Students in statistics class were asked to report the number of hours they slept on weeknights and on weekends. At alpha=0.05, is there sufficient evidence that there is a difference in the mean number of hours slept?

Students 1 2 3 4 5 6 7 8

Hours

Sun-Thur 8 5.5 7.5 8 7 6 6 8

Hours

Fri-Sat 4 7 10.5 12 11 9 6 9

Do the following:

a. identify the claim and state Ho and Ha

b. determine whether the hypothesis test is left tailed, right tailed or two tailed and whether to use a z test or a t test.

c. find the critical value and identify the rejection regions

d. find the appropriate standardized test statistics.

e. decide whether to reject or fail to reject the null hypothesis

f. interpret the decision in the context of the original claim