A Researcher Wants to Know If the Time Spent in Prison

Essay

A researcher wants to know if the time spent in prison for a particular type of crime is the same for men and women. A random sample of men and women were each asked to give the length of sentence received. The data, in years, are listed below. Use the Wilcoxon rank sum procedure to test the claim that there is no difference in the sentence received by each gender. Use $\alpha = .05$ .
$\begin{array}{l|cccccc}\text { Men } & 5 & 17 & 11 & 13 & 14 & 21 \\\hline \text { Women } & 4 & 7 & 4 & 9 & 21 & 7\end{array}$

$\begin{array}{l|cccccc}\text { Men } & 9 & 17 & 7 & 14 & 18 & 19 \\\hline \text { Women } & 29 & 3 & 5 & 8 & 12 & 22\end{array}$