Deck 19: Statistical Analysis Scenarios and Distributions

Question 1

Suppose that past history shows that 60% of college students prefer coca-cola. A sample of 10,000 students is to be selected. Which of the following distributions would you use to figure out the probability that at least half of them will prefer coca-cola?

A) Poisson distribution
B) normal distribution
C) hypergeometric distribution
D) uniform distribution

Answer 1

B

Question 2

Suppose students arrive at an advising office at a rate of 30 per hour. Which of the following distributions would you use to figure out the probability that the next two students will arrive 30 minutes apart?

A) Poisson distribution
B) exponential distribution
C) uniform distribution
D) hypergeometric distribution

Answer 2

B

Question 3

An economist is interested to see how consumption for an economy (in $ billions) is influenced by gross domestic product ($ billions) and aggregate price (consumer price index). Annual data from 30 years were collected. Which of the following would be the most appropriate analysis to perform?

A) autoregressive modeling for trend fitting and forecasting
B) simple linear regression
C) multiple linear regression
D) logistic regression

Answer 3

C

Question 4

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is over 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Which of the following tests will you perform to help her make a decision?

A) t test for mean
B) pooled-variance t test
C) separate-variance t test
D) Z test for proportion

Question 5

A sample of 100 fuses from a very large shipment is found to have 10 that are defective. Based on this information, which of the following will you construct to learn about the proportion of fuses that are defective?

A) confidence interval estimate for the proportion using the standard normal distribution
B) confidence interval estimate for the total using the Student's t distribution
C) confidence interval estimate for the difference using the standard normal distribution
D) confidence interval estimate for the mean using the Student's t distribution

Question 6

A contractor wants to forecast the number of contracts in future quarters, using quarterly data on number of contracts during the 10-year period from 1997 to 2006. Which of the following would be the most appropriate analysis to perform?

A) Laspeyres price index modeling
B) two-way ANOVA
C) autoregressive modeling
D) least-squares forecasting with monthly or quarterly data

Question 7

A certain type of rare gem serves as a status symbol for many of its owners. In theory, for low prices, the demand increases and it decreases as the price of the gem increases. However, experts hypothesize that when the gem is valued at very high prices, the demand increases with price due to the status owners believe they gain in obtaining the gem. Data on price and quantity sold were collected for a sample of 35 rare gems of this type. Which of the following would be the most appropriate analysis to perform?

A) logistic regression
B) least-squares forecasting with monthly or quarterly data
C) quadratic regression model
D) autoregressive modeling for trend fitting and forecasting

Question 8

Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the 4 procedures, and collects the following numbers of patients from their own records: $$\begin{array}{c}\text { Procedure }\\\begin{array} { c c c c c c } \hline & \text { A } & \text { B } & \text { C } & \text { D } & \text { Total } \\\hline \text { Clear } & 27 & 41 & 21 & 7 & 96 \\\text { Return } & 11 & 15 & 9 & 11 & 46 \\\text { Total } & 38 & 56 & 30 & 18 & 142\end{array}\end{array}$$ Which of the following tests will be the most appropriate to find out which of the 4 procedures is the most effective?

A) one-way ANOVA F test for differences among more than two means
B) the Marascuilo procedure
C) Z test for difference in proportions
D) ?² test for difference in proportions

Question 9

Suppose the probability of finding a bark beetles infested pine tree is the same anywhere over a piece of 100-acre national forest land. Which of the following distributions would you use to figure out the probability of finding a bark beetles infested pine tree in a piece of 10-acre national forest land?

A) hypergeometric distribution
B) uniform distribution
C) Poisson distribution
D) exponential distribution

Question 10

An investor wanted to forecast the price of a certain stock. He collected average daily price for the stock over the past 10 years. Which of the following would be the most appropriate analysis to perform?

A) least-squares forecasting with monthly or quarterly data
B) autoregressive modeling
C) Laspeyres price index modeling
D) the Marascuilo procedure

Question 11

A supplier of silicone sheets for producers of computer chips wants to evaluate her manufacturing process. She takes samples of size 5 from each day's output and counts the number of blemishes on each silicone sheet for 20 days consecutive days. Which of the following would be the most appropriate analysis to perform?

A) randomized block F test for differences among more than two means
B) exponential smoothing
C) construct a c chart
D) autoregressive modeling

Question 12

The director of a training program wanted to know if a one week orientation would change the perception of potential clients who would perceive the program as being good. He collected information on the number of clients who would rate the program as being good before and after the orientation. Which of the following tests will be the most appropriate?

A) Friedman rank test
B) McNemar test
C) ?² test for proportions
D) Wilcoxon rank sum test

Question 13

Suppose that past history shows that 6% of college students prefer Brand A Cola. A sample of 10,000 students is to be selected. Which of the following distributions would you use to figure out the probability that at least half of them will prefer Brand A cola?

A) hypergeometric distribution
B) uniform distribution
C) exponential distribution
D) Poisson distribution

Question 14

It was believed that the probability of a small business that declared bankruptcy per month was the same in any month. Also the number of small businesses that declared bankruptcy was the same every month. Which of the following distributions would you use to figure out the probability that more than 3 bankruptcies will occur next month?

A) exponential distribution
B) hypergeometric distribution
C) Poisson distribution
D) uniform distribution

Question 15

An airline wants to select a computer software package for its reservation system. Four software packages (1, 2, 3, and 4) are commercially available. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks and data on the number of passengers that are bumped over a month are collected. (A total of 20 weeks was included in the experiment.) The variability of the number of passengers that are bumped is found to be roughly the same for the 4 packages. The distribution on the number of passengers that are bumped has been found out to be right-skewed for package 1 and 4, left-skewed for package 2 and normal for package 3. Which of the following tests will be the most appropriate to find out if the average number of passengers being bumped over a month is the same across the 4 packages?

A) paired t test
B) pooled-variance t test
C) Kruskal-Wallis rank test
D) one-way ANOVA F test for differences among more than two means

Question 16

An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily average revenue of $625 and a standard deviation of $70. Which of the following tests will be the most appropriate?

A) separate-variance t test
B) t test for mean
C) Z test for proportion
D) pooled-variance t test

Question 17

Data on the amount of money made in a year by 1000 families in a small town were collected. You want to know the difference in the amount of money made in that year by the middle 50% of the 1000 families. Which of the following would you compute?

A) Interquartile Range
B) median
C) arithmetic mean
D) covariance

Question 18

The probability that a particular brand of smoke alarm will malfunction in the presence of smoke is

A) Poisson distribution
B) hypergeometric distribution
C) uniform distribution
D) exponential distribution

Question 19

It was believed that the probability of being hit by lightning is the same during the course of a thunderstorm. Which of the following distributions would you use to figure out the probability of being hit by a lightning during the first half of a thunderstorm?

A) exponential distribution
B) uniform distribution
C) Poisson distribution
D) hypergeometric distribution

Question 20

Data on the amount of time spent studying and the exam score of 150 students at a high school were collected. You want to know if a student's exam score is linearly related to the amount of time spent on studying. Which of the following would you compute?

A) arithmetic mean
B) covariance
C) median
D) coefficient of variation

Question 21

The director of admissions at a state college is interested in seeing if admissions status (admitted, waiting list, denied admission) at his college is related to the type of community (urban, rural, suburban) in which an applicant resides. Which of the following tests will be the most appropriate?

A) two-way ANOVA F test for interaction effect
B) two-way ANOVA F test for the type of community effect
C) Friedman rank test
D) ?_² test for independence

Question 22

A medical doctor is involved in a $1 million malpractice suit. He can either settle out of court for $250,000 or go to court. If he goes to court and loses, he must pay $825,000 plus $175,000 in court costs. If he wins in court the plaintiffs pay the court costs. Which of the following would be the most appropriate analysis to perform?

A) set up the payoff table
B) perform a two-way ANOVA
C) perform a multiple linear regression
D) compute the coefficient of variation

Question 23

An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants all 3 varieties of the seeds on each of 5 different patches of fields. She then measures the crop yield in bushels per acre. She has found out that the crop yield from the 3 varieties of seeds has very skewed distribution. Which of the following tests will be the most appropriate to find out if the different patches is advantageous in reducing the random error?

A) one-way ANOVA F test for differences among more than two means
B) randomized block F test for block effect
C) Friedman rank test
D) randomized block F test for differences among more than two means

Question 24

A physician and president of a Tampa Health Maintenance Organization (HMO) are attempting to show the benefits of managed health care to an insurance company. The physician believes that certain types of doctors are more cost-effective than others. To investigate this, the president obtained independent random samples of 20 HMO physicians from each of 4 primary specialties - General Practice (GP), Internal Medicine (IM), Pediatrics (PED), and Family Physicians (FP) - and recorded the total charges per member per month for each. A second variable which the president believes influences total charges per member per month is whether the doctor is a foreign or USA medical school graduate. To investigate this, the president also collected data on 20 foreign medical school graduates in each of the 4 primary specialty types described above. So information on charges for 40 doctors (20 foreign and 20 USA medical school graduates) was obtained for each of the 4 specialties. The president has already found out that specialty types and origin of the medical degree do not interact to affect the charges. Which of the following tests will be the most appropriate to find out if the primary specialty affects the charges?

A) two-way ANOVA F test for primary specialty effect
B) two-way ANOVA F test for origin of the medical degree effect
C) Tukey-Kramer multiple comparisons procedure for one-way ANOVA
D) one-way ANOVA F test for differences among more than two means

Question 25

A physician and president of a Tampa Health Maintenance Organization (HMO) are attempting to show the benefits of managed health care to an insurance company. The physician believes that certain types of doctors are more cost-effective than others. To investigate this, the president obtained independent random samples of 20 HMO physicians from each of 4 primary specialties - General Practice (GP), Internal Medicine (IM), Pediatrics (PED), and Family Physicians (FP) - and recorded the total charges per member per month for each. A second variable which the president believes influences total charges per member per month is whether the doctor is a foreign or USA medical school graduate. To investigate this, the president also collected data on 20 foreign medical school graduates in each of the 4 primary specialty types described above. So information on charges for 40 doctors (20 foreign and 20 USA medical school graduates) was obtained for each of the 4 specialties. Which of the following tests will be the most appropriate to find out if the primary specialty and the origin of medical school degree interact to affect the charges?

A) one-way ANOVA F test for differences among more than two means
B) one-way ANOVA F test for interaction effect
C) two-way ANOVA F test for interaction effect
D) Tukey-Kramer multiple comparisons procedure for one-way ANOVA

Question 26

A buyer for a manufacturing plant suspects that his primary supplier of raw materials is overcharging. In order to determine if his suspicion is correct, he contacts a second supplier and asks for the prices on various identical materials. He wants to compare these prices with those of his primary supplier. He collected data on 6 different materials from both suppliers. He believes that the differences are normally distributed. Which of the following tests will be the most appropriate?

A) Wilcoxon signed rank test
B) Wilcoxon rank sum test
C) pooled-variance t test
D) paired t test

Question 27

A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. A group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the United States. Of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. Which of the following tests will you use to find out if there is any difference in attitudes about sexual discrimination?

A) pooled-variance t test
B) Z test for difference in proportions
C) Wilcoxon rank sum test
D) paired t test

Question 28

A manager of a product sales group believes the number of sales made by an employee depends on how many years that employee has been with the company and how he/she scored on a business aptitude test. A random sample of 38 employees was selected to collect data on their number of sales, number of years with the company and scores on a business aptitude test. Which of the following would you perform to draw conclusion on the belief?

A) multiple linear regression
B) randomized block design
C) two-way ANOVA
D) one-way ANOVA

Question 29

An Undergraduate Study Committee of 6 members at a major university is to be formed from a pool of faculty of 18 men and 6 women. Which of the following distributions would you use to figure out the probability that half of the members will be women?

A) Poisson distribution
B) uniform distribution
C) exponential distribution
D) hypergeometric distribution

Question 30

A physician and president of a Tampa Health Maintenance Organization (HMO) are attempting to show the benefits of managed health care to an insurance company. The physician believes that certain types of doctors are more cost-effective than others. To investigate this, the president obtained independent random samples of 20 HMO physicians from each of 4 primary specialties - General Practice (GP), Internal Medicine (IM), Pediatrics (PED), and Family Physicians (FP) - and recorded the total charges per member per month for each. A second variable which the president believes influences total charges per member per month is whether the doctor is a foreign or USA medical school graduate. To investigate this, the president also collected data on 20 foreign medical school graduates in each of the 4 primary specialty types described above. So information on charges for 40 doctors (20 foreign and 20 USA medical school graduates) was obtained for each of the 4 specialties. The president has already found out that specialty types and origin of the medical degree do not interact to affect the charges. He has also found out special types do have an impact on average charges. Which of the following tests will be the most appropriate to find out which primary specialty has the highest charges?

A) Tukey-Kramer multiple comparisons procedure for one-way ANOVA
B) Tukey multiple comparisons procedure for two-way ANOVA
C) two-way ANOVA F test for origin of the medical degree effect
D) two-way ANOVA F test for primary specialty effect

Question 31

A quality control engineer is in charge of the manufacture of computer disks. Two different processes can be used to manufacture the disks. He suspects that the Kohler method produces a greater proportion of defects than the Russell method. He samples 150 of the Kohler and 200 of the Russell disks and finds that 27 and 18 of them, respectively, are defective. If Kohler is designated as "Group 1" and Russell is designated as "Group 2," which of the following tests will you use to find out if the Kohler method is worse than the Russell method?

A) paired t test
B) Friedman rank test
C) Z test for difference in proportions
D) ç² test for difference in proportions

Question 32

A researcher randomly sampled 30 graduates, 18 males and 12 females, of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. Statistics of the mean salaries of the females and males in the sample were computed. The sample standard deviations suggest that the variability of starting salaries of the two groups is almost the same. Suppose the starting salaries from both groups can be considered as normally distributed. Which of the following tests will be the most appropriate?

A) Wilcoxon signed rank test
B) separate-variance t test
C) pooled-variance t test
D) paired t test

Question 33

Data on the amount of time spent studying for a particular exam at a high school were collected for 150 students. You want to know half of the students spent at least how much time studying for that exam. Which of the following would you compute?

A) coefficient of variation
B) arithmetic mean
C) covariance
D) median

Question 34

Data on the amount of money made in a year by 1000 families in a small town were collected. You want to know how much each family will get if the money made by all the 1000 families is pooled together and then evenly redistributed back to them. Which of the following would you compute?

A) covariance
B) Interquartile Range
C) arithmetic mean
D) median

Question 35

Data on the amount of money made in a year by 1000 families in a small town were collected. You want to know if the money made is normally distributed. Which of the following would you use?

A) time-series plot
B) bar chart
C) scatter plot
D) box-and-whisker plot

Question 36

An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants all 3 varieties of the seeds on each of 5 different patches of fields. She then measures the crop yield in bushels per acre. Which of the following tests will be the most appropriate to find out if the different patches is advantageous in reducing the random error?

A) two-way ANOVA F test for the variety effect
B) randomized block F test for differences among more than two means
C) randomized block F test for block effect
D) one-way ANOVA F test for differences among more than two means

Question 37

An insurance company evaluates many variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of 15 insured drivers and recorded the amount of claims each made in the last 3 years. Based on this information, which of the following will you construct to learn about the average amount of claims made by the company's customer?

A) confidence interval estimate for the proportion using the standard normal distribution
B) confidence interval estimate for the difference using the standard normal distribution
C) confidence interval estimate for the mean using the Student's t distribution
D) confidence interval estimate for the mean using the standard normal distribution

Question 38

An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants all 3 varieties of the seeds on each of 5 different patches of fields. She then measures the crop yield in bushels per acre. She has found out that the different varieties do have an impact on crop yield. Which of the following tests will be the most appropriate to find out which variety will produce the highest yield?

A) one-way ANOVA F test for differences among more than two means
B) randomized block F test for differences among more than two means
C) Tukey multiple comparisons procedure for randomized block designs
D) Tukey-Kramer multiple comparisons procedure for one-way ANOVA

Question 39

A Paso Robles wine producer wanted to forecast the cases of merlot wine sold. The number of cases of merlot wine sold in a 28-year period was collected. Which of the following would be the most appropriate analysis to perform?

A) least-squares forecasting with monthly or quarterly data
B) Laspeyres price index modeling
C) the Marascuilo procedure
D) exponential smoothing modeling

Question 40

A Paso Robles wine producer wanted to forecast the cases of merlot wine sold. The number of cases of merlot wine sold in a 28-year period was collected. Which of the following would be the most appropriate analysis to perform?

A) the Marascuilo procedure
B) moving averages modeling
C) Laspeyres price index modeling
D) least-squares forecasting with monthly or quarterly data

Question 41

A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches. To test this claim, a random sample of 100 doctors results in 83 who indicate that they recommend aspirin. Which of the following tests will you perform?

A) t test for mean
B) pooled-variance t test
C) Z test for proportion
D) separate-variance t test

Question 42

Suppose the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes. Which of the following distributions would you use to figure out the probability that a defective light bulb will be produced in a 15 minutes interval?

A) exponential distribution
B) uniform distribution
C) hypergeometric distribution
D) Poisson distribution

Question 43

Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much of this money is put into a fund called an endowment, and the college spends only the interest earned by the fund. A recent survey of 8 private colleges in the United States collected information on the endowment amount. Based on this information, which of the following will you construct to learn about the mean endowment of all private colleges in the United States?

A) confidence interval estimate for the total using the Student's t distribution
B) confidence interval estimate for the difference using the standard normal distribution
C) confidence interval estimate for the proportion using the standard normal distribution
D) confidence interval estimate for the mean using the Student's t distribution

Question 44

The probability of receiving a 911 call on a university campus is the same every day. The probability of having received a 911 call on a single day does not change the probability of receiving a 911 call on any other day. Which of the following distributions would you use to figure out the probability that a 911 call will be received next day?

A) Poisson distribution
B) exponential distribution
C) normal distribution
D) binomial distribution

Question 45

Every spring semester, the School of Business coordinates with local business leaders a luncheon for graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of the seniors, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. Data on the number of guests each graduating senior invited to the luncheon from 500 graduating seniors last year were collected. Based on this information, which of the following will you construct to learn about the percentage of senior who will bring at least one guest to a luncheon?

A) confidence interval estimate for the proportion using the standard normal distribution
B) confidence interval estimate for the difference using the standard normal distribution
C) confidence interval estimate for the total using the Student's t distribution
D) confidence interval estimate for the mean using the Student's t distribution

Question 46

To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. There is evidence that the before and after exam scores are not normally distributed. Which of the following tests will be the most appropriate?

A) pooled-variance t test
B) Wilcoxon signed rank test
C) Wilcoxon rank sum test
D) paired t test

Question 47

Every spring semester, the School of Business coordinates with local business leaders a luncheon for graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of the seniors, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. Data on the number of guests each graduating senior invited to the luncheon and the number of graduating seniors in each category were collected. You want to know what the most popular number of guests brought by the graduating seniors is. Which of the following will you compute?

A) median
B) mode
C) Interquartile Range
D) arithmetic mean

Question 48

Suppose the probability of a power outage at a nuclear power plant on a single day is the same every day of the year. Also the probability of having a power outage on a single day does not increase or decrease the probability of a power outage on another day. Which of the following distributions would you use to figure out the probability that a power outage will occur next Monday?

A) binomial distribution
B) normal distribution
C) Poisson distribution
D) exponential distribution

Question 49

The weight of a randomly selected cookie from a production line can most likely be modeled by which of the following distributions?

A) normal distribution
B) exponential distribution
C) hypergeometric distribution
D) Poisson distribution

Question 50

The superintendent of a school district wanted to predict the percentage of students passing a sixth-grade proficiency test. She obtained the data on percentage of students passing the proficiency test (% Passing), daily average of the percentage of students attending class (% Attendance), average teacher salary in dollars (Salaries), and instructional spending per pupil in dollars (Spending) of 47 schools in the state. She believed that holding everything else constant, instructional spending per pupil had a positive but decreasing impact on percentage. Which of the following would be the most appropriate analysis to perform?

A) logistic regression
B) autoregressive modeling
C) simple linear regression with log transformation
D) least-squares forecasting with monthly or quarterly data

Question 51

Suppose the light bulbs in a factory burn out at a rate of 50 bulbs per month. Which of the following distributions would you use to figure out the probability that the next two light bulbs will burn out 2 days apart?

A) uniform distribution
B) hypergeometric distribution
C) exponential distribution
D) Poisson distribution

Question 52

The use of preservatives by food processors has become a controversial issue. Suppose 2 preservatives are extensively tested and determined safe for use in meats. A processor wants to compare the preservatives for their effects on retarding spoilage. They will choose to use the preservative that can keep the meat fresh for the longest amount of time. Suppose 15 cuts of fresh meat are treated with preservative I and 15 are treated with preservative II, and the number of hours until spoilage begins is recorded for each of the 30 cuts of meat. Suppose the variability of the number of hours until spoilage is the same for meat treated by both preservatives but the normal probability plots reveal that the number of hours until spoilage is right-skewed for the 15 cuts treated by preservative I and left-skewed for the 15 cuts treated with preservative II. Which of the following tests will be the most appropriate?

A) pooled-variance t test
B) Wilcoxon signed rank test
C) Wilcoxon rank sum test
D) paired t test

Question 53

A political pollster randomly selects a sample of 100 voters each day for 8 successive days and asks how many will vote for the incumbent. The pollster wishes to see if the percentage favoring the incumbent candidate is too erratic. Which of the following would be the most appropriate analysis to perform?

A) logistic regression
B) perform a Levene's test
C) set up the payoff table
D) construct a p-chart

Question 54

A buyer for a manufacturing plant suspects that his primary supplier of raw materials is overcharging. In order to determine if his suspicion is correct, he contacts a second supplier and asks for the prices on various identical materials. He wants to compare these prices with those of his primary supplier. He collected data on 6 different materials from both suppliers. He suspects that the differences are not normally distributed. Which of the following tests will be the most appropriate?

A) paired t test
B) Wilcoxon rank sum test
C) pooled-variance t test
D) Wilcoxon signed rank test

Question 55

An airline wants to select a computer software package for its reservation system. Four software packages (1, 2, 3, and 4) are commercially available. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks and data on the number of passengers that are bumped over a month are collected. (A total of 20 weeks was included in the experiment.) The variance on the number of passengers that are bumped is found to be roughly the same for the 4 packages. Which of the following tests will be the most appropriate to find out if the average number of passengers being bumped over a month is the same across the 4 packages?

A) pooled-variance t test
B) paired t test
C) one-way ANOVA F test for differences among more than two means
D) two-way ANOVA F test for interaction effect

Question 56

Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the 4 procedures, and collects the following numbers of patients from their own records: $$\begin{array}{c}\text { Procedure }\\\begin{array} { l l l l l l } \hline & \text { A } & \text { B } & \text { C } & \text { D } & \text { Total } \\\hline \text { Clear } & 27 & 41 & 21 & 7 & 96 \\\text { Return } & 11 & 15 & 9 & 11 & 46 \\\text { Total } & 38 & 56 & 30 & 18 & 142 \\\hline\end{array}\end{array}$$ Which of the following tests will be the most appropriate to find out whether the 4 procedures are equally effective?

A) randomized block F test for differences among more than two means
B) ?² test for difference in proportions
C) Z test for difference in proportions
D) one-way ANOVA F test for differences among more than two means

Question 57

The return of two different stocks has the following distribution depending on the market conditions. To decide on which is the best investment for an investor who prefers the highest average return bu the lowest risk, which of the following would be the most appropriate analysis to perform?
$$\begin{array} { c c c l } \hline \text { Market Condition } & \text { Probability } & \text { Return of StockA } & \text { Return of Stock B } \\\hline \text { Bull } & 0.4 & \$ 200 & - \$ 200 \\\text { Stable } & 0.3 & \$ 100 & \$ 150 \\\text { Bear } & 0.3 & - \$ 100 & \$ 400 \\\hline\end{array}$$

A) compute the coefficient of variation
B) perform a two-way ANOVA
C) perform a multiple linear regression
D) set up the payoff table

Question 58

The probability that a particular brand of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8. A batch of 100,000 such alarms was produced by independent production lines. Which of the following distributions would you use to figure out the probability that at least 90,000 of them will function properly in case of a fire?

A) normal distribution
B) Poisson distribution
C) uniform distribution
D) hypergeometric distribution

Question 59

To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. Suppose the before and after exam scores are both normally distributed. Which of the following tests will be the most appropriate?

A) pooled-variance t test
B) Wilcoxon signed rank test
C) paired t test
D) Wilcoxon rank sum test

Question 60

A debate team of 4 members for a high school will be chosen randomly from a potential group of 15 students. Ten of the 15 students have no prior competition experience while the others have some degree of experience. Which of the following distributions would you use to figure out the probability that none of the members chosen for the team have any competition experience?

A) Poisson distribution
B) exponential distribution
C) uniform distribution
D) hypergeometric distribution

Question 61

A realtor wants to compare the variability of sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, andD) Four properties are randomly selected from each neighborhood and the ratios recorded for each were collected. Which of the following tests will be the most appropriate?

A) Levene's test
B) ?² test for variances
C) Wilcoxon rank sum test
D) Tukey-Kramer multiple comparisons procedure for one-way ANOVA

Question 62

Are Japanese managers more motivated than American managers? A randomly selected group of 100 managers from each group were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures motivation for upward mobility. The average and standard deviation of the SSATL scores are computed. The standard deviations of the SSATL scores suggest that the standard deviation from the two groups is very different. Which of the following tests will be the most appropriate?

A) pooled-variance t test
B) Z test for proportion
C) separate-variance t test
D) t test for mean

Question 63

An airline wants to select a computer software package for its reservation system. Four software packages (1, 2, 3, and 4) are commercially available. The airline will choose the package that bumps as few passengers, on the average, as possible during a month. An experiment is set up in which each package is used to make reservations for 5 randomly selected weeks. (A total of 20 weeks was included in the experiment.) Which of the following tests will be the most appropriate?

A) Wilcoxon signed rank test
B) Tukey-Kramer multiple comparisons procedure for one-way ANOVA
C) paired t test
D) Wilcoxon rank sum test

Question 64

A major videocassette rental chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with videocassette recorders (VCRs). It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have VCRs. Which of the following tests will be the most appropriate?

A) t test for mean
B) separate-variance t test
C) Z test for proportion
D) pooled-variance t test

Question 65

Every spring semester, the School of Business coordinates with local business leaders a luncheon for graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of the seniors, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. Data on the number of guests each graduating senior invited to the luncheon and the number of graduating seniors in each category were collected. A histogram can be used to present this information.

Question 66

The opinions (classified as "for," "neutral" or "against") of a sample of 200 people broken down by gender about the latest congressional plan to eliminate anti-trust exemptions for professional baseball. You can present this information using a scatter plot.

Question 67

A professor of economics at a small Texas university wanted to determine what year in school students were taking his tough economics course. Data were collected on the class status ("freshman," "sophomore," "junior" or "senior") of 50 students enrolled in one of his economics course. A side-by-side bar chart can be used to present this information.

Question 68

A certain type of new business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). Which of the following distributions would you use to figure out the probability that all of them will fail?

A) binomial distribution
B) uniform distribution
C) Poisson distribution
D) normal distribution

Question 69

A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). An ogive can be used to present this information.

Question 70

A few years ago, Pepsi invited consumers to take the "Pepsi Challenge." Consumers were asked to decide which of two sodas, Coke or Pepsi, they preferred in a blind taste test. Pepsi was interested in determining what factors played a role in people's taste preferences. One of the factors studied was the gender of the consumer. Data on the percentage of men and women depicting preference for Pepsi were collected. Which of the following tests will you use to find out if there is any difference in preference between the different gender groups?

A) paired t test
B) ç2 test for variance
C) Wilcoxon rank sum test
D) Z test for difference in proportions

Question 71

Suppose that past history shows that 60% of college students prefer coca-cola. A sample of 10 students is to be selected. Which of the following distributions would you use to figure out the probability that at least half of them will prefer coca-cola?

A) normal distribution
B) uniform distribution
C) Poisson distribution
D) binomial distribution

Question 72

Suppose the probability of a car accident taking place anywhere on a stretch of a 20- mile highway is the same. Which of the following distributions would you use to figure out the probability that a car accident will occur somewhere between the 5-mile and 15-mile posts of the highway?

A) hypergeometric distribution
B) uniform distribution
C) Poisson distribution
D) exponential distribution

Question 73

You have 5 stocks in your investment portfolio. You want to keep track of your portfolio's performance over the last 2 years. You have data on each of the stock's average price and the number of shares of each stock for every day of the last 2 years. Which of the following would be the most appropriate analysis to perform?

A) logistic regression
B) Laspeyres price index modeling
C) least-squares forecasting with monthly or quarterly data
D) the Marascuilo procedure

Question 74

The quality control manager of Marilyn's Cookies is inspecting a batch of chocolate chip cookies. When the production process is in control, the average number of chocolate chip parts per cookie is 1.. Suppose that the probability of a chocolate chip parts in a cookie is constant across cookies and the number of chocolate chip parts in one cookie is independent of the number in any other cookie. Which of the following distributions would you use to figure out the probability that any particular cookie being inspected has 4.0 chip parts?

A) Poisson distribution
B) hypergeometric distribution
C) uniform distribution
D) exponential distribution

Question 75

The probability that a particular brand of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8. You have 5 such alarms in your home and they operate independently. Which of the following distributions would you use to figure out the probability that all of them will function properly in case of a fire?

A) Poisson distribution
B) uniform distribution
C) binomial distribution
D) normal distribution

Question 76

The amount of juice that can be squeezed from a randomly selected orange out a box of oranges with approximately the same size can most likely be modeled by which of the following distributions?

A) exponential distribution
B) normal distribution
C) hypergeometric distribution
D) Poisson distribution

Question 77

From an inventory of 48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed. Which of the following distributions would you use to figure out the probability that out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios?

A) exponential distribution
B) uniform distribution
C) Poisson distribution
D) hypergeometric distribution

Question 78

An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants all 3 varieties of the seeds on each of 5 different patches of fields. She then measures the crop yield in bushels per acre. Which of the following tests will be the most appropriate to find out if there is any difference in crop yield among the 3 varieties?

A) randomized block F test for differences among more than two means
B) paired t tes
C) one-way ANOVA F test for differences among more than two means
D) two-way ANOVA F test for the variety effect

Question 79

An insurance company evaluates many variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of 100 insured drivers and recorded, X, the amount of claims each made in the last 3 years. A Pareto chart can be used to present this information.

Question 80

At a meeting of information systems officers for regional offices of a national company, a survey was taken to determine the number of employees the officers supervise in the operation of their departments, where X is the number of employees overseen by each information systems officer. A stem-and-leaf display can be used to present this information.