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? $$\begin{array} { c c c }
\hline \text { Scarbarmugh } & \text { Mississauga } & \text { St. Gearge } \
\hline 3.7 & 3.8 & 3.9 \
\hline 3.2 & 3.2 & 2.8 \
3.0 & 3.1 & 3.5 \
2.5 & 3.9 & 3.4 \
2.7 & 3.8 & 2.9 \
3.6 & 2.5 & 3.7
\end{array}$$

Question

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? $$\begin{array} { c c c } 
\hline \text { Scarbarmugh } & \text { Mississauga } & \text { St. Gearge } \
\hline 3.7 & 3.8 & 3.9 \
\hline 3.2 & 3.2 & 2.8 \
3.0 & 3.1 & 3.5 \
2.5 & 3.9 & 3.4 \
2.7 & 3.8 & 2.9 \
3.6 & 2.5 & 3.7
\end{array}$$

Quizplus · Accepted Answer

The Answer is H0: The distributions of GPAs are identical for all three campuses. HA: At least two of the distributions differ from one another. T1= 44.5,T2 = 65.5,T3 = 61 Test statistic: H = 1.430,P-value = 0.4892 Fail to reject the null hypothesis.There is insufficient evidence to suggest a differences between the three campuses.

A Researcher Was Interested in Comparing the GPAs of Students