Reconsider the situation described in Exercise 79 of Chapter 9 and the accompanying MINITAB output (the Greek letter eta is used to denote a median).

Mann-Whitney Confidence Interval and Test good N
8 Median
0.540 poor N
8 Median
2.400 Point estimate for ETA1-ETA2 is 1.155 95.9 Percent CI for ETA1-ETA2 is (3.160, 0.409)

W
41.0 Test of ETA1
ETA2 vs ETA1  ETA2 is significant at 0.0027

a. Verify that the value of MINTAB’s test statistic is correct.

b. Carry out an appropriate test of hypotheses using a significance level of .01.