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:

Inventory-Related Cost

Expenses associated with ordering, storing, handling, and managing inventory, including costs related to warehousing, spoilage, and obsolescence.

Fixed-Quantity System

An ordering system with the same order amount each time.

Fixed-Period System

A system in which inventory orders are made at regular time intervals.

Economic Batches

The optimal production quantity that minimizes the total cost, including setup costs and holding costs, ensuring cost-efficient production runs.