1. Random samples of female and male UVA undergraduates are asked to estimate the number of alcoholic drinks that each consumes on a typical weekend. The data is below:

Females (Population 1): 6, 2, 6, 5, 6, 3, 6, 6, 6, 4

Males (Population 2): 5, 4, 6, 5, 3, 5, 4, 3, 5, 7

Give a 92.2% confidence interval for the difference between mean female and male drink consumption. (Assume that the population standard deviations are equal to 1.376.)

Confidence Interval =

2. A random sample of 12 second-year university students enrolled in a business statistics course was drawn. At the course's completion, each student was asked how many hours he or she spent doing homework in statistics. The data are listed below.

53

63

54

62

57

64

62

59

56

54

65

61

It is known that the population standard deviation is 7. The instructor has recommended that students devote 5 hours per week for the duration of the 12-week semester, for a total of 60 hours. Test to determine whether there is evidence at the 0.06 significance level that the average student spent less than the recommended amount of time. Fill in the requested information below.

A. The value of the standardized test statistic:

Note:For the next part, your answer should use interval notation. An answer of the form(,)is expressed (-infty, a), an answer of the form(,)is expressed (b, infty), and an answer of the form(,)(,) is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is

D. Your decision for the hypothesis test:

A.Do Not Reject0.

B.Reject1.

C.Reject0.

D.Do Not Reject1.

3. A random sample of 10 observations was drawn from a large normally distributed population. The data is below.

18 11 15 13 11 21 14 17 16 16

Test to determine if we can infer at the 8% significance level that the population mean is not equal to 16, filling in the requested information below.

A. The value of the standardized test statistic:

Note:For the next part, your answer should use interval notation. An answer of the form(,) is expressed (-infty, a), an answer of the form(,)is expressed (b, infty), and an answer of the form(,)(,)is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is =

D. Your decision for the hypothesis test:

A.Reject1.

B.Reject0.

C.Do Not Reject0.

D.Do Not Reject1.