A Researcher Wishes to Determine Whether There Is a Difference $H$

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 the claim that there is no difference in the distribution of the populations. Use $\alpha = .05$ .
$\begin{array}{ccc}\hline \begin{array}{c}\text { Elementary School } \\\text { Teachers }\end{array} & \begin{array}{c}\text { High School } \\\text { Teachers }\end{array} & \begin{array}{c}\text { Community College } \\\text { Teachers }\end{array} \\\hline 6 & 45 & 48 \\37 & 50 & 54 \\36 & 47 & 45 \\61 & 56 & 70 \\46 & 51 & 54 \\34 & 40 & 44\end{array}$