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Study Resources (Statistics)

  41.For a standard normal distribution, the probability of z 0 is a.zero b.-0.5 c.0.5 d.one 42.The highest point of a normal curve occurs at a.one standard deviation to the right of the mean b.two standard deviations to the right of the mean c.approximately three standard deviations to the right of the mean d.the mean 43.The random variable x is.
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  61.The following data shows the number of students enrolled in various professors’ statistics classes. ProfessorEnrollment A256 B167 C159 D164 E170 F156 For the above sample, compute the following measures. a.The variance b.The standard deviation c.If we consider professor A’s enrollment as an outlier, compute the variance and the standard deviations, excluding Professor A’s class.  (Round to the nearest hundredth, as needed.) 62.Below.
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  Exhibit 6-1 The assembly time for a product is uniformly distributed between 6 to 10 minutes. 81.Refer to Exhibit 6-1. The standard deviation of assembly time (in minutes) is approximately a.1.3333 b.1.1547 c.0.1111 d.0.5773 Exhibit 6-2 The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. 82.Refer to.
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  71.The numerical value of the variance a.is always larger than the numerical value of the standard deviation b.is always smaller than the numerical value of the standard deviation c.is negative if the mean is negative d.can be larger or smaller than the numerical value of the standard deviation 72.Since the median is the middle value.
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  PROBLEM 1.The closing stock price of Ahmadi, Inc. for a sample of 10 trading days is shown below. DayStock Price 184 287 384 488 585 690 791 883 982 1086 For the above sample, compute the following measures. a.The mean b.The median c.The mode d.The variance e.The standard deviation f.The range 2.The hourly wages of a sample of eight individuals is given below. IndividualHourly Wage (dollars) A27 B25 C20 D10 E12 F14 G17 H19 For the above sample, determine the following.
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  11.Shoppers enter Hamilton Place Mall at an average of 120 per hour. a.What is the probability that exactly 5 shoppers will enter the mall between noon and 12:05 p.m.? b.What is the probability that at least 35 shoppers will enter the mall between 5:00 and 5:10 p.m.? 12.A production process produces 90% non-defective.
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  Exhibit 6-4 f(x) =(1/10) e-x/10     x 0 91.Refer to Exhibit 6-4. The mean of x is a.0.10 b.10 c.100 d.1,000 92.Refer to Exhibit 6-4. The probability that x is between 3 and 6 is a.0.4512 b.0.1920 c.0.2592 d.0.6065 93.Refer to Exhibit 6-4. The probability that x is less than 5 is a.0.6065 b.0.0606 c.0.3935 d.0.9393 Exhibit 6-5 The travel time for a college student traveling between her home.
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  11.The standard deviation is the a.variance squared b.square root of the sum of the deviations from the mean c.same as the expected value d.positive square root of the variance 12.The variance is a measure of dispersion or variability of a random variable. It is a weighted average of the a.square root of the deviations from the.
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  56.The following data show the yearly salaries of a sample of MBA graduates. MBA StudentSalary (in $1,000) A78 B87 C80 D100 E104 F88 G82 H85 a.Compute the mean yearly salary and give your answer in dollars. b.Compute the standard deviation and give your answer in dollars. c.Compute the 75th percentile and give your answer in dollars.  Fully explain what the value that.
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  51.The variance of a sample was reported to be 81.  The report indicated that = 972.  What has been the sample size? 52.The following data show the yearly salaries of a sample of EMBA graduates. EMBA StudentSalary (in $1,000) A88 B97 C90 D110 E114 F98 G92 H95 a.Compute the mean yearly salary and give your answer in dollars. b.Compute the standard deviation.
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  51.The sample variance a.is always smaller than the true value of the population variance b.is always larger than the true value of the population variance c.could be smaller, equal to, or larger than the true value of the population variance d.can never be zero 52.The coefficient of variation is a.the same as the variance b.the standard deviation.
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  21.For the standard normal probability distribution, the area to the left of the mean is a.-0.5 b.0.5 c.any value between 0 to 1 d.1 22.Which of the following is not a characteristic of the normal probability distribution? a.The mean, median, and the mode are equal b.The mean of the distribution can be negative, zero, or positive c.The distribution.
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  41.The following probability distribution represents the number of grievances filed per month with the MNM. Corporation. xf(x) 00.04 10.36 20.50 30.08 40.02 a.Determine the expected value of the number of grievances in a month. b.Determine the variance. c.Compute the standard deviation. 42.The number of bad checks received per day by a store and the respective probabilities are shown below. Number of.
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  41.The key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution a.the probability of success must be less than 0.5 b.the probability of success changes from trial to trial c.the trials are independent of each other d.the random variable is continuous 42.Assume that you have a binomial experiment with p =.
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  Exhibit 6-7 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. 101.Refer to Exhibit 6-7. What is the probability that a randomly selected item will weigh between 11 and 12 ounces? a.0.4772 b.0.4332 c.0.9104 d.0.0440 102.Refer to Exhibit 6-7. What percentage of.
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  31.In a binomial experiment a.the probability does not change from trial to trial b.the probability does change from trial to trial c.the probability could change from trial to trial, depending on the situation under consideration d.None of these alternatives is correct. 32.Assume that you have a binomial experiment with p = 0.5 and a sample.
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  81.The standard deviation of a sample was reported to be 20.  The report indicated that = 7200.  What has been the sample size? a.16 b.17 c.18 d.19 82.The variance of a sample was reported to be 144.  The report indicated that = 7200.  What has been the sample size? a.49 b.50 c.51 d.52 83.From a population of size 1,000, a.
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  PROBLEM 1.Thirty-two percent of the students in a management class are graduate students. A random sample of 5 students is selected. Using the binomial probability function, determine the probability that the sample contains exactly 2 graduate students? 2.Seventy percent of the students applying to a university are accepted. Using the binomial probability.
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  26.The growth rate in thepopulation of Atlanta for the past five years are shown below. YearGrowth Factors 11.0298 21.0270 31.0319 41.0258 51.0304 a.Compute the Geometric mean b.What has been the percentage growth in the population of Atlanta? 27.The growth rates in the population of Dalton for the past three years are shown below. YearGrowth Factors 11.0313 21.0429 31.0343 a.Compute the Geometric mean b.What has been.
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  Exhibit 6-9 The average price of personal computers manufactured by MNM Company is $1,200 with a standard deviation of $220. Furthermore, it is known that the computer prices manufactured by MNM are normally distributed. 111.Refer to Exhibit 6-9.  What is the minimum value of the middle 95% of computer prices? a.$1,768.80 b.$1,295.80 c.$2,400.00 d.$768.80 112.Refer to Exhibit.
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  36.The following data show the yearly salaries of a random sample of Chattanooga residents. ResidentSalary (In $1,000) A97 B48 C69 D85 E92 F48 G79 H74 For the above sample, determine the following measures (Give your answer in dollars): a.The mean yearly salary. b.The standard deviation. c.The mode. d.The median. e.The 70th percentile 37.The following frequency distribution shows the yearly tuition (in $1,000s) of a sample of private.
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  61.Refer to Exhibit 5-7. The probability that Pete will catch fish on one day or less is a..008 b..096 c..104 d..8 62.Refer to Exhibit 5-7. The expected number of days Pete will catch fish is a..6 b..8 c.2.4 d.3 63.Refer to Exhibit 5-7. The variance of the number of days Pete will catch fish is a..16 b..48 c..8 d.2.4 Exhibit 5-8 The random variable x is.
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  61.Z is a standard normal random variable. What is the value of Z if the area to the right of Z is 0.9803? a.-2.06 b.0.4803 c.0.0997 d.3.06 62.For a standard normal distribution, the probability of obtaining a z value between -2.4 to -2.0 is a.0.4000 b.0.0146 c.0.0400 d.0.5000 63.For a standard normal distribution, the probability of obtaining a z value.
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  71.Refer to Exhibit 5-10. The expected number of goals per game is a.0 b.1 c.2, since it has the highest probability d.2.35 72.Refer to Exhibit 5-10. What is the probability that in a given game the Lions will score at least 1 goal? a.0.20 b.0.55 c.1.0 d.0.95 73.Refer to Exhibit 5-10. What is the probability that in a given game.
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  101.Refer to Exhibit 3-3. The range is a.1 b.2 c.10 d.12 102.Refer to Exhibit 3-3. The interquartile range is a.1 b.2 c.10 d.12 Exhibit 3-4 The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway. Speed Miles per Hour Frequency 50 - 54  2 55 - 59  4 60 - 64  5 65 - 6910 70 - 74  9 75 -.
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  11.The probability that a continuous random variable takes any specific value a.is equal to zero b.is at least 0.5 c.depends on the probability density function d.is very close to 1.0 12.A normal distribution with a mean of 0 and a standard deviation of 1 is called a.a probability density function b.an ordinary normal curve c.a standard normal distribution d.none.
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  91.Refer to Exhibit 3-1. The number of students working 19 hours or less a.is 40 b.is 50 c.is 90 d.cannot be determined without the original data 92.Refer to Exhibit 3-1. The relative frequency of students working 9 hours or less a.is .2 b.is .45 c.is 40 d.cannot be determined from the information given 93.Refer to Exhibit 3-1. The cumulative relative.
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  11.When the smallest and largest percentage of items are removed from a data set and the mean is computed, the mean of the remaining data is a.the median b.the mode c.the trimmed mean d.any of the above 12.Since the population is always larger than the sample, the value of the sample mean a.is always smaller than.
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  31.Consider a binomial probability experiment with n = 3 and p = 0.1. Then, the probability of x = 0 is a.0.0000 b.0.0001 c.0.001 d.0.729 32.Larger values of the standard deviation result in a normal curve that is a.shifted to the right b.shifted to the left c.narrower and more peaked d.wider and flatter 33.Which of the following is not a.
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  31.The following data represent the daily demand (y in thousands of units) and the unit price (x in dollars) for a product. Daily Demand (y)Unit Price (x) 47  1 39  3 35  5 44  3 34  6 20  8 1516 30  6 a.Compute and interpret the sample covariance for the above data. b.Compute and interpret the sample correlation coefficient. 32.The following observations are given for two variables. yx 5  2 812 18  3 20  6 2211 3019 1018 7  9 a.Compute and interpret.
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  21.Below you are given the ages of a sample of 10 college students who are enrolled in statistics. 20182022182022171924 a.Compute the mean. b.Compute the variance. c.Compute the standard deviation. d.Compute the coefficient of variation. e.Determine the 25th percentile. f.Determine the median g.Determine the 75th percentile. h.Determine the range. 22.A sample of 9 mothers was taken. The mothers were asked the.
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  41.The Michael Painting Company has purchased paint from several suppliers. The purchase price per gallon and the number of gallons purchased are shown below. SupplierPrice Per Gallon ($)Number of Gallons A23700 B25200 C29100 D27200 Compute the weighted average price per gallon. 42.In the fall semester of 2009, the average Graduate Management Admission Test (GMAT) of the students.
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MULTIPLE CHOICE 1.Which of the following is a characteristic of the normal probability distribution? a.The mean, median, and the mode are not equal b.The distribution is not symmetrical c.The standard deviation must be 0 d.The standard deviation must be 1 2.In a standard normal distribution, the a. mean and the standard deviation are both 1 b. mean is.
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  11.The following is a frequency distribution for the ages of a sample of employees at a local company. AgeFrequency 30 - 392 40 - 493 50 - 597 60 - 695 70 - 791 a.Determine the average age for the sample. b.Compute the variance. c.Compute the standard deviation. d.Compute the coefficient of variation. 12.A local university administers a comprehensive examination to.
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  51.Z is a standard normal random variable. The P (1.41 < Z < 2.85) equals a.0.4978 b.0.4207 c.0.9185 d.0.0771 52.X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. The probability that X is between 1.48 and 15.56 is a.0.0222 b.0.4190 c.0.5222 d.0.9190 53.X is a normally distributed random variable with a.
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  41.When the data are skewed to the right, the measure of Skewness will be a.negative b.zero c.positive d.one 42.When data are positively skewed, the mean will usually be a.greater than the median b.smaller than the median c.equal to the median d.positive 43.Which of the following is not a measure of dispersion? a.the range b.the 50th percentile c.the standard deviation d.the interquartile range 44.The interquartile range.
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  16.A researcher has obtained the number of hours worked per week during the summer for a sample of fifteen students. 40253530204030204010302010              5              20 Using this data set, compute the a.median b.mean c.mode d.40th percentile e.range f.sample variance g.standard deviation 17.A sample of twelve families was taken. Each family was asked how many times per week they dine in restaurants. Their.
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  46.Global Engineers hired the following number of Class 1 engineers during the first six months of the past year.  (Assume the data represent a sample.) No. of Class 1 MonthEngineers Hired January3 February2 March4 April2 May6 June0 a.Determine the mean, the median, the mode, and the range for the above data. b.Compute the variance and the standard deviation. c.Compute the first.
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  51.Refer to Exhibit 5-3. The expected number of new clients per month is a.6 b.0 c.3.05 d.21 52.Refer to Exhibit 5-3. The variance is a.1.431 b.2.047 c.3.05 d.21 53.Refer to Exhibit 5-3. The standard deviation is a.1.431 b.2.047 c.3.05 d.21 Exhibit 5-4 Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected. 54.Refer to Exhibit 5-4. The.
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  61.The symbol ? is used to represent a.the variance of the population b.the standard deviation of the sample c.the standard deviation of the population d.the variance of the sample 62.The symbol ?2 is used to represent a.the variance of the population b.the standard deviation of the sample c.the standard deviation of the population d.the variance of the sample 63.The variance.
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  21.The variance of a sample of 169 observations equals 576. The standard deviation of the sample equals a.13 b.24 c.576 d.28,461 22.The median of a sample will always equal the a.mode b.mean c.50th percentile d.all of the above answers are correct 23.The median is a measure of a.relative dispersion b.absolute dispersion c.central location d.relative location 24.The 50th percentile is the a.mode b.median c.mean d.third quartile 25.The 75th percentile is referred.
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MULTIPLE CHOICE 1.Which of the following is a characteristic of an experiment where the binomial probability distribution is applicable? a.the experiment has at least two possible outcomes b.exactly two outcomes are possible on each trial c.the trials are dependent on each other d.the probabilities of the outcomes changes from one trial 2.A numerical description of the.
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