A Researcher Was Interested in Comparing the GPAs of Students

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. $$\begin{array} { c | c c } \text { Scarborough } & \text { Mississauga } \\\hline 3.7 & 3.8 & 2.8 \\3.2 & 3.2 & 4.0 \\3.0 & 3.0 & 3.6 \\2.5 & 3.9 & 2.6 \\2.7 & 3.8 & 4.0 \\3.6 & 2.5 & 3.6 \\2.8 & 3.9 & \\3.4 & &\end{array}$$ Determine a 95% confidence interval for the difference, $\mu _ { 1 } - \mu _ { 2 } ,$ between the mean GPA of all students at the Scarborough campus and the mean GPA of all students at the Mississauga campus.

A) (-0.70,0.05)
B) (-0.81,0.15)
C) (-0.75,0.10)
D) (-0.13,0.78)
E) (-0.78,0.13)

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