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

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