Refer to Exercise 15.1. Suppose the alternative hypothesis is that distribution 1 is shi...

Refer to Exercise 15.1. Suppose the alternative hypothesis is that distribution 1 is shifted either to the left or to the right of distribution 2 .

a. Should you use as the test statistic?

b. What is the rejection region for the test if α = .05?

c. What is the rejection region for the test if α = .01?

Reference:

Suppose you want to use the Wilcoxon rank sum test to detect a shift in distribution 1 to the right of distribution 2 based on samples of size = 8.

a. Should you use as the test statistic?

b. What is the rejection region for the test if α = .05?

c. What is the rejection region for the test if α = .01?