The Grade Point Averages of Students Participating in Different Sports $\alpha = 0.05$

Essay

The grade point averages of students participating in different sports at a college are to be compared. The GPAs of students randomly selected from three different groups are listed below. Use the Kruskal-Wallis H-test to test whether the distributions of GPAs differ among the three groups. Be sure to specify the null and alternative hypotheses. Use $\alpha = 0.05$ $$\begin{array} { c | c | c } \text { Tennis } & \text { Golf } & \text { Swimming } \\\hline 3.0 & 1.6 & 2.5 \\2.4 & 1.9 & 2.8 \\2.3 & 3.1 & 2.6 \\3.3 & 1.7 & 2.3 \\2.9 & 2.1 & 2.3 \\1.9 & 1.8 & 2.2\end{array}$$