326 355 309 382 401     a.Developaleast-squaresregressionlineandexplainwhattheslopeofthelineindicates. b.Computethecoefficientofdeterminationandcommentonthestrengthofrelationshipbetweenxandy. c.Computethesamplecorrelationcoefficientbetweenthepriceandthenumberofflashdrivessold.Useα=0.01totesttherelationshipbetweenxandy.       117.Thefollowingdatarepresentthenumberofflashdrivessoldperdayatalocalcomputershopandtheirprices.     Price(x)UnitsSold(y) $343 364 326 355 309 382 401   a.PerformanFtestanddetermineifthepriceandthenumberofflashdrivessoldarerelated.Let α=0.01. b.Performattestanddetermineifthepriceandthenumberofflashdrivessoldarerelated.Let α=0.01.         .
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  120.PartofanExceloutputrelatingX(independentvariable)andY(dependentvariable)isshownbelow.Fillinalltheblanksmarkedwith"?".       SummaryOutput   RegressionStatistics MultipleR 0.1347 R Square? AdjustedR Square? StandardError3.3838 Observations?     ANOVA   Regressiondf ?SS 2.7500MS ?F ?SignificanceF 0.632 ResidualTotal?14? ?11.45     CoefficientsStandardErrortStatP-value Intercept8.62.2197?0.0019 x0.250.5101?0.632       121.ShownbelowisaportionofacomputeroutputforaregressionanalysisrelatingY(dependentvariable)andX(independentvariable).     ANOVA   dfSS Regression1 115.064 Residual1382.936 Total CoefficientsStandardError Intercept15.5321.457 x-1.1060.261       a.Performattestusingthep-valueapproachanddeterminewhetherornotYandXarerelated.Letα=0.05. b.Usingthep-valueapproach,performanFtestanddeterminewhetherornotXandYarerelated. c.Computethecoefficientofdeterminationandfullyinterpretitsmeaning.Beveryspecific.           .
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    61.Ifthecoefficientofcorrelationisapositivevalue,then a.theinterceptmustalsobepositive b.thecoefficientofdeterminationcanbeeithernegativeorpositive,dependingonthevalueoftheslope c.theregressionequationcouldhaveeitherapositiveoranegativeslope d.theslopeofthelinemustbepositive       62.Ifthecoefficientofdeterminationis0.9,thepercentageofvariationinthedependentvariableexplainedbythevariationintheindependentvariable a.is0.90% b.is90%. c.is81%d.0.81%   63.Regressionanalysiswasappliedbetweensales(Yin$1,000)andadvertising(Xin$100),andthefollowingestimatedregressionequationwasobtained.   =80 +6.2 X   Basedontheaboveestimatedregressionline,ifadvertisingis$10,000,thenthepointestimateforsales(indollars)is a.$62,080b.$142,000 c.$700 d.$700,000       Exhibit12-1 Thefollowinginformationregardingadependentvariable(Y)andanindependentvariable(X)isprovided.   YX 42 31 44 63 85   SSE = 6 SST = 16 64.RefertoExhibit12-1.TheleastsquaresestimateoftheYinterceptis a.1 b.2 c.3 d.4         65.RefertoExhibit12-1.Theleastsquaresestimateoftheslopeis a.1 b.2 c.3 d.4     66.RefertoExhibit12-1.Thecoefficientofdeterminationisa.0.7096 b.-0.7906 c.0.625 d.0.375     67.RefertoExhibit12-1.Thecoefficientofcorrelationisa.0.7906 b.-0.7906 c.0.625 d.0.375       68.RefertoExhibit12-1.TheMSEis a.1 b.2 c.3 d.4     Exhibit12-2 Youaregiventhefollowinginformationaboutyandx.   DependentVariable(Y)IndependentVariable(X) 51 42 33 24 15   69.RefertoExhibit12-2.Theleastsquaresestimateofb1(slope)equals a.1 b.-1 c.6 d.5       70.RefertoExhibit12-2.Theleastsquaresestimateofb0(intercept)equals a.1 b.-1 c.6 d.5       .
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    11.Thedegreesoffreedomforacontingencytablewith6rowsand3columnsis a.18 b.15 c.6 d.10     12.Thedegreesoffreedomforacontingencytablewith10rowsand11columnsisa.100 b.110 c.21 d.90     Exhibit11-1 Whenindividualsinasampleof150wereaskedwhetherornottheysupportedcapitalpunishment,thefollowinginformationwasobtained.   Doyousupportcapitalpunishment? Numberofindividuals Yes40 No60 NoOpinion50   Weareinterestedindeterminingwhetherornottheopinionsoftheindividuals(astoYes,No,andNoOpinion)areuniformlydistributed. 13.RefertoExhibit11-1.Theexpectedfrequencyforeachgroupisa.0.333 b.0.50 c.1/3 d.50       14.RefertoExhibit11-1.Thecalculatedvaluefortheteststatisticequals a.2 b.-2 c.20 d.4         15.RefertoExhibit11-1.Thenumberofdegreesoffreedomassociatedwiththisproblemisa.150 b.149 c.2 d.3     16.RefertoExhibit11-1.Thep-valueis a.largerthan0.1 b.lessthan0.1 c.lessthan0.05 d.largerthan0.9     17.RefertoExhibit11-1.Theconclusionofthetest(at95%confidence)isthatthe a.distributionisuniform b.distributionisnotuniform c.testisinconclusive d.Noneofthesealternativesiscorrect.     Exhibit11-2 Lastschoolyear,thestudentbodyofalocaluniversityconsistedof30%freshmen,24%sophomores,26%juniors,and20%seniors.Asampleof300studentstakenfromthisyear'sstudentbodyshowedthefollowingnumberofstudentsineachclassification.   Freshmen 83 Sophomores 68 Juniors 85 Seniors 64   Weareinterestedindeterminingwhetherornottherehasbeenasignificantchangeintheclassificationsbetweenthelastschoolyearandthisschoolyear. 18.RefertoExhibit11-2.Theexpectednumberoffreshmenis a.83 b.90 c.30 d.10         19.RefertoExhibit11-2.Theexpectedfrequencyofseniorsis a.60 b.20% c.68 d.64     20.RefertoExhibit11-2.Thecalculatedvaluefortheteststatisticequalsa.0.5444 b.300 c.1.6615 d.6.6615           .
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MultipleChoice 1.Ifweareinterestedintestingwhethertheproportionofitemsinpopulation1islargerthantheproportionofitemsinpopulation2,the a.nullhypothesisshouldstateP1-P2<0 b.nullhypothesisshouldstateP1-P2>0 c.alternativehypothesisshouldstateP1-P2>0 d.alternativehypothesisshouldstateP1-P2<0     2.Thesamplingdistributionofisapproximatedbya a.normaldistribution b.t-distributionwithn1+n2degreesoffreedom c.t-distribution withn1+n2-1degreesoffreedom d.t-distributionwithn1+n2+2degreesoffreedom   3.Apopulationwhereeachelementofthepopulationisassignedtooneandonlyoneofseveralclassesorcategoriesisa a.multinomialpopulation b.Poissonpopulation c.normalpopulation d.Noneofthesealternativesiscorrect.     4.Thesamplingdistributionforagoodnessoffittestisthe a.Poissondistribution b.tdistribution c.normaldistribution d.chi-squaredistribution     5.Agoodnessoffittestisalwaysconductedasa a.lower-tailtest b.upper-tailtest c.middletest d.Noneofthesealternativesiscorrect.       6.Animportantapplicationofthechi-squaredistributionis a.makinginferencesaboutasinglepopulationvariance b.testingforgoodnessoffit c.testingfortheindependenceoftwovariables d.Allofthesealternativesarecorrect.     7.Thenumberofdegreesoffreedomfortheappropriatechi-squaredistributioninatestofindependenceis a.n-1 b.K-1 c.numberofrowsminus1timesnumberofcolumnsminus1 d.achi-squaredistributionisnotused     8.Inordernottoviolatetherequirementsnecessarytousethechi-squaredistribution,eachexpectedfrequencyinagoodnessoffittestmustbe a.atleast5 b.atleast10 c.nomorethan5 d.lessthan2     9.Astatisticaltestconductedtodeterminewhethertorejectornotrejectahypothesizedprobabilitydistributionforapopulationisknownasa a.contingencytest b.probabilitytest c.goodnessoffittest d.Noneofthesealternativesiscorrect.     10.Thedegreesoffreedomforacontingencytablewith12rowsand12columnsisa.144 b.121 c.12d.120             .
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    91.RefertoExhibit12-6.Thecoefficientofdetermination(r2)equalsa.0.7071 b.-0.7071 c.0.5 d.-0.5       Exhibit12-7 Youaregiventhefollowinginformationaboutyandx.   DependentVariable(Y)IndependentVariable(X) 54 76 92 114 92.RefertoExhibit12-7.Theleastsquaresestimateofb1(slope)equalsa.-10 b.10c.0.5d.-0.5     93.RefertoExhibit12-7.Theleastsquaresestimateofb0(intercept)equalsa.-10 b.10c.0.5d.-0.5   94.RefertoExhibit12-7.Thesamplecorrelationcoefficientequalsa.0.3162 b.-0.3162 c.0.10 d.-0.10     95.RefertoExhibit12-7.Thecoefficientofdeterminationequalsa.0.3162 b.-0.3162 c.0.10 d.-0.10         Exhibit12-8 ThefollowinginformationregardingadependentvariableYandanindependentvariableXisprovided   n=4 ΣX=90 ΣY=340 Σ(Y-  )(X-)=-156 Σ(X -)2=234 Σ(Y-)2=1974 SSR=104   96.RefertoExhibit12-8.Thetotalsumofsquares(SST)isa.-156 b.234 c.1870 d.1974       97.RefertoExhibit12-8.Thesumofsquaresduetoerror(SSE)isa.-156 b.234 c.1870 d.1974     98.RefertoExhibit12-8.Themeansquareerror(MSE)isa.1870 b.13 c.1974 d.935     99.RefertoExhibit12-8.Theslopeoftheregressionequationisa.-0.667 b.0.667 c.100 d.-100         100.RefertoExhibit12-8.TheYinterceptisa.-0.667 b.0.667 c.100 d.-100       .
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    81.RefertoExhibit12-4.Thetstatisticfortestingthesignificanceoftheslopeisa.1.80 b.1.96 c.6.708 d.0.555       82.RefertoExhibit12-4.Thecriticaltvaluefortestingthesignificanceoftheslopeat95%confidenceisa.1.753 b.2.131 c.1.746 d.2.120     Exhibit12-5 Thefollowinginformationregardingadependentvariable(Y)andanindependentvariable(X)isprovided.   YX 11 22 33 44 55 83.RefertoExhibit12-5.TheleastsquaresestimateoftheYinterceptis a.1 b.0 c.-1 d.3       84.RefertoExhibit12-5.Theleastsquaresestimateoftheslopeis a.1 b.-1 c.0 d.3     85.RefertoExhibit12-5.Thecoefficientofcorrelationis a.0 b.-1c.0.5 d.1     86.RefertoExhibit12-5.Thecoefficientofdeterminationis a.0 b.-1c.0.5 d.1     87.RefertoExhibit12-5.TheMSEis a.0 b.-1 c.1d.0.5     Exhibit12-6 ForthefollowingdatathevalueofSSE=0.4130.     DependentVariable(Y)IndependentVariable(X) 154 176 232 174 88.RefertoExhibit12-6.Theslopeoftheregressionequationis a.18 b.24 c.0.707 d.-1.5       89.RefertoExhibit12-6.Theyinterceptisa.-1.5 b.24c.0.50 d.-0.707     90.RefertoExhibit12-6.Thetotalsumofsquares(SST)equals a.36 b.18 c.9 d.1296       .
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  SubjectiveShortAnswer 119.ThepricesofOrr,Inc.stock(y)overaperiodof12days,thenumberofshares(in100s)ofcompany'sstockssold(x1),andthevolumeofexchange(inmillions)ontheNewYorkStockExchange(x2)areshownbelow.     Day(y)(x1)(x2) 187.5095011.00 286.0094511.25 384.0094011.75 483.0093011.75 584.5093512.00 684.0093513.00 782.0093213.25 880.0093814.50 978.5092515.00 1079.0090016.50 1177.0087517.00 1277.5087017.50   Excelwasusedtodeterminetheleast-squaresregressionequation.Partofthecomputeroutputisshownbelow.   ANOVA   Regressiondf 2SS 118.8474MS 59.4237F 40.9216SignificanceF 0.0000 Residual913.06921.4521 Total11131.9167   CoefficientsStandardErrortStatP-value Intercept118.505933.57533.52960.0064 (x1)-0.01630.0315-0.51710.6176 (x2)-1.57260.3590-4.38070.0018   a.Usetheoutputshownaboveandwriteanequationthatcanbeusedtopredictthepriceofthestock. b.InterpretthecoefficientsoftheestimatedregressionequationthatyoufoundinParta. c.At95%confidence,determinewhichvariablesaresignificantandwhicharenot. d.Ifinagivenday,thenumberofsharesofthecompanythatweresoldwas94,500andthevolumeofexchangeontheNewYorkStockExchangewas16million,whatwouldyouexpectthepriceofthestocktobe? 120.Multipleregressionanalysiswasusedtostudyhowanindividual'sincome(Yinthousandsofdollars)isinfluencedbyage(X1inyears),levelofeducation(X2rangingfrom1to5),andtheperson'sgender(X3where0=femaleand1=male).Thefollowingisapartialresultofacomputerprogramthatwasusedonasampleof20individuals.       CoefficientStandardError X10.62510.094 X20.92100.190 X3-0.51000.920 AnalysisofVariance SourceofVariation DegreesofFreedom SumofSquares Mean SquareF Regression84 Error112       a.Computethecoefficientofdetermination. b.Performattestanddeterminewhetherornotthecoefficientofthevariable"levelofeducation"(i.e.,X2)issignificantlydifferentfromzero.Letα=0.05. c.Atα=0.05,performanFtestanddeterminewhetherornottheregressionmodelissignificant. d.AsyounotethecoefficientofX3is-0.510.Fullyinterpretthemeaningofthiscoefficient. 121.Amultipleregressionanalysisbetweenyearlyincome(Yin$1,000s),collegegradepointaverage(X1),ageoftheindividuals(X2),andthegenderoftheindividual(X3;zerorepresentingfemaleandonerepresentingmale)wasperformedonasampleof10people,andthefollowingresultswereobtained.     CoefficientsStandardError Intercept4.09281.4400 X110.02301.6512 X20.10200.1225 X3-4.48111.4400     ANOVA     DFSSMSF Regression360.59 Residual(Error)23.91       a.Writetheregressionequationfortheabove. b.InterpretthemeaningofthecoefficientofX3. c.Computethecoefficientofdetermination. d.IsthecoefficientofX1significant?Useα=0.05. e.IsthecoefficientofX2significant?Useα=0.05. f.IsthecoefficientofX3significant?Useα=0.05. g.PerformanFtestanddeterminewhetherornotthemodelissignificant. 122.Thefollowingresultswereobtainedfromamultipleregressionanalysis.     SourceofDegreesSumofMean Variation RegressionofFreedomSquares 384Square 48F ErrorTotal 70420     a.Howmanyindependentvariableswereinvolvedinthismodel? b.Howmanyobservationswereinvolved? c.DeterminetheFstatistic.     .
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  123.Shownbelowisapartialcomputeroutputfromaregressionanalysis.       CoefficientStandardError Constant10.002.00 X1-2.001.50 X26.002.00 X3-4.001.00 AnalysisofVariance SourceofVariation DegreesofFreedom SumofSquares Mean SquareF Regression60 Error Total19140       a.Usetheaboveresultsandwritetheregressionequation. b.Computethecoefficientofdeterminationandfullyinterpretitsmeaning. c.Atα=0.05,testtoseeifthereisarelationbetweenX1andY. d.Atα=0.05,testtoseeifthereisarelationbetweenX3andY. e.Istheregressionmodelsignificant?PerformanFtestandletα=0.05. 124.Inordertodeterminewhetherornotthesalesvolumeofacompany(Yinmillionsofdollars)isrelatedtoadvertisingexpenditures(X1inmillionsofdollars)andthenumberofsalespeople(X2),dataweregatheredfor10years.Partoftheregressionresultsisshownbelow.     CoefficientsStandardError Intercept7.01741.8972 X18.62332.3968 X20.08580.1845     ANOVA     DFSSMSF Regression321.11 Residual(Error)63.39       a.Usetheaboveresultsandwritetheregressionequationthatcanbeusedtopredictsales. b.Estimatethesalesvolumeforanadvertisingexpenditureof3.5milliondollarsand45salespeople.Giveyouranswerindollars. c.Atα=0.05,testtodetermineifthefittedequationdevelopedinPartarepresentsasignificantrelationshipbetweentheindependentvariablesandthedependentvariable. d.Atα=0.05,testtoseeifβ1issignificantlydifferentfromzero. e.Determinethemultiplecoefficientofdetermination. f.Computetheadjustedcoefficientofdetermination. 125.Inordertodeterminewhetherornotthenumberofautomobilessoldperday(Y)isrelatedtoprice(X1in$1,000),andthenumberofadvertisingspots(X2),dataweregatheredfor7days.Partoftheregressionresultsisshownbelow.     CoefficientStandardError Constant0.8051 X10.49770.4617 X20.47330.0387   AnalysisofVariance SourceofDegreesSumofMean Variation RegressionofFreedomSquares 40.700SquareF Error1.016     a.DeterminetheleastsquaresregressionfunctionrelatingYtoX1andX2. b.Ifthecompanycharges$20,000foreachcaranduses10advertisingspots,howmanycarswouldyouexpectthemtosellinaday? c.Atα=0.05,testtodetermineifthefittedequationdevelopedinPartarepresentsasignificantrelationshipbetweentheindependentvariablesandthedependentvariable. d.At95%confidence,testtoseeifpriceisasignificantvariable. e.At95%confidence,testtoseeifthenumberofadvertisingspotsisasignificantvariable. f.Determinethemultiplecoefficientofdetermination.     .
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  61.Duringtheprimaryelectionsof1996,candidateAshowedthefollowingpre-electionvotersupportinTennesseeandMississippi.       VotersSurveyedVotersFavoringCandidateA Tennessee500295 Mississippi700357       a.Developa95%confidenceintervalestimateforthedifferencebetweentheproportionofvotersfavoringcandidateAinthetwostates. b.Isthereconclusiveevidencethatoneofthetwostateshadalargerproportionofvoters'support?Ifyes,whichstate?Explain.         62.Theresultsofarecentpollonthepreferenceofvotersregardingthepresidentialcandidatesareshownbelow.         VotersSurveyed VotersFavoringThisCandidate CandidateA200150 CandidateB300195       a.Developa90%confidenceintervalestimateforthedifferencebetweentheproportionofvotersfavoringeachcandidate. b.Doesyourconfidenceintervalprovideconclusiveevidencethatoneofthecandidatesisfavoredmore?Explain.     63.Inasampleof40Democrats,6opposedthePresident'sforeignpolicy,whileof50Republicans,8wereopposedtohispolicy.Determinea90%confidenceintervalestimateforthedifferencebetweentheproportionsoftheopinionsoftheindividualsinthetwoparties.     64.Inasampleof100Republicans,60favoredthePresident'santi-drugprogram.Whileinasampleof150Democrats,84favoredhisprogram.At95%confidence,testtoseeifthereisasignificantdifferenceintheproportionsoftheDemocratsandtheRepublicanswhofavoredthePresident'santi-drugprogram.   Z=0.63;p-value=0.5286(usingthenormaldistribution);donotrejectH0   65.Inarandomsampleof200Republicans,160opposedthenewtaxlaws.Whileinasampleof120Democrats,84opposedthenewtaxlaws.Determinea95%confidenceintervalestimateforthedifferencebetweentheproportionsofRepublicansandDemocratsopposedtothisnewlaw.       .
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  72.Babiesweighinglessthan5.5poundsatbirthareconsidered“low­birth­weightbabies.”IntheUnitedStates,7.6%ofnewbornsarelow-birth-weightbabies.Thefollowinginformationwasaccumulatedfromsamplesofnewbirthstakenfromtwocounties.       Hamilton Shelby Samplesize 150 200 Numberof“low­birth­weightbabies 18 22     a.Developa95%confidenceintervalestimateforthedifferencebetweentheproportionsoflow-birth-weightbabiesinthetwocounties. b.Isthereconclusiveevidencethatoneoftheproportionsissignificantlymorethantheother?Ifyes,whichcounty?Explain,usingtheresultsofpart(a).Donotperformanytest.     73.Inthelastpresidentialelection,beforethecandidatesstartedtheirmajorcampaigns,thepercentagesofregisteredvoterswhofavoredthevariouscandidateswereasfollows.       Percentages Republicans 34% Democrats 43% Independents 23%   Afterthemajorcampaignsbegan,arandomsampleof400votersshowedthat172favoredtheRepublicancandidate;164wereinfavoroftheDemocraticcandidate;and64favoredtheIndependentcandidate.Weareinterestedindeterminingwhethertheproportionofvoterswhofavoredthevariouscandidateshadchanged.         a.Computetheteststatistic. b.Usingthep-valueapproach,testtoseeiftheproportionshavechanged. c.Usingthecriticalvalueapproach,testthehypotheses.         74.Duringthefirstfewweeksofthenewtelevisionseason,theeveningnewsaudienceproportionswererecordedasABC-31%,CBS-34%,andNBC-35%.Asampleof600homesyieldedthefollowingviewingaudiencedata.       NumberofHomes ABC 150 CBS 200 NBC 250   Wewanttodeterminewhetherornottherehasbeenasignificantchangeinthenumberofviewingaudienceofthethreenetworks.   a.Statethenullandalternativehypothesestobetested. b.Computetheexpectedfrequencies. c.Computetheteststatistic. d.Thenullhypothesisistobetestedat95%confidence.Determinethecriticalvalueforthistest.Whatdoyouconclude? e.Determinethep-valueandperformthetest.         75.Theresultsofarecentstudyregardingsmokingandthreetypesofillnessareshowninthefollowingtable.     Illness Non-Smokers Smokers Totals Emphysema 20 60 80 Heartproblem 70 80 150 Cancer 30 40 70 Totals 120 180 300   Weareinterestedindeterminingwhetherornotillnessisindependentofsmoking.     a.Statethenullandalternativehypothesestobetested. b.Showthecontingencytableoftheexpectedfrequencies. c.Computetheteststatistic. d.Thenullhypothesisistobetestedat95%confidence.Determinethecriticalvalueforthistest.Whatdoyouconclude? e.Determinethep-valueandperformthetest.                                                     .
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  126.Givenbelowarefiveobservationscollectedinaregressionstudyontwovariables,x(independentvariable)andy(dependentvariable).     xy 24 34 43 52 61     a.Developtheleastsquaresestimatedregressionequation. b.At95%confidence,performattestanddeterminewhetherornottheslopeissignificantlydifferentfromzero. c.PerformanFtesttodeterminewhetherornotthemodelissignificant.Letα=0.05. d.Computethecoefficientofdetermination. e.Computethecoefficientofcorrelation.   127.Belowyouaregivenapartialcomputeroutputbasedonasampleof8observations,relatinganindependentvariable(x)andadependentvariable(y).     CoefficientStandardError Intercept13.25110.77 X0.8030.385     AnalysisofVariance   SOURCESS Regression Error(Residual)41.674 Total71.875       a.Developtheestimatedregressionline. b.Atα=0.05,testforthesignificanceoftheslope. c.Atα=0.05,performanFtest. d.Determinethecoefficientofdetermination.         .
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  80.Beforethepresidentialdebates,itwasexpectedthatthepercentagesofregisteredvotersinfavorofvariouscandidateswouldbeasfollows.       Percentages Democrats 48% Republicans 38% Independent 4% Undecided 10%   Afterthepresidentialdebates,arandomsampleof1200votersshowedthat540favoredtheDemocraticcandidate;480wereinfavoroftheRepublicancandidate;40wereinfavoroftheIndependentcandidate,and140wereundecided.Wewanttoseeiftheproportionofvotershaschanged.   a.Computetheteststatistic. b.Usethep-valueapproachtotestthehypotheses.Letα=.05. c.Usingthecriticalvalueapproach,testthehypotheses.Letα=.05.       81.Lastschoolyear,intheschoolofBusinessAdministration,30%wereAccountingmajors,24%Managementmajors,26%Marketingmajors,and20%Economicsmajors.Asampleof300studentstakenfromthisyear'sstudentsoftheschoolshowedthefollowingnumberofstudentsineachmajor:     Accounting 83 Management 68 Marketing 85 Economics 64 Total 300   Wewanttoseeiftherehasbeenasignificantchangeinthenumberofstudentsineachmajor.   a.Computetheteststatistic. b.Hastherebeenanysignificantchangeinthenumberofstudentsineachmajorbetweenthelastschoolyearandthisschoolyear.Usethep-valueapproachandletα=.05.   82.Thepersonneldepartmentofalargecorporationreportedsixtyresignationsduringthelastyear.Thefollowingtablegroupstheseresignationsaccordingtotheseasoninwhichtheyoccurred:         Season NumberofResignations Winter10 Spring22 Summer19 Fall9   Testtoseeifthenumberofresignationsisuniformoverthefourseasons.Letα=0.05.   83.In2013,fortypercentofthestudentsatamajoruniversitywereBusinessmajors,35%wereEngineeringmajorsandtherestofthestudentsweremajoringinotherfields.Inasampleof600studentsfromthesameuniversitytakenin2014,twohundredwereBusinessmajors,220wereEngineeringmajorsandtheremainingstudentsinthesampleweremajoringinotherfields.At95%confidence,testtoseeiftherehasbeenasignificantchangeintheproportionsbetween2013and2014.         84.BeforetherushbeganforChristmasshopping,adepartmentstorehadnotedthatthepercentageofitscustomerswhousethestore'screditcard,thepercentageofthosewhouseamajorcreditcard,andthepercentageofthosewhopaycasharethesame.DuringtheChristmasrushinasampleof150shoppers,46usedthestore'screditcard;43usedamajorcreditcard;and61paidcash.Withα=0.05,testtoseeifthemethodsofpaymenthavechangedduringtheChristmasrush.   85.Amajorautomobilemanufacturerclaimedthatthefrequenciesofrepairsonallfivemodelsofitscarsarethesame.Asampleof200repairservicesshowedthefollowingfrequenciesonthevariousmakesofcars.     ModelofCar Frequency A 32 B 45 C 43 D 34 E 46   Atα=0.05,testthemanufacturer'sclaim.       .
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    11.Thestandarderroristhe a.t-statisticsquared b.squarerootofSSE c.squarerootofSST d.squarerootofMSE     12.IfonlyMSEisknown,youcancomputethe a.rsquare b.coefficientofdetermination c.standarderror d.allofthesealternativesarecorrect     13.Thevalueofthecoefficientofcorrelation(R) a.canbeequaltothevalueofthecoefficientofdetermination(R2) b.canneverbeequaltothevalueofthecoefficientofdetermination(R2) c.isalwayssmallerthanthevalueofthecoefficientofdetermination d.isalwayslargerthanthevalueofthecoefficientofdetermination     14.Inaregressionanalysisthestandarderrorisdeterminedtobe4.InthissituationtheMSE a.is2 b.is16 c.dependsonthesamplesize d.dependsonthedegreesoffreedom     15.Inregressionanalysis,whichofthefollowingisnotarequiredassumptionabouttheerrortermε? a.Theexpectedvalueoftheerrortermisone. b.ThevarianceoftheerrortermisthesameforallvaluesofX. c.Thevaluesoftheerrortermareindependent. d.Theerrortermisnormallydistributed.       16.Aregressionanalysisbetweensales(Yin$1000)andadvertising(Xindollars)resultedinthefollowingequation   =30,000+4X   Theaboveequationimpliesthatan a.increaseof$4inadvertisingisassociatedwithanincreaseof$4,000insales b.increaseof$1inadvertisingisassociatedwithanincreaseof$4insales c.increaseof$1inadvertisingisassociatedwithanincreaseof$34,000insales d.increaseof$1inadvertisingisassociatedwithanincreaseof$4,000insales       17.Regressionanalysisisastatisticalprocedurefordevelopingamathematicalequationthatdescribeshow a.oneindependentandoneormoredependentvariablesarerelated b.severalindependentandseveraldependentvariablesarerelated c.onedependentandoneormoreindependentvariablesarerelated d.Noneofthesealternativesiscorrect.     18.Inasimpleregressionanalysis(whereYisadependentandXanindependentvariable),iftheYinterceptispositive,then a.thereisapositivecorrelationbetweenXandY b.ifXisincreased,Ymustalsoincrease c.ifYisincreased,Xmustalsoincrease d.Noneofthesealternativesiscorrect.     19.Inregressionanalysis,thevariablethatisbeingpredictedisthe a.dependentvariable b.independentvariable c.interveningvariable d.is usuallyx     20.Theequationthatdescribeshowthedependentvariable(y)isrelatedtotheindependentvariable(x)iscalled a.thecorrelationmodel b.theregressionmodel c.correlationanalysis d.Noneofthesealternativesiscorrect.         .
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    31.RefertoExhibit11-4.Thehypothesisistobetestedatthe5%levelofsignificance.Thecriticalvaluefromthetableequals a.1.645 b.1.96 c.5.991 d.7.815         32.RefertoExhibit11-4.Thep-valueis a.greaterthan0.1 b.between0.05and0.1 c.between0.025and0.05 d.between0.01and.025     33.RefertoExhibit11-4.Theconclusionofthetestisthatthe a.proportionshavechangedsignificantly b.proportionshavenotchangedsignificantly c.testisinconclusive d.Noneofthesealternativesiscorrect.     Exhibit11-5 Thetablebelowgivesbeveragepreferencesforrandomsamplesofteensandadults.       Teens Adults Total Coffee 50 200 250 Tea 100 150 250 SoftDrink 200 200 400 Other 50 50 100 400 400 600 1,000   Weareaskedtotestforindependencebetweenage(i.e.,adultandteen)anddrinkpreferences. 34.RefertoExhibit11-5.Witha.05levelofsignificance,thecriticalvalueforthetestisa.1.645 b.7.815 c.14.067 d.15.507       35.RefertoExhibit11-5.Theexpectednumberofadultswhoprefercoffeeisa.0.25 b.0.33 c.150 d.200         36.RefertoExhibit11-5.Theteststatisticforthistestofindependenceis a.0b.8.4 c.62.5 d.82.5     37.RefertoExhibit11-5.Thep-valueis a.between.1and.05 b.between.05and.025 c.between.025and.01 d.lessthan0.005     Exhibit11-6 Thefollowingshowsthenumberofindividualsinasampleof300whoindicatedtheysupportthenewtaxproposal.     PoliticalParty Support Democrats 100 Republicans 120 Independents 80     Weareinterestedindeterminingwhetherornottheopinionsoftheindividualsofthethreegroupsareuniformlydistributed. 38.RefertoExhibit11-6.Theexpectedfrequencyforeachgroupisa.0.333 b.0.50 c.50 d.Noneofthesealternativesiscorrect.       39.RefertoExhibit11-6.Thecalculatedvaluefortheteststatisticequalsa.300 b.4 c.0 d.8         40.RefertoExhibit11-6.Thenumberofdegreesoffreedomassociatedwiththisproblemis a.2 b.3c.300d.299   Exhibit11-7 Theresultsofarecentpollonthepreferenceofshoppersregardingtwoproductsareshownbelow.         ProductShoppers Surveyed ShoppersFavoringThisProduct A800560 B900612       .
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    71.RefertoExhibit12-2.Thepointestimateofywhenx=10isa.-10 b.10 c.-4 d.4       72.RefertoExhibit12-2.Thesamplecorrelationcoefficientequals a.0 b.+1 c.-1d.-0.5   73.RefertoExhibit12-2.Thecoefficientofdeterminationequals a.0 b.-1 c.+1d.-0.5     Exhibit12-3 Youaregiventhefollowinginformationaboutyandx.   DependentVariable(Y)IndependentVariable(X) 124 36 72 64 74.RefertoExhibit12-3.Theleastsquaresestimateofb1equals a.1 b.-1c.-11 d.11       75.RefertoExhibit12-3.Theleastsquaresestimateofb0equals a.1 b.-1c.-11 d.11       76.RefertoExhibit12-3.Thesamplecorrelationcoefficientequalsa.-0.4364 b.0.4364 c.-0.1905 d.0.1905     77.RefertoExhibit12-3.Thecoefficientofdeterminationequalsa.-0.4364 b.0.4364 c.-0.1905 d.0.1905       Exhibit12-4 Regressionanalysiswasappliedbetweensalesdata(Yin$1,000s)andadvertisingdata(xin$100s)andthefollowinginformationwasobtained.   = 12 + 1.8x   n=17 SSR=225 SSE = 75 Sb1=0.2683 78.RefertoExhibit12-4.Basedontheaboveestimatedregressionequation,ifadvertisingis$3,000,thenthepointestimateforsales(indollars)is a.$66,000b.$5,412 c.$66 d.$17,400       79.RefertoExhibit12-4.TheFstatisticcomputedfromtheabovedatais a.3 b.45 c.48 d.50       80.RefertoExhibit12-4.ToperformanFtest,thep-valueis a.lessthan.01 b.between.01and.025 c.between.025and.05 d.between.05and0.1       .
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    101.RefertoExhibit13-10.ThevalueofMSEisa.348 b.10.40 c.10.83 d.32.13     102.RefertoExhibit13-10.TheteststatisticFfortestingthesignificanceoftheabovemodelisa.32.12 b.6.69 c.4.8 d.58     103.RefertoExhibit13-10.Thep-valuefortestingthesignificanceoftheregressionmodelis a.lessthan0.01 b.between0.01and0.025 c.between0.025and0.05 d.between0.05and0.1     104.RefertoExhibit13-10.Thecoefficientofdeterminationforthismodelisa.0.6923 b.0.1494 c.0.1300 d.0.8700       Exhibit13-11 Belowyouaregivenapartialcomputeroutputbasedonasampleof25observations.     CoefficientStandardError Constant14529 X1205 X2-186 X344 105.RefertoExhibit13-11.Theestimatedregressionequationis a.Y=β0+β1X1+β2X2+β3X3+ε b.E(Y)=β0+β1X1+β2X2+β3X3 c.=29+5X1+6X2+4X3 d.  =145+20X1–18X2+4X3   106.RefertoExhibit13-11.Wewanttotestwhethertheparameterβ2issignificant.Theteststatisticequals a.4 b.5 c.3 d.-3     107.RefertoExhibit13-11.Thecriticaltvalueobtainedfromthetabletotestanindividualparameteratthe5%levelisa.2.06 b.2.069 c.2.074 d.2.080       Exhibit13-12 Inalaboratoryexperiment,dataweregatheredonthelifespan(Yinmonths)of33rats,unitsofdailyproteinintake (X1),andwhetherornotagentX2(aproposedlifeextendingagent)wasaddedtotheratsdiet(X2=0ifagentX2wasnotadded,andX2=1ifagentwasadded.)Fromtheresultsoftheexperiment,thefollowingregressionmodelwasdeveloped.   =36+0.8X1–1.7X2   AlsoprovidedareSSR=60andSST=180. 108.RefertoExhibit13-12.Fromtheabovefunction,itcanbesaidthatthelifeexpectancyofratsthatweregivenagentX2is a.1.7monthsmorethanthosewhodidnottakeagentX2 b.1.7monthslessthanthosewhodidnottakeagentX2 c.0.8monthslessthanthosewhodidnottakeagentX2 d.0.8monthsmorethanthosewhodidnottakeagentX2     109.RefertoExhibit13-12.Thelifeexpectancyofaratthatwasgiven3unitsofproteindaily,andwhotookagentX2is a.36.7 b.36 c.49 d.38.4   110.RefertoExhibit13-12.ThelifeexpectancyofaratthatwasnotgivenanyproteinandthatdidnottakeagentX2is a.36.7 b.34.3 c.36 d.38.4     .
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    31.AnANOVAprocedureisusedfordataobtainedfromfivepopulations.fivesamples,eachcomprisedof20observations,weretakenfromthefivepopulations.Thenumeratoranddenominator(respectively)degreesoffreedomforthecriticalvalueofFare a.5 and20 b.4 and20 c.4 and99 d.4 and95     32.ThecriticalFvaluewith8numeratorand29denominatordegreesoffreedomatα=0.01isa.2.28 b.3.20 c.3.33 d.3.64     33.AnANOVAprocedureisusedfordataobtainedfromfourpopulations.Foursamples,eachcomprisedof30observations,weretakenfromthefourpopulations.Thenumeratoranddenominator(respectively)degreesoffreedomforthecriticalvalueofFare a.3 and30 b.4 and30 c.3 and119 d.3 and116       34.Whichofthefollowingisnotarequiredassumptionfortheanalysisofvariance? a.Therandomvariableofinterestforeachpopulationhasanormalprobabilitydistribution. b.Thevarianceassociatedwiththerandomvariablemustbethesameforeachpopulation. c.Atleast2populationsareunderconsideration. d.Populationshaveequalmeans.     35.Whichofthefollowingisnotarequiredassumptionfortheanalysisofvariance? a.Therandomvariableofinterestforeachpopulationhasanormalprobabilitydistribution. b.Thevarianceassociatedwiththerandomvariablemustbethesameforeachpopulation. c.Atleast2populationsareunderconsideration. d.Populationshaveequalmeans.     36.Inananalysisofvariance,oneestimateofσ2isbaseduponthedifferencesbetweenthetreatmentmeansandthe a.meansofeachsample b.overallsamplemean c.sumofobservations d.populationshaveequalmeans     37.Ifweareinterestedintestingwhetherthemeanofitemsinpopulation1issignificantlysmallerthanthemeanofitemsinpopulation2,the a.nullhypothesisshouldstateμ1-μ2<0 b.nullhypothesisshouldstate P1-P2≥ 0 c.alternativehypothesisshouldstateP1-P2>0 d.alternativehypothesisshouldstateμ1-μ2<0   38.Ifweareinterestedintestingwhetherthemeanofpopulation1issignificantlylargerthanthemeanofpopulation2,thecorrectnullhypothesisis a.H0:μ1-μ2≥0 b.H0:μ1-μ2=0 c.H0:μ1-μ2> 0 d.H0:μ1-μ2< 0     39.Ifweareinterestedintestingwhetherthemeanofpopulation1issignificantlydifferentfromthemeanofpopulation2,thecorrectnullhypothesisis a.H0:μ1-μ2≥0 b.H0:μ1-μ2=0 c.H0:μ1-μ2> 0 d.H0:μ1-μ2= 0   40.Independentsimplerandomsamplesaretakentotestthedifferencebetweenthemeansoftwopopulationswhosevariancesareknown.Thesamplesizesaren1=38andn2=42.Thecorrectdistributiontouseisthe a.normaldistribution b.tdistributionwith80degreesoffreedom c.tdistributionwith79degreesoffreedom d.tdistributionwith78degreesoffreedom       .
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    41.RefertoExhibit11-7.Thepointestimateforthedifferencebetweenthetwopopulationproportionsinfavorofthisproductis a.52b.100c.0.44d.0.02     42.RefertoExhibit11-7.Thestandarderrorofis a.52 b.0.044 c.0.0225 d.100     43.RefertoExhibit11-7.At95%confidence,themarginoferrorisa.0.064 b.0.044 c.0.0225 d.52         44.RefertoExhibit11-7.The95%confidenceintervalestimateforthedifferencebetweenthepopulationsfavoringtheproductsis a.-0.024to0.064 b.0.6to0.7 c.0.024to0.7 d.0.02to0.3     Exhibit11-8 Aninsurancecompanyselectedsamplesofclientsunder18yearsofageandover18andrecordedthenumberofaccidentstheyhadinthepreviousyear.Theresultsareshownbelow.   UnderAgeof18OverAgeof18 n1=500n2=600 Number of accidents = 180Numberofaccidents=150   Weareinterestedindeterminingiftheaccidentproportionsdifferbetweenthetwoagegroups. 45.RefertoExhibit11-8andletpurepresenttheproportionunderandpotheproportionovertheageof18.Thenullhypothesisis a.pu-po≤0 b.pu-po≥0 c.pu-po≠0 d.pu-po=0     46.RefertoExhibit11-8.Thepooledproportionisa.0.305 b.0.300 c.0.027 d.0.450     47.RefertoExhibit11-8.Theteststatisticisa.0.96 b.1.96 c.2.96 d.3.96         48.RefertoExhibit11-8.Thep-valueis a.lessthan0.001 b.morethan0.10c.0.0228 d.0.3     Exhibit11-9 Theresultsofarecentpollonthepreferenceofteenagersregardingthetypesofmusictheylistentoareshownbelow.         MusicTypeTeenagersSurveyed TeenagersFavoringThisType Pop800384 Rap900450 49.RefertoExhibit11-9.Thepointestimateforthedifferencebetweentheproportionsisa.-0.02 b.0.048 c.100 d.66       50.RefertoExhibit11-9.Thestandarderrorofisa.0.48 b.0.50 c.0.03 d.0.0243     51.RefertoExhibit11-9.The95%confidenceintervalforthedifferencebetweenthetwoproportionsisa.384 to450 b.0.48to0.5 c.0.028to0.068 d.-0.068to0.028         52.Weareinterestedintestingthefollowinghypotheses.   H0: P1-P2≤0 Ha: P1-P2>0   TheteststatisticZiscomputedtobe0.58.Thep-valueforthistestisa.0.7190 b.0.2810 c.0.5620 d.0.5800     53.Weareinterestedintestingthefollowinghypotheses.   H0: P1-P2=0Ha: P1-P2≠0   TheteststatisticZiscomputedtobe2.0.Thep-valueforthistestisa.0.9772 b.1.9544 c.0.0228 d.0.0456     54.Foratwo-tailedtestat98.5%confidence,Z=a.±2.17 b. ±1.96 c.±2.98 d. ±2.43     55.Foraone-tailedtest(lowertail)at99.7%confidence,Z=a.±1.86 b.-2.75 c.±1.96 d.-1.645                 .
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  97.Fromapollof800televisionviewers,thefollowingdatahavebeenaccumulatedastotheirlevelsofeducationandtheirpreferenceoftelevisionstations.       LevelofEducation     HighSchool Bachelor Graduate TOTAL PublicBroadcasting 110 190 100 400 CommercialStations 80 220 100 400 TOTAL 190 410 200 800   Testatα=.05todetermineiftheselectionofaTVstationisdependentuponthelevelofeducation.Usethep-valueapproach.         98.Thedatabelowrepresentsthefieldsofspecializationforarandomlyselectedsampleofundergraduatestudents.Wewanttodeterminewhetherthereisasignificantdifferenceinthefieldsofspecializationbetweenregionsofthecountry.       Northeast Midwest South West Total Business 54 65 28 93 240 Engineering 15 24 8 33 80 LiberalArts 65 84 33 98 280 FineArts 13 15 7 25 60 HealthSciences 3 12 4 21 40   150 200 80 270 700     a.Determinethecriticalvalueofthechi-squareχ2forthistestofindependence. b.Calculatethevalueoftheteststatistic. c.Whatistheconclusionforthistest?Letα=.05.   99.Inasampleof700Republicans,644wereopposedtothePresident'sforeignpolicies.Whileinasampleof600Democrats,528wereopposedtohispolicies.Developa95%confidenceintervalestimateforthedifferencebetweentheproportionsoftheopinionsoftheindividualsinthetwoparties.       100.Shopperswereaskedwheretheydotheirregulargroceryshopping.Thetablebelowshowstheirresponsesofthesampledshoppers.Weareinterestedindeterminingiftheproportionsfemalesinthethreecategoriesaredifferentfromeachother.       Gender Grocery chain Discount store Membership warehouse     Total Female 230 80 100 410 Male 80 50 60 190 Total 310 130 160 600     a.Providethenullandthealternativehypotheses. b.Determinetheexpectedfrequencies. c.Computethesampleproportions. d.Computethecriticalvalues(CVij). e.Giveyourconclusionsbyprovidingnumericalreasoning.                     c.p1=0.7419p2= 0.6154 p3= 0.6250 d. CV12=0.12087CV13=0.11170 CV23=0.14030 e. PairwiseComparison Pi-Pj CVij Sig. if (pi-pj)>CVij 1Vs.2 0.1266 0.12087 Significant 1Vs.3 0.1169 0.11170 Significant 2Vs.3 0.0096 0.14030 Notsignificant           .
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    31.Ifthecoefficientofdeterminationisequalto1,thenthecoefficientofcorrelation a.mustalsobeequalto1 b.canbeeither-1or+1 c.canbeanyvaluebetween-1to+1 d.mustbe-1     32.Inaregressionanalysis,thevariablethatisbeingpredicted a.musthavethesameunitsasthevariabledoingthepredicting b.istheindependentvariable c.isthedependentvariable d.usuallyisdenotedbyx       33.Regressionanalysiswasappliedbetweendemandforaproduct(Y)andthepriceoftheproduct(X),andthefollowingestimatedregressionequationwasobtained.   =120- 10X   Basedontheaboveestimatedregressionequation,ifpriceisincreasedby2units,thendemandisexpectedto a.increaseby120units b.increaseby100units c.increaseby20units d.deceaseby20units     34.Thecoefficientofcorrelation a.isthesquareofthecoefficientofdetermination b.isthesquarerootofthecoefficientofdetermination c.isthesameasr-square d.canneverbenegative     35.Ifthecoefficientofcorrelationisapositivevalue,thentheregressionequation a.musthaveapositiveslope b.musthaveanegativeslope c.couldhaveeitherapositiveoranegativeslope d.musthaveapositiveyintercept       36.Ifthecoefficientofcorrelationis0.8,thepercentageofvariationinthedependentvariableexplainedbythevariationintheindependentvariableis a.0.80% b.80% c.0.64% d.64%     37.Inregressionandcorrelationanalysis,ifSSEandSSTareknown,thenwiththisinformationthe a.coefficientofdeterminationcanbecomputed b.slopeofthelinecanbecomputed c.Yinterceptcanbecomputed d.xinterceptcanbecomputed       38.Inregressionanalysis,iftheindependentvariableismeasuredinpounds,thedependentvariable a.mustalsobeinpounds b.mustbeinsomeunitofweight c.cannotbeinpounds d.canbeanyunits     39.Ifthereisaveryweakcorrelationbetweentwovariables,thenthecoefficientofdeterminationmustbe a.muchlargerthan1,ifthecorrelationispositive b.muchsmallerthan-1,ifthecorrelationisnegative c.muchlargerthanone d.Noneofthesealternativesiscorrect.     40.SSEcanneverbe a.largerthanSST b.smallerthanSST c.equalto1 d.equaltozero         .
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    71.RefertoExhibit10-2.Basedontheresultsofquestion18,the a.nullhypothesisshouldberejected b.nullhypothesisshouldnotberejected c.alternativehypothesisshouldbeaccepted d.Noneofthesealternativesiscorrect.       Exhibit10-3 Astatisticsteacherwantstoseeifthereisanydifferenceintheabilitiesofstudentsenrolledinstatisticstodayandthoseenrolledfiveyearsago.Asampleoffinalexaminationscoresfromstudentsenrolledtodayandfromstudentsenrolledfiveyearsagowastaken.Youaregiventhefollowinginformation.         σ2 n 72.RefertoExhibit10-3.Thepointestimateforthedifferencebetweenthemeansofthetwopopulationsisa.58.5 b.9 c.-9 d.-6       73.RefertoExhibit10-3.Thestandarderrorofisa.12.9 b.9.3 c.4 d.2     74.RefertoExhibit10-3.The95%confidenceintervalforthedifferencebetweenthetwopopulationmeansisa.-9.92to-2.08 b.-3.92to3.92 c.-13.84to1.84 d.-24.228to12.23     75.RefertoExhibit10-3.Theteststatisticforthedifferencebetweenthetwopopulationmeansisa.-.47 b.-.65 c.-1.5 d.-3       76.RefertoExhibit10-3.Thep-valueforthedifferencebetweenthetwopopulationmeansisa..0013 b..0026 c..4987 d..9987     77.RefertoExhibit10-3.Whatistheconclusionthatcanbereachedaboutthedifferenceintheaveragefinalexaminationscoresbetweenthetwoclasses?(Usea.05levelofsignificance.) a.Thereisastatisticallysignificantdifferenceintheaveragefinalexaminationscoresbetweenthetwoclasses. b.Thereisnostatisticallysignificantdifferenceintheaveragefinalexaminationscoresbetweenthetwoclasses. c.Itisimpossibletomakeadecisiononthebasisoftheinformationgiven. d.Thereisadifference,butitisnotsignificant.     Exhibit10-4 Thefollowinginformationwasobtainedfromindependentrandomsamples.Assumenormallydistributedpopulationswithequalvariances.       Sample1 Sample2 SampleMean 45 42 SampleVariance 85 90 SampleSize 10 12 78.RefertoExhibit10-4.Thepointestimateforthedifferencebetweenthemeansofthetwopopulationsis a.0 b.2 c.3 d.15       79.RefertoExhibit10-4.Thestandarderrorofisa.3.0 b.4.0 c.8.372 d.19.48       80.RefertoExhibit10-4.Thedegreesoffreedomforthet-distributionare a.22 b.23 c.24 d.19       .
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