A researcher was interested in comparing the mean grade-point-average (GPA) 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. You can assume the data in each group follow a normal distribution. Do the data provide sufficient evidence to conclude that the mean GPA of students at the Scarborough campus different from the mean GPA of students at the Mississauga campus? A. What statistical test is most appropriate to answer this question? B. Identify the relevant assumptions and conditions. State how these have or have not been met. C. Write an appropriate null and alternative hypothesis for this question.

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A researcher was interested in comparing the mean grade-point-average (GPA) 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. You can assume the data in each group follow a normal distribution. Do the data provide sufficient evidence to conclude that the mean GPA of students at the Scarborough campus different from the mean GPA of students at the Mississauga campus?

A. What statistical test is most appropriate to answer this question?

B. Identify the relevant assumptions and conditions. State how these have or have not been met.

C. Write an appropriate null and alternative hypothesis for this question.

Scarborough
3.7
3.2
3.0
2.5
2.7
3.6
2.8
3.4
Mississauga
3.8 2.8
3.2 4.0
3.0 3.6
3.9 2.6
3.8 4.0
2.5 3.6
3.9
Scarborough
y-bar1 = 3.113
s1=0.436
Mississauga
y-bar2 = 3.438
s2=0.549
Transcribed Image Text:Scarborough 3.7 3.2 3.0 2.5 2.7 3.6 2.8 3.4 Mississauga 3.8 2.8 3.2 4.0 3.0 3.6 3.9 2.6 3.8 4.0 2.5 3.6 3.9 Scarborough y-bar1 = 3.113 s1=0.436 Mississauga y-bar2 = 3.438 s2=0.549
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