A Researcher Wishes to Determine Whether There Is a Difference $\text { Use } \alpha = 0.05$

question 7

Essay

A researcher wishes to determine whether there is a difference in the average age of elementary school, high school, and community college teachers. Teachers are randomly selected. Their ages are recorded below. Use the Kruskal-Wallis H-test to test whether the distributions of the ages of teachers differ among the three types of school. Be sure to specify the null and alternative hypotheses. $\text { Use } \alpha = 0.05$ $$\begin{array} { c c c } \hline \begin{array} { c } \text { Elementary School } \\\text { Teachers }\end{array} & \begin{array} { c } \text { High School } \\\text { Teachers }\end{array} & \begin{array} { c } \text { Community College } \\\text { Teachers }\end{array} \\\hline 30 & 41 & 44 \\33 & 46 & 50 \\32 & 43 & 41 \\57 & 52 & 66 \\42 & 47 & 50 \\30 & 36 & 40 \\\hline\end{array}$$

---

Definitions:

Outside Customers

Individuals or entities that purchase a company's goods or services but are not part of the company itself.

Transfer Price

The fee at which services and items are traded between different sections within the same firm.

Selling Division

A segment or branch of a company responsible for the sale of its products or services, often structured to focus on specific markets or product lines.

Outside Customers

Individuals or entities that purchase goods or services but are not part of the providing organization.