Perform the Indicated Wilcoxon Test $$\alpha$$ = 005 $$\begin{array} { l | l l l l l l } \text { Men } & 6 & 18 & 12 & 14 & 15 & 22 \\\hline \text { Women } & 5 & 8 & 5 & 10 & 22 & 8\end{array}$$

question 30

Essay

Perform the indicated Wilcoxon test. Be sure to do the following: Identify the claim mathematically and state the null
and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to
reject the null hypothesis and interpret the decision in the context of the original claim.
-A researcher wants to know if the length of sentences received for a particular type of crime was the same for
men and women. The length of sentence received was recorded for a random sample of men and women . The
data, in years, are listed below. Use the Wilcoxon rank sum test to test the claim that there is no difference
between the sentences received by men and the sentences received by women. Use $$\alpha$$ = 0.05. $$\begin{array} { l | l l l l l l } \text { Men } & 6 & 18 & 12 & 14 & 15 & 22 \\\hline \text { Women } & 5 & 8 & 5 & 10 & 22 & 8\end{array}$$ $$\begin{array} { l | l l l l l l } \text { Men } & 10 & 18 & 8 & 15 & 19 & 20 \\\hline \text { Women } & 30 & 4 & 6 & 9 & 13 & 23\end{array}$$

---

Definitions:

Personal Use

The use of an asset or product for individual rather than commercial or professional purposes.

Capital Contributions

Funds or assets contributed to a company by owners or shareholders, typically used to fund business operations or expansion.

Total Share

The aggregate number of shares that represents ownership in a company, including both common and preferred stock.

Net Income

The amount of money remaining after all operating expenses, taxes, and interest have been deducted from total revenue.