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. $$\begin{array}{l}\begin{array} { l | l l l l l l } \text { Men } & 34 & 46 & 40 & 42 & 43 & 50 \\\hline \text { Women } & 33 & 36 & 33 & 38 & 50 & 36\end{array}\\\\\begin{array} { l | l l l l l l } \text { Men } & 38 & 46 & 36 & 43 & 47 & 48 \\\hline \text { Women } & 58 & 32 & 34 & 37 & 41 & 51\end{array}\end{array}$$

---

Definitions:

Vitamin D

A fat-soluble vitamin that helps regulate the absorption of calcium and phosphorus, playing a crucial role in bone health.

Intestines

Tubular sections of the digestive system extending from the stomach to the anus, divided into the small and large intestines, responsible for nutrient absorption and waste processing.

Nondisplaced Fracture

A type of bone fracture where the bone cracks either part or all of the way through but does not move and maintains proper alignment.

Bone Sections

Cut or sliced pieces of bone prepared for histological examination to study the structure and function of bones.