Perform the Indicated Kruskall-Wallis Test $$\alpha = 0.05 \text {. }$$

Perform the indicated Kruskall-Wallis test. Be sure to do the following: Identify the claim mathematically and state the
null and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail
to reject the null hypothesis and interpret the decision in the context of the original claim.
-A researcher wishes to test the claim that there is a difference in the distribution of ages of elementary school,
high school, and community college teachers. Teachers are randomly selected from each group. Their ages are
recorded below. Can you conclude that the distributions of teachersʹ ages at these different levels of education
are different? Use $$\alpha = 0.05 \text {. }$$ $$\begin{array} { c | c | c } \begin{array} { l } \text { Elementary School } \\\text { Teachers }\end{array} & \begin{array} { c } \text { High School } \\\text { Teachers }\end{array} & \begin{array} { c } \text { Community College } \\\text { Teachers }\end{array} \\\hline 28 & 41 & 44 \\33 & 46 & 50 \\32 & 43 & 41 \\57 & 52 & 66 \\42 & 47 & 50 \\30 & 36 & 40\end{array}$$