Provide an Appropriate Response $\alpha = 0.10$ $\begin{array}{l|llllll}\text { Men } & 22 & 34 & 28 & 30 & 31 & 38 \\\hline \text { Women } & 21 & 24 & 21 & 26 & 38 & 24\end{array}$

Provide an appropriate response.
-A researcher wants to know if the time spent in prison for grand larceny was the same for men and women. A random sample of men and women convicted of grand larceny were each asked to give the length of sentence received. The data, in years, are listed below. Test the hypothesis that the median sentence for men is greater than the median sentence for women. Use $\alpha = 0.10$ .
$\begin{array}{l|llllll}\text { Men } & 22 & 34 & 28 & 30 & 31 & 38 \\\hline \text { Women } & 21 & 24 & 21 & 26 & 38 & 24\end{array}$

$\begin{array}{l|llllll}\text { Men } & 26 & 34 & 24 & 31 & 35 & 36 \\\hline \text { Women } & 46 & 20 & 22 & 25 & 29 & 39\end{array}$