Question

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 5,570, while the mean attendance on Wednesday evening is calculated as 5,940. The known population standard deviation for attendance on Tuesday evening is 650 and the known population standard deviation for attendance on Wednesday evening is 410. Which of the following is the appropriate conclusion at the 5% level of significance?

a) We can conclude that the mean attendance differs because the p-value = 0.008 < 0.05.

b) We can conclude that the mean attendance differs because the p-value = 0.0161 < 0.05.

c) We cannot conclude that the mean attendance differs because the p-value = 0.008 < 0.05.

d) We cannot conclude that the mean attendance differs because the p-value = 0.0161 < 0.05.

Answer 1

Ans. b)