Refer to the data in Exercise 10.60. Suppose you wish to establish that the mean response of 35-44 year olds is larger than that of 19-24 year olds by more than 150 dollars.
(a) Formulate the null hypothesis and the alternative hypothesis.
(b) State the test statistic and the rejection region with α = .05.
(c) Perform the test at α = .05. Also, find the P-value and comment.