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. $\text { Use } \alpha = 0.05$ $$\begin{array} { c c c } \hline \begin{array} { c } \text { Elementary School } \\\text { Teachers }\end{array} & \begin{array} { c } \text { High School } \\\text { Teachers }\end{array} & \begin{array} { c } \text { Community College } \\\text { Teachers }\end{array} \\\hline 30 & 41 & 44 \\33 & 46 & 50 \\32 & 43 & 41 \\57 & 52 & 66 \\42 & 47 & 50 \\30 & 36 & 40 \\\hline\end{array}$$

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Definitions:

Exhaustion

A state of extreme physical or mental fatigue, often resulting from stress or prolonged physical activity.

Autonomic Nervous System

The part of the nervous system responsible for controlling involuntary bodily functions, including heart rate, digestion, and respiratory rate.

Fight-or-Flight Response

A physiological reaction that occurs in response to perceived harmful events, attacks, or threats to survival.

Sympathetic

Pertaining to the sympathetic nervous system, which controls the body's responses to stress and regulates vital functions such as heart rate.