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

Essay

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.
-The grade point averages of students participating in different sports at a college are to be compared. The data
are listed below. Use the Kruskal-Wallis test to test the claim that there is a difference in the distribution of the
GPAs of the three different sports groups. Use $$\alpha = 0.05 .$$ $$\begin{array} { c | c | c } \text { Tennis } & \text { Golf } & \text { Swimming } \\\hline 3.6 & 2.2 & 3.1 \\3 & 2.5 & 3.4 \\2.9 & 3.7 & 3.2 \\3.9 & 2.3 & 2.9 \\3.5 & 2.7 & 2.9 \\2.5 & 2.4 & 2.8\end{array}$$