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. In Excel, calculate the appropriate test statistic and P-value.  Let group 1 be Scarborough and group 2 be Mississauga B.Assuming a 5% significance level, what is the appropriate decision for this test and why?  C. Write a one-sentence conclusion statement about the population. What if the data actually weren’t normally distributed and failed the normal population assumption. What statistical test would you conduct instead?

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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. In Excel, calculate the appropriate test statistic and P-value.  Let group 1 be Scarborough and group 2 be Mississauga

B.Assuming a 5% significance level, what is the appropriate decision for this test and why? 

C. Write a one-sentence conclusion statement about the population.

What if the data actually weren’t normally distributed and failed the normal population assumption. What statistical test would you conduct instead?

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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