A researcher was interested in comparing the GPAs of students at the three University of Toronto campuses: Scarborough,Mississauga,and St.George.Independent random samples of students were taken from each campus and their GPAs were recorded.At a significance level of 0.10,does the Kruskal-Wallis test provide evidence of any differences between the campuses in terms of the GPAs? $$\begin{array}{ccc}\text{ Scarbarmugh }& \text{ Mississauga }& \text{ St. Gearge }\\ 3.7& 3.8& 3.9\\ 3.2& 3.2& 2.8\\ 3.0& 3.1& 3.5\\ 2.5& 3.9& 3.4\\ 2.7& 3.8& 2.9\\ 3.6& 2.5& 3.7\end{array}$$

Kruskal-Wallis Test

A non-parametric method for testing whether samples originate from the same distribution, used when the assumptions of a one-way ANOVA are not met.

University Of Toronto

A prestigious public research university located in Toronto, Ontario, Canada, known for its significant contributions to education and research.

GPAs

Grade Point Averages, a measure of a student's academic achievement at a college or university, calculated by averaging the grades of all their courses.