A Researcher Wishes to Determine Whether There Is a Difference

question 21

Essay

A researcher wishes to determine whether there is a difference in the average age of middle school, highschool, and college teachers. Teachers are randomly selected. Their ages are recorded below. Test thehypothesis that there is no difference in the average age of each group. Use α = 0.01. $$\begin{array} { c c c } \hline \text { Middle School Teachers } & \text { High School Teachers } & \text { College Teachers } \\\hline 23 & 41 & 39 \\28 & 38 & 45 \\27 & 36 & 45 \\52 & 47 & 61 \\25 & 42 & 36 \\37 & 31 & 35 \\\hline\end{array}$$

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Definitions:

African Americans

A racial or ethnic group in the United States with ancestors who are from Africa.

Child Free

A voluntary choice by individuals or couples not to have children, for a variety of personal or environmental reasons.

Parenthood

The role and responsibilities of a parent in raising, nurturing, and providing for their child or children.

Infertility Problems

Difficulties in conceiving a child, which may be due to issues with the reproductive systems of either partner.