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Study Resources (Statistics)

  33.Several years ago the proportion of Americans aged 18 - 24 who invested in the stock market was 0.20. A random sample of 25 Americans in this age group was recently taken. They were asked whether or not they invested in the stock market. The results follow:   yesnonoyesno noyesnonoyes nonononono nononoyesno nonoyesnono   At a .05 level.
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    51.Refer to Exhibit 11-8. The test statistic has a value of a.20.91 b.24.20 c.24.00 d.20.00       52.Refer to Exhibit 11-8. If the test is to be performed at 95% confidence, the critical value(s) from the table is(are) a.10.9823 and 36.7897 b.33.9244 c.12.3380 d.43.7729       53.Refer to Exhibit 11-8. The null hypothesis a.should be rejected b.should not be rejected c.should be revised d.None of these alternatives is.
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    61.In Excel, which of the following functions is used to conduct a hypothesis test for comparing two population variances? a.CHISQ.DIST b.F-Test c.CHI.INV d.None of these answers are correct.       Exhibit 11-9   n = 14s = 20H0: ?? ? 500 Ha: ?? ? 500     62.Refer to Exhibit 11-9. The test statistic for this problem equals a..63 b.12.68 c.13.33 d.13.66       63.Refer to Exhibit 11-9. The null.
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    16.Five hundred randomly selected automobile owners were questioned on the main reason they had purchased their current automobile. The results are given below.   Main Reason Purchased StylingEngineeringFuel EconomyTotal Male70130150350 Female3020100150 Total100150250500   a.State the null and alternative hypotheses for a contingency table test. b.State the decision rule, using a .10 level of significance. c.Calculate the chi-square test statistic. d.Give your.
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    11.In regression analysis, the independent variable is a.used to predict other independent variables b.used to predict the dependent variable c.called the intervening variable d.None of these answers is correct.       12.The equation that describes how the dependent variable (y) is related to the independent variable (x) is called a.the correlation model b.the regression model c.correlation analysis d.None of these answers.
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    41.Refer to Exhibit 11-5. The null hypothesis is to be tested at the 5% level of significance. The critical value(s) from the table is(are) a.22.3621 b.23.6848 c.5.00874 and 24.7356 d.5.62872 and 26.119       42.Refer to Exhibit 11-5. The null hypothesis a.should be rejected b.should not be rejected c.should be revised d.None of these alternatives is correct.       Exhibit 11-6   Sample ASample B s23238 n2416   We want.
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  26.Consider the following hypothesis test:   Ho: p ? 0.5 Ha: p ? 0.5   A sample of 800 provided a sample proportion of 0.58. a.Using ? ? 0.05, what is the rejection rule? b.Determine the standard error of the proportion. c.Compute the value of the test statistic z. What is your conclusion? d.Determine the p-value.       27.A new soft drink.
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    31.Part of an ANOVA table is shown below.     Source of VariationSum of SquaresDegrees of FreedomMean Square F Between Treatments903_____?_____? Within Treatments (Error)12020_____? Total_____?_____?   a.Compute the missing values and fill in the blanks in the above table. Use ? = .01 to determine if there is any significant difference among the means. b.How many groups have there been in this problem? c.What.
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  21.You are given an ANOVA table below with some missing entries.     Source of VariationSum of SquaresDegrees of FreedomMean Square F Between Treatments31,198.8 Between Blocks5,0406840.0 Error5,99418 Total27   a.State the null and alternative hypotheses. b.Compute the sum of squares between treatments. c.Compute the mean square due to error. d.Compute the total sum of squares. e.Compute the test statistic F. f.Test the null hypothesis stated in Part a.
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    11.Refer to Exhibit 12-1. The calculated value for the test statistic equals a.2 b.-2 c.20 d.4       12.Refer to Exhibit 12-1. The number of degrees of freedom associated with this problem is a.150 b.149 c.2 d.3       13.Refer to Exhibit 12-1. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals a.7.37776 b.7.81473 c.5.99147 d.9.34840       14.Refer to Exhibit.
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  26.We are interested in determining whether or not the variances of the starting salaries of accounting majors is significantly different from management majors. The following information was gathered from two samples:   AccountingManagement Sample Size1616 Average Monthly Income$2,400$2,500 Standard Deviation$   105$   125   At a 5% level of significance, test to determine whether or not the variances are equal.     27.The.
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  51.A research organization wishes to determine whether four brands of batteries for transistor radios perform equally well. Three batteries of each type were randomly selected and installed in the three test radios. The number of hours of use for each battery is given below.   Brand Radio1234 A25272028 B29382437 C21281619   Consider the three different test radios and.
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  PROBLEM   1.Information regarding the ACT scores of samples of students in three different majors are given below.   Student's Major ManagementFinanceAccounting 282229 262327 252426 272228 212425 192626 272728 172920 172820 2324 28 28 29 Sums230225338 Means232526 Variances186.759.33   a.Set up the ANOVA table for this problem. b.At a 5% level of significance, test to determine whether there is a significant difference in the means of the three populations.       2.Information regarding the ACT scores of.
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  29.Prior to the start of the season, it was expected that audience proportions for the four major news networks would be CBS 28%, NBC 35%, ABC 22% and BBC 15%.  A recent sample of homes yielded the following viewing audience data.   Network     Number of Homes CBS850 NBC980 ABC670 BBC500   We want to determine whether or not the.
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  36.Ten observations were selected from each of 3 populations, and an analysis of variance was performed on the data. The following are the results:     Source of VariationSum of SquaresDegrees of FreedomMean Square F Between Treatments82.4 Within Treatments (Error)158.4 Total     a.Using ? = .05, test to see if there is a significant difference among the means of the three populations. b.If.
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  MULTIPLE CHOICE   1.A population where each element of the population is assigned to one and only one of several classes or categories is a a.multinomial population b.Poisson population c.normal population d.None of these alternatives is correct.       2.The sampling distribution for a goodness of fit test is a.the Poisson distribution b.the t distribution c.the normal distribution d.the chi-square distribution       3.A goodness of.
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  16.You are given the following results from a sample of 5 observations.   46343   a.Construct a 99% confidence interval for the population variance. b.The null and alternative hypotheses are H0: 2 ? 2 and Ha: 2 < 2. Compute the test statistic. c.Perform the test of the hypothesis at the 1% level. d.What do you conclude.
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  26.Individuals were randomly assigned to three different production processes. The hourly units of production for the three processes are shown below.   Production Process Process 1Process 2Process 3 333328 303536 283030 293834   Use the analysis of variance procedure with ? = 0.05 to determine if there is a significant difference in the mean hourly units of production for.
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    51.Refer to Exhibit 13-5. The conclusion of the test is that the means a.are equal to fifty b.may be equal c.are not equal d.None of these alternatives is correct.       Exhibit 13-6 Part of an ANOVA table is shown below.     Source of VariationSum of SquaresDegrees of FreedomMean Square F Between Treatments648 Within Treatments (Error)2 Total100     52.Refer to Exhibit 13-6. The number of degrees of freedom corresponding.
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  21.Two classes in business statistics showed the following results on a recent test.   Class 1Class 2 Sample Size2521 Sample Mean8284 Sample Standard Deviation6.27.6   Carry out a test to determine whether the difference in the variance of the scores on this test is due to chance variation or is statistically significant with a .02 level of.
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  MULTIPLE CHOICE   1.The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the a.correlation coefficient b.standard error of the estimate c.coefficient of determination d.confidence interval estimate       2.The least squares criterion is a.min b.min c.min d.min       3.In a residual plot against x that does not suggest we.
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    21.A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation   ? 50,000 ? 8x   The above equation implies that an a.increase of $1 in price is associated with a decrease of $8 in sales b.increase of $8 in price is associated with an increase of $8,000 in sales c.increase.
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  MULTIPLE CHOICE   1.In an analysis of variance problem if SST = 120 and SSTR = 80, then SSE is a.200 b.40 c.80 d.120       2.In the analysis of variance procedure (ANOVA), factor refers to a.the dependent variable b.the independent variable c.different levels of a treatment d.the critical value of F       3.In an analysis of variance problem involving 3 treatments and 10 observations.
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  11.Shown below is a 3 ? 2 contingency table with observed values from a sample of 1,500. At 95% confidence, test for independence of the row and column factors.   Column Factor Row FactorxyTotal A450300750 B300300600 C1500150 Total9006001,500       12.Shown below is a 2 ? 3 contingency table with observed values from a sample of 500. At 95% confidence,.
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    11.In the ANOVA, treatment refers to a.experimental units b.different levels of a factor c.a factor d.applying antibiotic to a wound       12.The mean square is the sum of squares divided by a.the total number of observations b.its corresponding degrees of freedom c.its corresponding degrees of freedom minus one d.None of these alternatives is correct.       13.In factorial designs, the response produced when.
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    61.Refer to Exhibit 13-7. The computed test statistics is a.32 b.8 c.0.667 d.4       62.Refer to Exhibit 13-7. The conclusion of the test is that the means a.are equal b.may be equal c.are not equal d.None of these alternatives is correct.       63.In a completely randomized design involving four treatments, the following information is provided.   Treatment 1Treatment 2Treatment 3Treatment 4 Sample Size50181517 Sample Mean32384248   The overall.
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  21.You are given the following information obtained from a random sample of 5 observations.   2018172218   At a 10% level of significance, use Excel to determine whether or not the mean of the population from which this sample was taken is significantly less than 21. (Assume the population is normally distributed.)     22.You are given.
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  11.Three universities administer the same comprehensive examination to the recipients of MS degrees in psychology. From each institution, a random sample of MS recipients was selected, and these recipients were then given the exam. The following table shows the scores of the students from each university.   University AUniversity BUniversity C 896081 959570 758990 928078 9966 77   At ?.
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    31.Refer to Exhibit 12-5. With a .05 level of significance, the critical value for the test is a.1.645 b.7.815 c.14.067 d.15.507       32.Refer to Exhibit 12-5. The expected number of adults who prefer coffee is a.0.25 b.0.33 c.150 d.200       33.Refer to Exhibit 12-5. The calculated value for this test for independence is a.0 b.8.4 c.62.5 d.82.5       34.Refer to Exhibit 12-5. The result of the test is.
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    36.The specifications for the filling of soft drink bottles is a variance of 0.05 (ounces)2. A sample of 20 bottles of soft drink showed the following results.   12.0312.0111.8912.1512.23 11.9712.1011.8512.3312.02 11.9612.0011.8212.0211.99 11.9611.8311.8412.2112.38   At a 5% level of significance, use Excel to determine whether or not the variance of the population is significantly different from 0.05.     37.The data.
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  46.Halls, Inc. has three stores located in three different areas. Random samples of the sales of the three stores (In $1,000) are shown below.   Store 1Store 2Store 3 463433 473631 453535 4239 45   At a 5% level of significance, use Excel to test to see if there is a significant difference in the average sales of the.
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  6.In a completely randomized experimental design, 7 experimental units were used for the first treatment, 9 experimental units for the second treatment, and 14 experimental units for the third treatment. Part of the ANOVA table for this experiment is shown below.     Source of VariationSum of SquaresDegrees of FreedomMean Square F Between Treatments_____?_____?_____?4.5 Within Treatments (Error)_____?_____?4 Total_____?_____?   a.Fill in all.
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    21.Refer to Exhibit 13-2. The null hypothesis for this ANOVA problem is a.?1=?2=?3=?4 b.?1=?2=?3=?4=?5 c.?1=?2=?3=?4=?5=?6 d.?1=?2= ... =?20       22.Refer to Exhibit 13-2. The mean square between treatments equals a.288 b.518.4 c.1,200 d.8,294.4       23.Refer to Exhibit 13-2. The sum of squares due to error equals a.14.4 b.2,073.6 c.5,760 d.6,000       24.Refer to Exhibit 13-2. The test statistic to test the null hypothesis equals a.0.432 b.1.8 c.4.17 d.28.8       25.Refer to Exhibit 13-2. The.
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  41.Halls, Inc. has three stores located in three different areas. Random samples of the sales of the three stores (In $1,000) are shown below.   Store 1Store 2Store 3 463433 473631 453535 4239 45   At a 5% level of significance, test to see if there is a significant difference in the average sales of the three stores.     42.In a.
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    41.Refer to Exhibit 13-4. The sum of squares within treatments (SSE) is a.1,000 b.600 c.200 d.1,600       42.Refer to Exhibit 13-4. The number of degrees of freedom corresponding to between treatments is a.60 b.59 c.5 d.4       43.Refer to Exhibit 13-4. The number of degrees of freedom corresponding to within treatments is a.60 b.59 c.5 d.4       44.Refer to Exhibit 13-4. The mean square between treatments (MSTR) is a.3.34 b.10.00 c.50.00 d.12.00       45.Refer.
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  PROBLEM   1.Before the presidential debates, it was expected that the percentages of registered voters in favor of various candidates to be as follows.   Percentages Democrats48% Republicans38% Independent4% Undecided10%   After the presidential debates, a random sample of 1200 voters showed that 540 favored the Democratic candidate; 480 were in favor of the Republican candidate; 40 were in favor.
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  24.City planners are evaluating three proposed alternatives for relieving the growing traffic congestion on a north-south highway in a booming city.  The proposed alternatives are:   (1) designate high-occupancy vehicle (HOV) lanes on the existing highway, (2) construct a new, parallel highway, and (3) construct a light (passenger) rail system.   In an.
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    31.Do the following data indicate that the variance of the population from which this sample has been drawn is significantly more than 12? Use ? = 0.05.   161221101318       32.A sample of ten earnings per share estimates is shown below.   2.924.604.203.103.66 7.222.541.452.883.64   Use Excel to estimate the variance with a 95% level of confidence.     33.The time it.
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    41.Refer to Exhibit 12-6. The number of degrees of freedom associated with this problem is a.2 b.3 c.300 d.299       42.The test statistic for goodness of fit has a chi-square distribution with k – 1 degrees of freedom provided that the expected frequencies for all categories are a.5 or more b.10 or more c.k or more d.2k       43.The test for goodness.
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    21.Refer to Exhibit 12-3. The test statistic is a.10.08 b.54.02 c.1.96 d.1.645       22.Refer to Exhibit 12-3. The number of degrees of freedom associated with this problem is a.4 b.149 c.1 d.3       23.Refer to Exhibit 12-3. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals a.3.84 b.7.81 c.5.99 d.9.34       24.Refer to Exhibit 12-3. The null hypothesis a.should.
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  MULTIPLE CHOICE   1.A sample of 28 elements is selected to estimate a 95% confidence interval for the variance of the population. The chi-square values to be used for this interval estimation are a.-1.96 and 1.96 b.14.573 and 43.195 c.16.151 and 40.113 d.15.308 and 44.461       2.We are interested in testing whether the variance of a population is.
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    31.Refer to Exhibit 11-3. The p-value for this test is a.0.05 b.greater than 0.10 c.less than 0.10 d.1.96       32.The sampling distribution of the quantity (n-1)s2/2 is the a.chi-square distribution b.normal distribution c.F distribution d.t distribution       33.The sampling distribution of the ratio of independent sample variances extracted from two normal populations with equal variances is the a.chi-square distribution b.normal distribution c.Z distribution d.t distribution       34.The 95%.
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    31.Refer to Exhibit 13-3. The null hypothesis is to be tested at the 1% level of significance. The critical value from the table is a.4.26 b.8.02 c.16.69 d.99.39       32.Refer to Exhibit 13-3. The null hypothesis a.should be rejected b.should not be rejected c.should be revised d.None of these alternatives is correct.       33.The required condition for using an ANOVA procedure on.
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