Chapter 12, Problem 27PS

Using Table E.6, determine the lower-and upper-tail critical values for the Wilcoxon rank sum test statistic, $T_{1,}$ in each of the following two-tail tests:

$\begin{array}{l}\text{a}\text{.}\alpha =0.10,n_1=6,n_2=8\\ \text{b}\text{.}\alpha =0.05,n_1=6,n_2=8\\ \text{c}\text{.}\alpha =\text{0}\text{.01,}{n}_{\text{1}}=6,n_2=8\end{array}$

d. Given the results in (a) through (c), what do you conclude regarding the width of the region of nonrejection as the selection level of signification, $\alpha ,$ gets smaller?