A Researcher Wants to Know If the Time Spent in Prison

Multiple Choice

A researcher wants to know if the time spent in prison for a particular type of crime was 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 test to find R, the sum of the ranks for the smaller
Sample, to test the claim that there is no difference in the sentence received by each gender. $$\begin{array} { l | l l l l l l } \text { Men } & 11 & 23 & 17 & 19 & 20 & 27 \\\hline \text { Women } & 10 & 13 & 10 & 15 & 27 & 13\end{array}$$ $$\begin{array} { l | l l l l l l } \text { Men } & 15 & 23 & 13 & 20 & 24 & 25 \\\hline \text { Women } & 35 & 9 & 11 & 14 & 18 & 28\end{array}$$

A) 125.5
B) 115.5
C) 173.5
D) 155.5