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1. What is the purpose of...

1. What is the purpose of sampling? (Exam 250713)

A. To estimate a target parameter of the population

B. To verify that the population is approximately normally distributed

C. To achieve a more accurate result than can be achieved by surveying the entire population

D. To create a point estimator of the population mean or proportion

2. For 1996, the U.S. Department of Agriculture estimated that American consumers would have eaten, on average, 2.6 pounds of cottage cheese throughout the course of that year. Based on a longitudinal study of 98 randomly selected people conducted during 1996, the National Center for Cottage Cheese Studies found an average cottage cheese consumption of 2.75 pounds and a standard deviation of s = 14 ounces. Given this information, which of the following statements would be correct concerning a two-tail test at the 0.05 level of significance?

A. We can conclude that the average cottage cheese consumption in America is at least 0.705 pound more or less than 2.75 pounds per person per year.

B. We can conclude that the average cottage cheese consumption in America is actually 2.75 pounds per person per year.

C. We can conclude that the average cottage cheese consumption in America isn't 2.6 pounds per person per year.

D. We can conclude that we can't reject the claim that the average cottage cheese consumption in America is 2.6 pounds per person per year.

3. If the level of significance (a) is 0.005 in a two-tail test, how large is the nonrejection region under the curve of the t distribution?

A. 0.995

B. 0.005

C. 0.050

D. 0.9975

4. H^ is p = 0.45 and H, is p ^ 0.45. What type of test will be performed?

A. Two-tail testing of a proportion

B. One-tail testing of a proportion

C. Two-tail testing of a mean

D. One-tail testing of a mean

5. A federal auditor for nationally chartered banks, from a random sample of 100 accounts, found that the

average demand deposit balance at the First National Bank of Arkansas was $549.82. If the auditor needed a point estimate for the population mean for all accounts at this bank, what should he use?

A. The average of $549.82 for this sample

B. The auditor should survey the total of all accounts and determine the mean.

C. There's no acceptable value available.

D. The average of $54.98 for this sample

6. In a criminal trial, a Type II error is made when a/an

A. guilty defendant is acquitted.

B. guilty defendant is convicted.

C. innocent person is convicted.

D. innocent person is acquitted.

7. To schedule appointments better, the office manager for an ophthalmologist wants to estimate the average time that the doctor spends with each patient. A random sample of 49 is taken, and the sample mean is 20.3 minutes. Assume that the office manager knows from past experience that the standard deviation is 14 minutes. She finds that a 95% confidence interval is between 18.3 and 22.3 minutes. What is the point estimate of the population mean, and what is the confidence coefficient?

A. 20.3, 95%

B. 20.3, 0.95

C. 18.3,0.95

D. 18.3, 95%

8. A human resources manager wants to determine a confidence interval estimate for the mean test score for the next office-skills test to be given to a group of job applicants. In the past, the test scores have been normally distributed with a mean of 74.2 and a standard deviation of 30.9. Determine a 95% confidence interval estimate if there are 30 applicants in the group.

A. 13.64 to 134.76

B. 63.14 to 85.26

C. 68.72 to 79.68

D. 64.92 to 83.48

9. A woman and her son are debating about the average length of a preacher's sermons on Sunday morning. Despite the mother's arguments, the son thinks that the sermons are more than twenty minutes. For one year, he has randomly selected 12 Sundays and found an average time of 26.42 minutes with a standard deviation of 6.69 minutes. Assuming that the population is normally distributed and using a 0.05 level of significance, he wishes to determine whether he is correct in thinking that the average length of sermons is more than 20 minutes. What is the test statistic?

A. 6.69

B. -3.32

C.3.32 D. 0.95

10. When the confidence coefficient is large, which of the following is true? A. The confidence interval is narrow.

B. Its value is close to 1.0, but not larger than 1.0.

C. It's more likely that the test will lead you to reject the null hypothesis.

D. Its value is 1.0 or larger.

11. Determine which of the following four population size and sample size combinations would not require the use of the finite population correction factor in calculating the standard error.

A. N= 15,000; n= 1,000

B. N= 1500; n = 300 C.N=2500;« = 75 D.N=150;« = 25

12. What sample size is required from a very large population to estimate a population proportion within 0.05 with 95% confidence? Don't assume any particular value for p.

A. 385

B.38

C.767 D.271

13. Determine the power for the following test of hypothesis.

H0:/u = 950 vs. Hj./u^ 950, given that ju = 1,000, a = 0.10, a = 200, and n = 25.

A. 0.6535

B. 0.3465

C. 0.5062

D. 0.4938

14. If a teacher wants to test her belief that more than five students in college classes typically receive A as a grade, she'll perform -tail testing of a .

A. two, proportion

B. one, mean

C. one, proportion

D. two, mean

15. The power of a test is the probability of making a/an

decision when the null hypothesis is

A. correct, false

B. incorrect, true

C. incorrect, false

D. correct, true

16. In a simple random sample from a population of several hundred that's approximately normally distributed, the following data values were collected.

68, 79, 70, 98, 74, 79, 50, 102, 92, 96

Based on this information, the confidence level would be 90% that the population mean is somewhere between

A. 71.36 and 90.24.

B. 73.36 and 88.24.

C. 65.33 and 95.33.

D. 69.15 and 92.45.

17. Consider a null hypothesis stating that the population mean is equal to 52, with the research hypothesis that the population mean is not equal to 52. Assume we have collected 38 sample data from which we computed a sample mean of 53.67 and a sample standard deviation of 3.84. Further assume the sample data appear approximately normal. What is the test statistic?

A. 2.68

B. 2.64

C. -2.64

D. -2.68

18. A portfolio manager was analyzing the price-earnings ratio for this year's performance. His boss said that the average price-earnings ratio was 20 for the many stocks that his firm had traded, but the portfolio manager felt that the figure was too high. He randomly selected a sample of 50 price-earnings ratios and found a mean of 18.17 and a standard deviation of 4.60. Assume that the population is normally distributed, and test at the 0.01 level of significance. Which of the following is the correct decision rule for the manager to use in this situation?

A. Because 2.81 is greater than 2.33, reject H„. At the 0.01 level, the sample data suggest that the average price-earnings ratio for the stocks is less than 20.

B. Because -2.81 falls in the rejection region, reject HQ. At the 0.01 level, the sample data suggest that the average price- earnings ratio for the stocks is less than 20.

C. If z > 2.33, reject HQ.

D. If t > 2.68 or if t < -2.68, reject HQ.

19. Because of the popularity of movies as an entertainment medium for adolescents, an entrepreneur plans to do a national study of the average cost of a movie ticket. If you assume that s = $0.50, what sample size would the entrepreneur have to take to be 95% confident that the estimate was within $0.25 of the true mean ticket prices?

A. 4

B. 16

C. 15 D.8

20. A random sample of 10 employees is selected from a large firm. For the 10 employees, the number of days each was absent during the past month was found to be 0, 2, 4, 2, 5, 1, 7, 3, 2, and 4. Of the following values, which would you use as the point estimate for the average number of days absent for all the firm's employees?

A. 30

B.3

C.4

D.2 5

Exam 250714

1. In testing for the equality of two population variances, when the populations are normally distributed, the 10% level of significance has been used. To determine the rejection region, it will be necessary to refer to the F table corresponding to an upper-tail area of

A. 0.10.

B. 0.90.

C. 0.20.

D. 0.05.

2. In testing a population variance or constructing a confidence interval for the population variance, an essential assumption is that

A. expected frequencies equal or exceed 5.

B. the population is normally distributed.

C. sample size exceeds 30.

D. the population is uniformly distributed.

3. A left-tail area in the chi-square distribution equals 0.95. For df= 10, the table value equals

A. 15.987.

B. 3.940.

C. 20.483.

D. 18.307.

4. Another name for the residual term in a regression equation is

A. residual analysis.

B. homoscedasticity.

C. random error.

D. pooled variances.

5. A balanced experiment requires that

A. at least two treatment groups be used.

B. the number of treatments equals the number of samples.

C. an equal number of persons or test units receives each treatment.

D. at least one sample equal size is 30.

6. In testing the difference between two population means using two independent samples, we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference

x, — x, if the

A. sizes are both greater than 30.

B. populations are nonnormal with unequal variances.

C. ample sizes are both large.

D. populations are at least normally distributed with equal variances.

7. In testing the difference between two population means using two independent samples, the sampling distribution of the sample mean difference x". - x\ is normal if the

A. populations are nonnormal and the sample sizes are large.

B. sizes are both greater than 30.

C. population sizes are both greater than 30.

D. populations are normal.

8. A random sample of males and females involved in rear-end accidents results in the following Minitab summary:

N

MEAN

MEDIAN

TRMEAN

STDEV

SEMEAN

FEMALES

33

23.91

20.00

23.38

9.77

1.70

MALES

38

28.87

28.50

28.44

9.67

1.57

What is the value of the test statistic (Z score)? A. 2.32 B.-2.14

C. 1.64

D. -4.96

9. A regression analysis between sales (in $1000) and advertising (in $) resulted in the following least

squares line: y~ = 80,000 + 5x. This implies that an increase of in advertising is expected to result

in an increase of in sales.

A. $1, $5,000

B. $1, $5

C. $1, $80,005

D. $5, $5,000

10. In using the ANOVA models, the assumptions made about the data are

A. all 3 assumptions made here about the data.

B. the samples are independent.

C. the population variances are equal.

D. the population distributions are normal.

11. Consider the following data values of variables x and y.

X

4 5

2|6p|3

3765

Find the least squares regression line.

A. 21.206+ 1.073*

B. -1.045 + 0.932x

C. 1.659 + 0.93 2x

D. 1.122+ 1.073*

12. The object on which the response and factors are observed is called

A. experimental unit.

B. treatments.

C. factor level.

D. factors.

13. Lily Energy Systems manufacturer's wood-burning heaters and fireplace inserts. One of its systems has an electric blower, which is thermostatically controlled. The blower is designed to automatically turn on when the temperature in the stove reaches 125°F and turn off at 85°F. Complaints from customers indicate that the thermostat control is not working properly. The company feels that the thermostat is acceptable if the variance in the cutoff temperature is less than or equal to 175. The company takes a sample of 24 thermostats and finds that the variance equals 289. The calculated chi-square test statistic and the table value for a 0.05 significance level are

A. 37.983, 38.076.

B. 35.172, 38.99.

C. 38.076, 38.99.

D. 37.983, 35.172

14. An indication of no linear relationship between two variables would be a coefficient of

A. correlation equal to -1.

B. determination equal to -1.

C. determination equal to 1.

D. correlation of 0.

15. Given the significance level 0.05, the F-value for the degrees of freedom, df= (3,7) is

A. 6.16.

B. 4.35.

C. 8.89. D.4.12.

16. In a hypothesis test for the population variance, the alternate hypothesis is the population variance does not equal 17.0. The significance level to be used is 0.05 and the sample size to be taken is 25. The table value(s) to use from the chi-square distribution is/are

A. 40.647.

B. 13.120 and 40.647.

C. 39.364.

D. 12.401 and 39.364.

17. A "best-fit" mathematical equation for the values of two variables, x and y, is called

A. correlation analysis.

B. scatter diagram.

C. regression analysis.

D. errors of prediction.

18. Which of the following statements are true regarding the simple linear regression model y. = /L + /?,x. +

e.?

i

A. £. is a nonrandom error.

i

B. p0 is the slope of the regression line.

C. p, is the j-intercept of the regression line.

D. yt is a value of the dependent variable (y) and xi is a value of the independent variable (x).

19. With larger and larger numbers of categories in chi-square tests, the chi-square distribution takes on the shape of the distribution.

A.t-

B. Poisson

C. binomial

D. normal

20. Given the significance level 0.025, the F-value for the degrees of freedom, df= (7,3) is

A. 8.45.

B. 27.67.

C. 5.89.

D. 14.62.

1. If there are an odd number of data values in a set, the median will be the (exam250711)

A. value that appears the greatest number of times.

B. average of all of the values divided by the number of values in the set.

C. value that appears in the center.

D. average of the two end values.

2. Consider the following distribution:

Which of the following would you expect?

A. The mean is greater than the median, and the median is greater than the mode.

B. There's no difference in the values of the mean, median, and mode.

C. The mean is greater than the mode, which in turn is greater than the median.

D. The mean is less than the median, and the median is less than the mode.

3. To answer the question, refer to the following data.

Ten students were sampled at random from a student population. Each was asked how many courses he or she was planning on studying in the upcoming year. The following is a list of the reported data values: 1, 2,

2, 3, 4, 5, 5, 5, 5, 6

What is the variance for the data values?

A. 1.687

B. 2.56

C. 1.6

D. 2.844

4. Use the following data sample to answer the question.

4, 14, 6, 9, 21, 3, 7, 10

What is the median of this data sample?

A. 9.25

B. 8

C. There's no median value. D.7

5. Which of the following statements about interpreting standard deviation is true?

A. The Empirical Rule can't be applied unless the frequency distribution is mound-shaped and symmetric. Chebyshev's Rule can be applied to any data set, regardless of the shape of its frequency distribution.

B. Chebyshev's Rule can't be applied unless the frequency distribution is mound-shaped and symmetric. The Empirical Rule can be applied to any data set, regardless of the shape of its frequency distribution.

C. Neither Chebyshev's Rule nor the Emprical Rule require any assumptions about the frequency distribution.

D. Neither the Empirical Rule nor Chebyshev's Rule can be applied to data unless the frequency distribution is mound-shaped and symmetrical.

6. When obtaining data by it's most important to inquire about the purposes of the original

experimenter.

A. performing a designed experiment

B. conducting a survey

C. reading a published source

D. collecting data observationally

7. When creating a histogram, it's important to ensure that the classes of data satisfy which properties?

A. They must include each interval on the number line.

B. They must be all the same size.

C. No requirements are made; the individual creating the graph is free to choose any classes.

D. They must be mutually exclusive and exhaustive.

8. Several ways to make a bar graph deceptive appear below. Which of these is sometimes used to exaggerate differences from one data value to the next?

A. Starting the vertical axis at a point greater than zero

B. Making the graph shorter than it needs to be

C. Making the graph taller than it needs to be

D. A gap in the vertical axis

9. To answer the question, refer to the following list of raw data.

63, 71, 72, 77, 77, 78, 86, 77, 88, 88

What is the mode for the data? A. 77.7

B.77

C. 88

D. 77.5

10. A study was conducted of the 12-month earnings per share for two categories of airline companies,

with the result shown in the chart below.

Based on the data, which of the following statements is correct?

Large

Small

Urlines

Airlines

$4.36

$1.60

6.19

-1.98

-0.42

1.03

3.73

-0.21

0.26

-1.15

6.27

4.19

0.59

1.52

1.97

4.57

0.05

A. The large airlines have a mean earnings per share of 3.40, and the small airlines have a standard deviation of 2.01.

B. The large airlines have a standard deviation of 2.88, and the small airlines have a standard deviation of 4.04.

C. The large airlines have a mean earnings per share of 3.40, and the small airlines have a mean earnings per share of 1.22.

D. The large airlines have a variance of 4.04, and the small airlines have a variance of 8.30.

11. Which of the following statements is true about a stem-and-leaf plot?

A. It involves creating columns of dots, one for each datum in the sample.

B. It separates data at the decimal point, creating horizontal rows whose values are close together.

C. It uses vertical bars to illustrate a probability distribution.

D. Stem-and-leaf plots are histograms whose bars have been arranged in decreasing order of frequency.

12. A particular sample contains 50 data values. According to Chebyshev's theorem, which of the following is the number of values you would expect to fall within 3.0 standard deviations of the mean?

A. 35

B.45

C.25

D.5

13. In a sample with mean x = 12 and standard deviation s = 3.5, a data point at 16.8 would have what sample z-score?

A. 1.37

B.4.8

C. We can't know the answer without knowing the population mean jjl and standard deviation a.

D. 1.4

14. When a sample is taken from a larger population, this suggests that which of the following will be used?

A. Computation of a sample mean

B. Descriptive statistics

C. Independent events

D. Inferential statistics

15. To answer the question, refer to the following list of raw data.

63, 71, 72, 77, 77, 78, 86, 77, 88, 88

What is the median for the data?

A. 88

B. 77.5 C.77 D. 77.7

16. Use the following data sample to answer the question.

4, 14, 6, 9, 21, 3, 7, 10

What is the mean of this data sample?

A. 7

B. There's no mean value.

C. 8

D. 9.25

17. To answer the question, refer to the following list of raw data.

63, 71, 72, 77, 77, 78, 86, 77, 88, 88

What is the mean for the data?

A. 77

B. 88

C. 77.5

D. 77.7

18. Which of the following involves inferential statistics as opposed to descriptive statistics?

A. The city business office reported 35 building permits for new single-family housing units.

B. A class of 50 statistics students earned an average grade of 73.5.

C. The Alcohol, Tobacco and Firearms department reported that Houston had 1,791 registered gun dealers in 1997.

D. A local cable system, using a sample of 500 subscribers, estimates that 40 percent of its subscribers watch a premium channel at least once per day.

19. Which type of plot takes quantitative data and forms classes out of it, thus turning it into qualitative data?

A. Pie chart

B. Stem-and-leaf plot

C. Histogram

D. Dot plot

20. Which of the following are parameters of a population?

A. jjl and x

B. a and n

C. jjl and a D.a and a

1. The Burger Bin fast-food restaurant sells a mean of 24 burgers an hour and its burger sales are normally distributed. The standard deviation is 6. What is the probability that the Burger Bin will sell 12 to 18 burgers in an hour? (EXAM 250712)

A. 0.342

B. 0.239

C. 0.475

D. 0.136

2. If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.)

A. 4.5%

B. 2.1%

C. 4.2%

D. 0.3%

3. If the probability that an event will happen is 0.3, what is the probability of the event's complement?

A. 0.1

B. 1.0 C.0.7 D.0.3

4. Assume that an event A contains 10 observations and event B contains 15 observations. If the intersection of events A and B contains exactly 3 observations, how many observations are in the union of these two events?

A. 28

B. 0

C. 10 D.22

5. If event A and event B are mutually exclusive, P(A or B) =

A. P(A) + P(B).

B. P(A + E).

C. P(A) - P(B).

D. P(A) + P(B) - P(A and B).

6. A continuous probability distribution represents a random variable

A. having an infinite number of outcomes that may assume any number of values within an interval.

B. that's best described in a histogram.

C. that has a definite probability for the occurrence of a given integer.

D. having outcomes that occur in counting numbers.

7. Approximately how much of the total area under the normal curve will be in the interval spanning 2 standard deviations on either side of the mean?

A. 68.3%

B. 99.7%

C. 50%

D. 95.5%

8. Which of the following is a discrete random variable?

A. The time required to drive from Dallas to Denver

B. The weight of football players in the NFL

C. The average daily consumption of water in a household

D. The number of three-point shots completed in a college basketball game

Protestant Catholic Jewish Other

Democrat

0.35

0.10

0.03

0.02

Republican

0.27

0.09

0.02

0.01

Independent

0.05

0.03

0.02

0.01

9. The table above gives the probabilities of combinations of religion and political parties in a city in the United States. What is the probability that a randomly selected person will be a Protestant and at the same time be a Democrat or a Republican?

A. 0.67

B. 0.35

C. 0.89

D. 0.62

10. A breeder records probabilities for two variables in a population of animals using the two-way table given here. Let A be the event "shaggy and brown-haired." Compute P{A°).

Brown-haired

Blond

Short-haired

0.06

0.23

Shaggy

0.51

0.20

A. 0.77

B. 0.36

C. 0.49 D.0.51

11. In the binomial probability distribution, p stands for the

A. number of trials.

B. number of successes.

C. probability of success in any given trial.

D. probability of failure in any given trial.

12. A new car salesperson knows that she sells a car to one customer out of 20 who enter the showroom. Find the probability that she'll sell a car to exactly two of the next three customers.

A. 0.9939

B. 0.1354

C. 0.0071

D. 0.0075

13. Tornadoes for January in Kansas average 3.2 per month. What is the probability that, next January, Kansas will experience exactly two tornadoes?

A. 0.2087

B. 0.4076

C. 0.1304

D. 0.2226

14. For each car entering the drive-through of a fast-food restaurant, x = the number of occupants. In this study, x is a

A. joint probability.

B. continuous quantitative variable.

C. dependent event.

D. discrete random variable.

15. The probability of an offender having a speeding ticket is 35%, having a parking ticket is 44%, having both is 12%. What is the probability of an offender having either a speeding ticket or a parking ticket or both?

A. 55%

B. 67%

C. 91%

D. 79%

16. A credit card company decides to study the frequency with which its cardholders charge for items from a certain chain of retail stores. The data values collected in the study appear to be normally distributed with a mean of 25 charged purchases and a standard deviation of 2 charged purchases. Out of the total number of cardholders, about how many would you expect are charging 27 or more purchases in this study?

A. 94.8%

B. 47.8%

C. 68.3%

D. 15.9%

17. The possible values of x in a certain continuous probability distribution consist of the infinite number of values between 1 and 20. Solve for P(x = 4).

A. 0.05

B. 0.00

C. 0.03

D. 0.02

18. A breeder records probabilities for two variables in a population of animals using the two-way table given here. Given that an animal is brown-haired, what is the probability that it's short-haired?

Brown-haired Blond

Short-haired

0.06

0.23

Shaggy

0.51

0.20

A. 0.06

B. 0.105

C. 0.222

D. 0.0306

19. An apartment complex has two activating devices in each fire detector. One is smoke-activated and has a probability of .98 of sounding an alarm when it should. The second is a heat-sensitive activator and has a probability of .95 of operating when it should. Each activator operates independently of the other. Presume a fire starts near a detector. What is the probability that both activating devices will work properly?

A. 0.965

B. 0.9895

C. 0.931

D. 0.049

20. Consider an experiment that results in a positive outcome with probability 0.38 and a negative outcome with probability 0.62. Create a new experiment consisting of repeating the original experiment 3 times. Assume each repetition is independent of the others. What is the probability of three successes?

A. 1.14

B. 0.055

C. 0.238

D. 0.762

A. To estimate a target parameter of the population

B. To verify that the population is approximately normally distributed

C. To achieve a more accurate result than can be achieved by surveying the entire population

D. To create a point estimator of the population mean or proportion

2. For 1996, the U.S. Department of Agriculture estimated that American consumers would have eaten, on average, 2.6 pounds of cottage cheese throughout the course of that year. Based on a longitudinal study of 98 randomly selected people conducted during 1996, the National Center for Cottage Cheese Studies found an average cottage cheese consumption of 2.75 pounds and a standard deviation of s = 14 ounces. Given this information, which of the following statements would be correct concerning a two-tail test at the 0.05 level of significance?

A. We can conclude that the average cottage cheese consumption in America is at least 0.705 pound more or less than 2.75 pounds per person per year.

B. We can conclude that the average cottage cheese consumption in America is actually 2.75 pounds per person per year.

C. We can conclude that the average cottage cheese consumption in America isn't 2.6 pounds per person per year.

D. We can conclude that we can't reject the claim that the average cottage cheese consumption in America is 2.6 pounds per person per year.

3. If the level of significance (a) is 0.005 in a two-tail test, how large is the nonrejection region under the curve of the t distribution?

A. 0.995

B. 0.005

C. 0.050

D. 0.9975

4. H^ is p = 0.45 and H, is p ^ 0.45. What type of test will be performed?

A. Two-tail testing of a proportion

B. One-tail testing of a proportion

C. Two-tail testing of a mean

D. One-tail testing of a mean

5. A federal auditor for nationally chartered banks, from a random sample of 100 accounts, found that the

average demand deposit balance at the First National Bank of Arkansas was $549.82. If the auditor needed a point estimate for the population mean for all accounts at this bank, what should he use?

A. The average of $549.82 for this sample

B. The auditor should survey the total of all accounts and determine the mean.

C. There's no acceptable value available.

D. The average of $54.98 for this sample

6. In a criminal trial, a Type II error is made when a/an

A. guilty defendant is acquitted.

B. guilty defendant is convicted.

C. innocent person is convicted.

D. innocent person is acquitted.

7. To schedule appointments better, the office manager for an ophthalmologist wants to estimate the average time that the doctor spends with each patient. A random sample of 49 is taken, and the sample mean is 20.3 minutes. Assume that the office manager knows from past experience that the standard deviation is 14 minutes. She finds that a 95% confidence interval is between 18.3 and 22.3 minutes. What is the point estimate of the population mean, and what is the confidence coefficient?

A. 20.3, 95%

B. 20.3, 0.95

C. 18.3,0.95

D. 18.3, 95%

8. A human resources manager wants to determine a confidence interval estimate for the mean test score for the next office-skills test to be given to a group of job applicants. In the past, the test scores have been normally distributed with a mean of 74.2 and a standard deviation of 30.9. Determine a 95% confidence interval estimate if there are 30 applicants in the group.

A. 13.64 to 134.76

B. 63.14 to 85.26

C. 68.72 to 79.68

D. 64.92 to 83.48

9. A woman and her son are debating about the average length of a preacher's sermons on Sunday morning. Despite the mother's arguments, the son thinks that the sermons are more than twenty minutes. For one year, he has randomly selected 12 Sundays and found an average time of 26.42 minutes with a standard deviation of 6.69 minutes. Assuming that the population is normally distributed and using a 0.05 level of significance, he wishes to determine whether he is correct in thinking that the average length of sermons is more than 20 minutes. What is the test statistic?

A. 6.69

B. -3.32

C.3.32 D. 0.95

10. When the confidence coefficient is large, which of the following is true? A. The confidence interval is narrow.

B. Its value is close to 1.0, but not larger than 1.0.

C. It's more likely that the test will lead you to reject the null hypothesis.

D. Its value is 1.0 or larger.

11. Determine which of the following four population size and sample size combinations would not require the use of the finite population correction factor in calculating the standard error.

A. N= 15,000; n= 1,000

B. N= 1500; n = 300 C.N=2500;« = 75 D.N=150;« = 25

12. What sample size is required from a very large population to estimate a population proportion within 0.05 with 95% confidence? Don't assume any particular value for p.

A. 385

B.38

C.767 D.271

13. Determine the power for the following test of hypothesis.

H0:/u = 950 vs. Hj./u^ 950, given that ju = 1,000, a = 0.10, a = 200, and n = 25.

A. 0.6535

B. 0.3465

C. 0.5062

D. 0.4938

14. If a teacher wants to test her belief that more than five students in college classes typically receive A as a grade, she'll perform -tail testing of a .

A. two, proportion

B. one, mean

C. one, proportion

D. two, mean

15. The power of a test is the probability of making a/an

decision when the null hypothesis is

A. correct, false

B. incorrect, true

C. incorrect, false

D. correct, true

16. In a simple random sample from a population of several hundred that's approximately normally distributed, the following data values were collected.

68, 79, 70, 98, 74, 79, 50, 102, 92, 96

Based on this information, the confidence level would be 90% that the population mean is somewhere between

A. 71.36 and 90.24.

B. 73.36 and 88.24.

C. 65.33 and 95.33.

D. 69.15 and 92.45.

17. Consider a null hypothesis stating that the population mean is equal to 52, with the research hypothesis that the population mean is not equal to 52. Assume we have collected 38 sample data from which we computed a sample mean of 53.67 and a sample standard deviation of 3.84. Further assume the sample data appear approximately normal. What is the test statistic?

A. 2.68

B. 2.64

C. -2.64

D. -2.68

18. A portfolio manager was analyzing the price-earnings ratio for this year's performance. His boss said that the average price-earnings ratio was 20 for the many stocks that his firm had traded, but the portfolio manager felt that the figure was too high. He randomly selected a sample of 50 price-earnings ratios and found a mean of 18.17 and a standard deviation of 4.60. Assume that the population is normally distributed, and test at the 0.01 level of significance. Which of the following is the correct decision rule for the manager to use in this situation?

A. Because 2.81 is greater than 2.33, reject H„. At the 0.01 level, the sample data suggest that the average price-earnings ratio for the stocks is less than 20.

B. Because -2.81 falls in the rejection region, reject HQ. At the 0.01 level, the sample data suggest that the average price- earnings ratio for the stocks is less than 20.

C. If z > 2.33, reject HQ.

D. If t > 2.68 or if t < -2.68, reject HQ.

19. Because of the popularity of movies as an entertainment medium for adolescents, an entrepreneur plans to do a national study of the average cost of a movie ticket. If you assume that s = $0.50, what sample size would the entrepreneur have to take to be 95% confident that the estimate was within $0.25 of the true mean ticket prices?

A. 4

B. 16

C. 15 D.8

20. A random sample of 10 employees is selected from a large firm. For the 10 employees, the number of days each was absent during the past month was found to be 0, 2, 4, 2, 5, 1, 7, 3, 2, and 4. Of the following values, which would you use as the point estimate for the average number of days absent for all the firm's employees?

A. 30

B.3

C.4

D.2 5

Exam 250714

1. In testing for the equality of two population variances, when the populations are normally distributed, the 10% level of significance has been used. To determine the rejection region, it will be necessary to refer to the F table corresponding to an upper-tail area of

A. 0.10.

B. 0.90.

C. 0.20.

D. 0.05.

2. In testing a population variance or constructing a confidence interval for the population variance, an essential assumption is that

A. expected frequencies equal or exceed 5.

B. the population is normally distributed.

C. sample size exceeds 30.

D. the population is uniformly distributed.

3. A left-tail area in the chi-square distribution equals 0.95. For df= 10, the table value equals

A. 15.987.

B. 3.940.

C. 20.483.

D. 18.307.

4. Another name for the residual term in a regression equation is

A. residual analysis.

B. homoscedasticity.

C. random error.

D. pooled variances.

5. A balanced experiment requires that

A. at least two treatment groups be used.

B. the number of treatments equals the number of samples.

C. an equal number of persons or test units receives each treatment.

D. at least one sample equal size is 30.

6. In testing the difference between two population means using two independent samples, we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference

x, — x, if the

A. sizes are both greater than 30.

B. populations are nonnormal with unequal variances.

C. ample sizes are both large.

D. populations are at least normally distributed with equal variances.

7. In testing the difference between two population means using two independent samples, the sampling distribution of the sample mean difference x". - x\ is normal if the

A. populations are nonnormal and the sample sizes are large.

B. sizes are both greater than 30.

C. population sizes are both greater than 30.

D. populations are normal.

8. A random sample of males and females involved in rear-end accidents results in the following Minitab summary:

N

MEAN

MEDIAN

TRMEAN

STDEV

SEMEAN

FEMALES

33

23.91

20.00

23.38

9.77

1.70

MALES

38

28.87

28.50

28.44

9.67

1.57

What is the value of the test statistic (Z score)? A. 2.32 B.-2.14

C. 1.64

D. -4.96

9. A regression analysis between sales (in $1000) and advertising (in $) resulted in the following least

squares line: y~ = 80,000 + 5x. This implies that an increase of in advertising is expected to result

in an increase of in sales.

A. $1, $5,000

B. $1, $5

C. $1, $80,005

D. $5, $5,000

10. In using the ANOVA models, the assumptions made about the data are

A. all 3 assumptions made here about the data.

B. the samples are independent.

C. the population variances are equal.

D. the population distributions are normal.

11. Consider the following data values of variables x and y.

X

4 5

2|6p|3

3765

Find the least squares regression line.

A. 21.206+ 1.073*

B. -1.045 + 0.932x

C. 1.659 + 0.93 2x

D. 1.122+ 1.073*

12. The object on which the response and factors are observed is called

A. experimental unit.

B. treatments.

C. factor level.

D. factors.

13. Lily Energy Systems manufacturer's wood-burning heaters and fireplace inserts. One of its systems has an electric blower, which is thermostatically controlled. The blower is designed to automatically turn on when the temperature in the stove reaches 125°F and turn off at 85°F. Complaints from customers indicate that the thermostat control is not working properly. The company feels that the thermostat is acceptable if the variance in the cutoff temperature is less than or equal to 175. The company takes a sample of 24 thermostats and finds that the variance equals 289. The calculated chi-square test statistic and the table value for a 0.05 significance level are

A. 37.983, 38.076.

B. 35.172, 38.99.

C. 38.076, 38.99.

D. 37.983, 35.172

14. An indication of no linear relationship between two variables would be a coefficient of

A. correlation equal to -1.

B. determination equal to -1.

C. determination equal to 1.

D. correlation of 0.

15. Given the significance level 0.05, the F-value for the degrees of freedom, df= (3,7) is

A. 6.16.

B. 4.35.

C. 8.89. D.4.12.

16. In a hypothesis test for the population variance, the alternate hypothesis is the population variance does not equal 17.0. The significance level to be used is 0.05 and the sample size to be taken is 25. The table value(s) to use from the chi-square distribution is/are

A. 40.647.

B. 13.120 and 40.647.

C. 39.364.

D. 12.401 and 39.364.

17. A "best-fit" mathematical equation for the values of two variables, x and y, is called

A. correlation analysis.

B. scatter diagram.

C. regression analysis.

D. errors of prediction.

18. Which of the following statements are true regarding the simple linear regression model y. = /L + /?,x. +

e.?

i

A. £. is a nonrandom error.

i

B. p0 is the slope of the regression line.

C. p, is the j-intercept of the regression line.

D. yt is a value of the dependent variable (y) and xi is a value of the independent variable (x).

19. With larger and larger numbers of categories in chi-square tests, the chi-square distribution takes on the shape of the distribution.

A.t-

B. Poisson

C. binomial

D. normal

20. Given the significance level 0.025, the F-value for the degrees of freedom, df= (7,3) is

A. 8.45.

B. 27.67.

C. 5.89.

D. 14.62.

1. If there are an odd number of data values in a set, the median will be the (exam250711)

A. value that appears the greatest number of times.

B. average of all of the values divided by the number of values in the set.

C. value that appears in the center.

D. average of the two end values.

2. Consider the following distribution:

Which of the following would you expect?

A. The mean is greater than the median, and the median is greater than the mode.

B. There's no difference in the values of the mean, median, and mode.

C. The mean is greater than the mode, which in turn is greater than the median.

D. The mean is less than the median, and the median is less than the mode.

3. To answer the question, refer to the following data.

Ten students were sampled at random from a student population. Each was asked how many courses he or she was planning on studying in the upcoming year. The following is a list of the reported data values: 1, 2,

2, 3, 4, 5, 5, 5, 5, 6

What is the variance for the data values?

A. 1.687

B. 2.56

C. 1.6

D. 2.844

4. Use the following data sample to answer the question.

4, 14, 6, 9, 21, 3, 7, 10

What is the median of this data sample?

A. 9.25

B. 8

C. There's no median value. D.7

5. Which of the following statements about interpreting standard deviation is true?

A. The Empirical Rule can't be applied unless the frequency distribution is mound-shaped and symmetric. Chebyshev's Rule can be applied to any data set, regardless of the shape of its frequency distribution.

B. Chebyshev's Rule can't be applied unless the frequency distribution is mound-shaped and symmetric. The Empirical Rule can be applied to any data set, regardless of the shape of its frequency distribution.

C. Neither Chebyshev's Rule nor the Emprical Rule require any assumptions about the frequency distribution.

D. Neither the Empirical Rule nor Chebyshev's Rule can be applied to data unless the frequency distribution is mound-shaped and symmetrical.

6. When obtaining data by it's most important to inquire about the purposes of the original

experimenter.

A. performing a designed experiment

B. conducting a survey

C. reading a published source

D. collecting data observationally

7. When creating a histogram, it's important to ensure that the classes of data satisfy which properties?

A. They must include each interval on the number line.

B. They must be all the same size.

C. No requirements are made; the individual creating the graph is free to choose any classes.

D. They must be mutually exclusive and exhaustive.

8. Several ways to make a bar graph deceptive appear below. Which of these is sometimes used to exaggerate differences from one data value to the next?

A. Starting the vertical axis at a point greater than zero

B. Making the graph shorter than it needs to be

C. Making the graph taller than it needs to be

D. A gap in the vertical axis

9. To answer the question, refer to the following list of raw data.

63, 71, 72, 77, 77, 78, 86, 77, 88, 88

What is the mode for the data? A. 77.7

B.77

C. 88

D. 77.5

10. A study was conducted of the 12-month earnings per share for two categories of airline companies,

with the result shown in the chart below.

Based on the data, which of the following statements is correct?

Large

Small

Urlines

Airlines

$4.36

$1.60

6.19

-1.98

-0.42

1.03

3.73

-0.21

0.26

-1.15

6.27

4.19

0.59

1.52

1.97

4.57

0.05

A. The large airlines have a mean earnings per share of 3.40, and the small airlines have a standard deviation of 2.01.

B. The large airlines have a standard deviation of 2.88, and the small airlines have a standard deviation of 4.04.

C. The large airlines have a mean earnings per share of 3.40, and the small airlines have a mean earnings per share of 1.22.

D. The large airlines have a variance of 4.04, and the small airlines have a variance of 8.30.

11. Which of the following statements is true about a stem-and-leaf plot?

A. It involves creating columns of dots, one for each datum in the sample.

B. It separates data at the decimal point, creating horizontal rows whose values are close together.

C. It uses vertical bars to illustrate a probability distribution.

D. Stem-and-leaf plots are histograms whose bars have been arranged in decreasing order of frequency.

12. A particular sample contains 50 data values. According to Chebyshev's theorem, which of the following is the number of values you would expect to fall within 3.0 standard deviations of the mean?

A. 35

B.45

C.25

D.5

13. In a sample with mean x = 12 and standard deviation s = 3.5, a data point at 16.8 would have what sample z-score?

A. 1.37

B.4.8

C. We can't know the answer without knowing the population mean jjl and standard deviation a.

D. 1.4

14. When a sample is taken from a larger population, this suggests that which of the following will be used?

A. Computation of a sample mean

B. Descriptive statistics

C. Independent events

D. Inferential statistics

15. To answer the question, refer to the following list of raw data.

63, 71, 72, 77, 77, 78, 86, 77, 88, 88

What is the median for the data?

A. 88

B. 77.5 C.77 D. 77.7

16. Use the following data sample to answer the question.

4, 14, 6, 9, 21, 3, 7, 10

What is the mean of this data sample?

A. 7

B. There's no mean value.

C. 8

D. 9.25

17. To answer the question, refer to the following list of raw data.

63, 71, 72, 77, 77, 78, 86, 77, 88, 88

What is the mean for the data?

A. 77

B. 88

C. 77.5

D. 77.7

18. Which of the following involves inferential statistics as opposed to descriptive statistics?

A. The city business office reported 35 building permits for new single-family housing units.

B. A class of 50 statistics students earned an average grade of 73.5.

C. The Alcohol, Tobacco and Firearms department reported that Houston had 1,791 registered gun dealers in 1997.

D. A local cable system, using a sample of 500 subscribers, estimates that 40 percent of its subscribers watch a premium channel at least once per day.

19. Which type of plot takes quantitative data and forms classes out of it, thus turning it into qualitative data?

A. Pie chart

B. Stem-and-leaf plot

C. Histogram

D. Dot plot

20. Which of the following are parameters of a population?

A. jjl and x

B. a and n

C. jjl and a D.a and a

1. The Burger Bin fast-food restaurant sells a mean of 24 burgers an hour and its burger sales are normally distributed. The standard deviation is 6. What is the probability that the Burger Bin will sell 12 to 18 burgers in an hour? (EXAM 250712)

A. 0.342

B. 0.239

C. 0.475

D. 0.136

2. If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.)

A. 4.5%

B. 2.1%

C. 4.2%

D. 0.3%

3. If the probability that an event will happen is 0.3, what is the probability of the event's complement?

A. 0.1

B. 1.0 C.0.7 D.0.3

4. Assume that an event A contains 10 observations and event B contains 15 observations. If the intersection of events A and B contains exactly 3 observations, how many observations are in the union of these two events?

A. 28

B. 0

C. 10 D.22

5. If event A and event B are mutually exclusive, P(A or B) =

A. P(A) + P(B).

B. P(A + E).

C. P(A) - P(B).

D. P(A) + P(B) - P(A and B).

6. A continuous probability distribution represents a random variable

A. having an infinite number of outcomes that may assume any number of values within an interval.

B. that's best described in a histogram.

C. that has a definite probability for the occurrence of a given integer.

D. having outcomes that occur in counting numbers.

7. Approximately how much of the total area under the normal curve will be in the interval spanning 2 standard deviations on either side of the mean?

A. 68.3%

B. 99.7%

C. 50%

D. 95.5%

8. Which of the following is a discrete random variable?

A. The time required to drive from Dallas to Denver

B. The weight of football players in the NFL

C. The average daily consumption of water in a household

D. The number of three-point shots completed in a college basketball game

Protestant Catholic Jewish Other

Democrat

0.35

0.10

0.03

0.02

Republican

0.27

0.09

0.02

0.01

Independent

0.05

0.03

0.02

0.01

9. The table above gives the probabilities of combinations of religion and political parties in a city in the United States. What is the probability that a randomly selected person will be a Protestant and at the same time be a Democrat or a Republican?

A. 0.67

B. 0.35

C. 0.89

D. 0.62

10. A breeder records probabilities for two variables in a population of animals using the two-way table given here. Let A be the event "shaggy and brown-haired." Compute P{A°).

Brown-haired

Blond

Short-haired

0.06

0.23

Shaggy

0.51

0.20

A. 0.77

B. 0.36

C. 0.49 D.0.51

11. In the binomial probability distribution, p stands for the

A. number of trials.

B. number of successes.

C. probability of success in any given trial.

D. probability of failure in any given trial.

12. A new car salesperson knows that she sells a car to one customer out of 20 who enter the showroom. Find the probability that she'll sell a car to exactly two of the next three customers.

A. 0.9939

B. 0.1354

C. 0.0071

D. 0.0075

13. Tornadoes for January in Kansas average 3.2 per month. What is the probability that, next January, Kansas will experience exactly two tornadoes?

A. 0.2087

B. 0.4076

C. 0.1304

D. 0.2226

14. For each car entering the drive-through of a fast-food restaurant, x = the number of occupants. In this study, x is a

A. joint probability.

B. continuous quantitative variable.

C. dependent event.

D. discrete random variable.

15. The probability of an offender having a speeding ticket is 35%, having a parking ticket is 44%, having both is 12%. What is the probability of an offender having either a speeding ticket or a parking ticket or both?

A. 55%

B. 67%

C. 91%

D. 79%

16. A credit card company decides to study the frequency with which its cardholders charge for items from a certain chain of retail stores. The data values collected in the study appear to be normally distributed with a mean of 25 charged purchases and a standard deviation of 2 charged purchases. Out of the total number of cardholders, about how many would you expect are charging 27 or more purchases in this study?

A. 94.8%

B. 47.8%

C. 68.3%

D. 15.9%

17. The possible values of x in a certain continuous probability distribution consist of the infinite number of values between 1 and 20. Solve for P(x = 4).

A. 0.05

B. 0.00

C. 0.03

D. 0.02

18. A breeder records probabilities for two variables in a population of animals using the two-way table given here. Given that an animal is brown-haired, what is the probability that it's short-haired?

Brown-haired Blond

Short-haired

0.06

0.23

Shaggy

0.51

0.20

A. 0.06

B. 0.105

C. 0.222

D. 0.0306

19. An apartment complex has two activating devices in each fire detector. One is smoke-activated and has a probability of .98 of sounding an alarm when it should. The second is a heat-sensitive activator and has a probability of .95 of operating when it should. Each activator operates independently of the other. Presume a fire starts near a detector. What is the probability that both activating devices will work properly?

A. 0.965

B. 0.9895

C. 0.931

D. 0.049

20. Consider an experiment that results in a positive outcome with probability 0.38 and a negative outcome with probability 0.62. Create a new experiment consisting of repeating the original experiment 3 times. Assume each repetition is independent of the others. What is the probability of three successes?

A. 1.14

B. 0.055

C. 0.238

D. 0.762

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