Q 58

A restaurant chain has two locations in a medium-sized town and,believing that it has oversaturated the market for its food,is considering closing one of the restaurants.The manager of the restaurant with a downtown location claims that his restaurant generates more revenue than the sister restaurant by the freeway.The CEO of this company,wishing to test this claim,randomly selects 36 monthly revenue totals for each restaurant.The revenue data from the downtown restaurant have a mean of $360,000 and a standard deviation of $50,000,while the data from the restaurant by the freeway have a mean of $340,000 and a standard deviation of $40,000.Assume there is no reason to believe the population standard deviations are equal,and let μ_{1} and μ_{2} denote the mean monthly revenue of the downtown restaurant and the restaurant by the freeway,respectively.At the 5% significance level,does the evidence support the manager's claim?
A) No,because the test statistic value is less than the critical value.
B) Yes,because the test statistic value is less than the critical value.
C) No,because the test statistic value is greater than the critical value.
D) Yes,because the test statistic value is greater than the critical value.

Q 59

A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening.Two independent samples of 25 weeks are collected for Tuesday and Wednesday.The mean attendance on Tuesday evening is calculated as 5,500,while the mean attendance on Wednesday evening is calculated as 5,850.The known population standard deviation for attendance on Tuesday evening is 550 and the known population standard deviation for attendance on Wednesday evening is 445.What are the appropriate hypotheses to determine whether there is a difference in attendance for shows on Tuesday evening and Wednesday evening? Use Tuesday attendance as population 1 mean μ_{1} and Wednesday attendance as population 2 mean μ_{2},or μ_{D} as the mean difference in matched-pairs sampling.
A) H_{0}: µ_{D} ≥ 0,H_{A}: µ_{D }<0
B) H_{0}: µ_{D} = 0,H_{A}: µ_{D }≠_{ }0
C) H_{0}: µ_{1}- µ_{2} = 0,H_{A}: µ_{1}- µ_{2} ≠ 0
D) H_{0}: µ_{1}- µ_{2} ≥ 0,H_{A}: µ_{1}- µ_{2} < 0

Q 60

A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening.Two independent samples of 25 weeks are collected for Tuesday and Wednesday.The mean attendance on Tuesday evening is calculated as 5,500,while the mean attendance on Wednesday evening is calculated as 5,850.The known population standard deviation for attendance on Tuesday evening is 550 and the known population standard deviation for attendance on Wednesday evening is 445.Which of the following is the value of the appropriate test statistic?
A) z = -2.4736
B) z = 2.4736
C) t_{df }= -2.4736
D) t_{df }= 2.4736