6.6 Answer parts

(a) to

(c) using (i) the median-test procedure and (ii) the Mann–Whitney test procedure (use tables) for the following two independent random samples drawn from continuous populations which have the same form but possibly a difference of u in their locations:

X 79 13 138 129 59 76 75 53 Y 96 141 133 107 102 129 110 104

(a) Using the significance level 0.10, test H0 : u ¼ 0 versus H1 : u 6¼ 0

(b) Give the exact level of the test in (a).

(c) Give a confidence interval on u, with an exact confidence coefficient corresponding to the exact level noted in (b).