A Researcher Wishes to Determine Whether There Is a Difference

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 α = .05. $$\begin{array} { c c c } \hline \begin{array} { c } \text { Elementary School } \\\text { Teachers }\end{array} & \begin{array} { c } \text { High School } \\\text { Teachers }\end{array} & \begin{array} { c } \text { Community College } \\\text { Teachers }\end{array} \\\hline 8 & 47 & 50 \\39 & 52 & 56 \\38 & 49 & 47 \\63 & 58 & 72 \\48 & 53 & 56 \\36 & 42 & 46 \\\hline\end{array}$$