A Researcher Wants to Know If the Time Spent in Prison

question 18

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 $\alpha = .05$ .
$\begin{array}{l|cccccc}\text { Men } & 5 & 17 & 11 & 13 & 14 & 21 \\\hline \text { Women } & 4 & 7 & 4 & 9 & 21 & 7\end{array}$

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

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Definitions:

Infant's Tendency

Refers to the natural inclinations or predispositions observed in infants, such as tendencies toward certain behaviors or reactions.

Movement

The act or process of changing physical location or position, often referring to the capability of organisms or parts of organisms to do so.

Representation

The act of standing for or symbolizing something else, or an accurate depiction of something in a particular medium.

Mental Picture

A visual representation formed in the mind, which can be recalled or imagined without the physical presence of the object.