A Researcher Was Interested in Comparing the GPAs of Students

Essay

A researcher was interested in comparing the GPAs of students at the University of Toronto Scarborough and Mississauga campuses.Independent random samples of 8 students from the Scarborough campus and 13 students from the Mississauga campus yielded the following GPAs. $$\begin{array} { c | c c } \text { Scarborough } & \text { Mississauga } \\\hline 3.7 & 3.8 & 2.8 \\3.2 & 3.2 & 4.0 \\3.0 & 3.0 & 3.6 \\2.5 & 3.9 & 2.6 \\2.7 & 3.8 & 4.0 \\3.6 & 2.5 & 3.6 \\2.8 & 3.9 & \\3.4 & &\end{array}$$ Do the data provide sufficient evidence to conclude that the mean GPA of students at the Scarborough campus differs from the mean GPA of students at the Mississauga campus? Perform a t-test at the 10% significance level.