A Researcher Wants to Know If the Time Spent in Prison

question 43

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 months, are listed below. Use the Wilcoxon rank sum procedure to test the claim that there is no difference in the sentences received by men and the sentences received by women. Use ? = 0.05. $$\begin{array}{l}\begin{array} { l | l l l l l l } \text { Men } & 34 & 46 & 40 & 42 & 43 & 50 \\\hline \text { Women } & 33 & 36 & 33 & 38 & 50 & 36\end{array}\\\\\begin{array} { l | l l l l l l } \text { Men } & 38 & 46 & 36 & 43 & 47 & 48 \\\hline \text { Women } & 58 & 32 & 34 & 37 & 41 & 51\end{array}\end{array}$$

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Definitions:

Unfriended

The act of removing someone from one's social networking friends list.

Probability

The quantification of the chance of an event happening, represented as a number from 0 to 1, with 0 meaning the event is impossible and 1 meaning the event is certain.

P-Value

The probability of observing data at least as extreme as the ones observed, under the assumption that the null hypothesis is true.

Explanatory Variable

A variable in a statistical model that is believed to cause or influence changes in a response variable.