Perform the Indicated Wilcoxon Test $$\alpha$$ = 005 $$\begin{array} { l | l l l l l l } \text { Men } & 6 & 18 & 12 & 14 & 15 & 22 \\\hline \text { Women } & 5 & 8 & 5 & 10 & 22 & 8\end{array}$$

Essay

Perform the indicated Wilcoxon test. Be sure to do the following: Identify the claim mathematically and state the null
and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to
reject the null hypothesis and interpret the decision in the context of the original claim.
-A researcher wants to know if the length of sentences received for a particular type of crime was the same for
men and women. The length of sentence received was recorded for a random sample of men and women . The
data, in years, are listed below. Use the Wilcoxon rank sum test to test the claim that there is no difference
between the sentences received by men and the sentences received by women. Use $$\alpha$$ = 0.05. $$\begin{array} { l | l l l l l l } \text { Men } & 6 & 18 & 12 & 14 & 15 & 22 \\\hline \text { Women } & 5 & 8 & 5 & 10 & 22 & 8\end{array}$$ $$\begin{array} { l | l l l l l l } \text { Men } & 10 & 18 & 8 & 15 & 19 & 20 \\\hline \text { Women } & 30 & 4 & 6 & 9 & 13 & 23\end{array}$$