Use the following information to answer questions 1 – 2:

A study observed two samples of people, the first classified as “athletic” and the second as “non-athletic” . Among the 300 classified as “athletic”, it was found that 48 regularly eat a certain breakfast food. Among the 200 “non-athletic” persons, there were 52 who regularly eat this breakfast food. We want to study whether there is a difference in the proportions in consumption of this breakfast food    between the “athletic” and the “non-athletic” groups.

1.   What is the null hypothesis?

A)  The two groups are independent.

B)  The two groups are not independent.

C)  The two groups are homogeneous.

D)  The two groups are not homogeneous.

E)  The two classifications are independent.

2.   Compute the test statistic.

A)  Chi-square statistic = 7.5

B) F-statistic = 7.5

C)  Chi-square statistic = 0.192

D) F-statistic = 0.192

E)  Chi-square statistic = 56.25

Use the following information to answer questions 3 – 4:

A random sample of 200 individuals from a shopping centre is classified according to age and shopping habits as follows

Shopping Habits

Lookers      Buyers

Less than 18

28

22

3.   Suppose you are interested in the relationship between age and shopping habits. Which hypothesis test should you use?

A)  Chi-squared goodness-of-fit test

B)  Chi-squared test of independence

C)  Chi-squared test of homogeneity

D)  Two independent sample t-test not assuming equal variances

E)  Two sample proportion z-test

4.   The estimated expected frequency for lookers who are over 60 years of age is:

A) 33.3

B)  29.0

C)  43.3

D) 20.3

E)  37.7

5.   If the P-value of the test is 0.0094, what is the valid conclusion?

A)  Do not reject the H0 and conclude that the shopping habits are independent of age.

B)  Do not reject the H0  and conclude that the age groups are homogeneous.

C)  Reject the H0  and conclude that the shopping habits are not independent of age.

D)  Reject the H0  and conclude that the age groups are not homogeneous.

E)  Reject the H0 and conclude that the means are not the same.

Use the following information to answer questions 6 – 7:

A university student’s housing committee claims the distribution of student residence are as follows: 50% of students live in the campus residence, 30% rent an apartment, and 20% own a house. A recent university student’s housing survey reveals that 80 students live in the campus residence, 35   students rent an apartment, and 35 students own a house.

6.   Based on these results, what is the expected number of the students who own a house?

A) 30

B)  50

C)  35

D) 20

E)  45

7.   Does the distribution of the survey agree with the distribution suggested by the university    student’s housing committee at a 0.05 level of significance? If the test statistic is 3.389, find the P-value and conclusion.

A) Less than 0.05, so there is enough evidence to suggest the survey agrees with the distribution suggested by the university student’s housing committee.

B)  Between 0.05 and 0. 10, so there is enough evidence to suggest the survey does not agree with the distribution suggested by the university student’s housing committee.

C)  Between 0.05 and 0.10, so there is not enough evidence to suggest the survey does not agree with the distribution suggested by the university student’s housing committee.

D)  Greater than 0. 1, so there is enough evidence to suggest the survey does not agree with the distribution suggested by the university student’s housing committee.

E)  Greater than 0. 1, so there is not enough evidence to suggest the survey does not agree with the distribution suggested by the university student’s housing committee.

8.   Mr. Smith's gardener is not dependable; the probability that he will forget to water the     rosebush during Mr. Smith's absence is 2/3.  The rosebush is in questionable condition     anyway; if watered, the probability of it withering is 1/2, but if it is not watered, the         probability of it withering is 3/4.  What is the probability that Mr. Smith will find that the rosebush has withered?

A) 1/3

B) 2/3

C) 3/4

D) 1/2

E) 7/6

9.   The online access computer service industry is growing at an extraordinary rate.  Current       estimates suggest that 20% of people with home-based computers have access to online          services. Suppose that 15 people with home-based computers were randomly and                    independently sampled. What is the probability that at least one of those sampled have access to online services at home?

A) 0.9648

B) 1.000

C) 0.8329

D) 0.0352

E) 0.1671

Use the following information to answer questions 10 – 11:

A study observed tuitions at public and private universities. Tuitions for a sample of 20 private           universities and 20 public universities for a particular state were collected. For the public universities, both in-state and out-of-state tuitions were recorded. The summary statistics are displayed below.

10. Based on a 99% confidence level, what is the margin of error for the difference in average     tuition between out-of state students and in-state students at public universities? (If you think the samples are independent, then do not assume equal variances.)

A) 873

B) 1102

C) 1050

D) 775

E) 831

11. Carry out a test to see if, at public universities, out-of-state students pay more for tuition than in-state students, on average. What is the P-value? (If you think the samples are independent, then do not assume equal variances.)

A) Between 0.005 and 0.01

B) Between 0.01 and 0.025

C) Between 0.025 and 0.05

D) Between 0.05 and 0.10

E) Greater than 0.10

12. A researcher is interested in investigating whether people perform better at dexterity tests       while listening to classical music or to no music. He designs a dexterity test, and first gives it to his participants while classical music is playing, and then while no music is playing. Which hypothesis test should he use and why?

A)  One-sample proportion z-test, since there are only two categories: listening to classical music or no music.

B)  Two-sample proportion z-test, since the experiment creates two groups, each with two categories, to compare.

C)  Paired t-test, since there are two sets of measurements on the same subjects, providing a natural linking.

D)  Two independent sample t-test, since how a subject performs with music should have no influence on how he performs without music, creating two independent samples.

E)  One-sample mean t-test, since there is only one sample of subjects taking the dexterity tests.

Use the following information to answer questions 13 – 15:

There are many aspects to consider in developing marketing strategy. Store location is a major       concern. A particular convenience store chain reported the results of weekly revenues for 15 weeks from stores with urban, suburban, and rural locations. Historical data shows that revenues follow    approximately a normal distribution. Use the ANOVA table below to help answer the questions.

13. The estimate for the common standard deviation of revenues for the three groups is:

A) 3682

B) 7.70

C) 60.7

D) 59.4

E) 407.57

14. The test statistic for the ANOVA F-test for any difference among mean revenues between urban, suburban, and rural locations is:

A) 3.11

B) 1.04

C) 1.06

D) 1.56

E) 16.56

15. If the P-value is 0.223, what is your conclusion at α = 0.05?

A)  There is enough evidence to conclude the means are all equal.

B)  There is not enough evidence to conclude there is a difference among the mean revenues.

C)  There is enough evidence to conclude there is a difference among the mean revenues.

D)  There is not enough evidence to conclude the means are all equal.

E)  There is not enough evidence to conclude the means are all unequal.

16. A study was conducted to analyze the average selling price of a 3-bedroom detached house in the Edmonton area in 2006. The city was broken up into 6 regions. In each region, a sample   of 20 houses was selected. The ANOVA F-test was used to test for any difference in means   across the 6 regions. What is the distribution of the test statistic under the null hypothesis?

A) F-distribution with 5 and 14 degrees of freedom.

B) F-distribution with 5 and 114 degrees of freedom.

C) F-distribution with 6 and 114 degrees of freedom.

D) F-distribution with 5 and 119 degrees of freedom.

E) F-distribution with 6 and 19 degrees of freedom.

17. Specify the null and alternative hypotheses to which the F-statistic refers in a one-way analysis of variance.

A)  H0 : All means are equal vs. HA : All means are different

B)  H0 : All means are equal vs. HA : Some means are different

C)  H0 : All means are different vs. HA : All means are equal

D)  H0 : All means are equal vs. HA : Some means are equal

E)  H0 : All means are different vs. HA : Some means are the same

Use the following information to answer questions 18 – 20:

In the year 2024, the North American division of Meta-Comedy Incorporated is experiencing issues  with faulty sarcasm detectors. They randomly select 40 detectors and compare them to 40 randomly  selected detectors from the European division. The following summary statistics indicate the sarcasm measurements of the study (units are in Carlins).

18. Ifthe standard error of the appropriate point estimate is 4.697, what is the corresponding 99% confidence interval for the parameter related to this estimate? (If you think the samples are     independent, then assume equal variances.)

A) (- 11.797, -2.403)

D) (- 19. 198, 4.998)

B) (- 18.264, 4.064)

E) (- 19.514, 5.314)

C) (- 16.456, 2.256)

19. If an analyst wanted to test if North America had a lower average sarcasm measurement than Europe, what test should he use?

A) Paired t-test.

B) Two Independent Samples t-test, Assuming Equal Variances.

C) Test of Homogeneity.

D) Two Independent Samples t-test, Not Assuming Equal Variances.

E) Test of Independence.

20. Ifthat test produced a test statistic of - 1.512, what is the approximate range of the P-value? (If you think the samples are independent, then assume equal variances.)

A) (0.05, 0. 10)

B) (0. 10, 0.20)

C) (0.90, 0.95)

D) (0.025, 0.05)

E) (0. 10, 0.50)

21. In a test to see if the average of population A is less than the average of population B, which of the following set of hypotheses is VALID?

A) H0 : µA – µB = 0 vs. HA : µA – µB > 0

B) H0 : µA – µB  < 0 vs. HA : µA – µB  = 0

C) H0 : µA – µB  = 0 vs. HA : µA – µB ≠ 0

D) H0 : µA – µB  < 0 vs. HA : µA – µB ≥ 0

E) H0 : µA – µB = 0 vs. HA : µA – µB < 0

22. The 95% confidence interval for the difference between two means is (1.41, 15. 10). Which of the following conclusions is VALID?

A) A two-tailed test of equality between the means at the 5% significance level will lead to rejection of H0 .

B) Increasing sample size will increase the margin of error.

C) A test of equality between the means will lead to H0 not being rejected.

D) The corresponding 90% confidence interval will contain zero.

E) The second mean is greater than the first.

Use the following information to answer questions 23 – 24:

A materials engineer tries to design the perfect acoustic guitar. Working for the large company,      Strings Attached, the engineer focuses on measuring axial tension (in Newtons) before and after     applying the company’s patented technique to see if it increases the axial tension. By measuring 35 randomly selected guitars, she obtained the following summary statistics.