In: Statistics and Probability
Imagine you and your 10 study group partners are interested in
whether all those hours you spent together working on statistics
problems for midterm exam 2 actually
helped your group’s performance on that exam relative to its
performance on the first midterm exam. Suppose the first and second
midterm grades were as follows:
Midterm 1 Midterm 2
Homer 25 28
Marg 20 19
Bart 15 21
Lisa 16 25
Maggie 30 30
Apu 20 22
Eddie 19 19
Krusty 5 0
Itchy 29 30
Scratchy 29 28
You 24 30
Is there sufficient evidence (at α = .05) to
conclude that the group performed better
on midterm 2? Please provide all your
calculations
From the above information,
We perform paired t test
Null hypothesis:-
difference between the average of the After midterm Before and μ0 is not big enough to be statistically significant.
By using minitab statistical software
Decision:-
P-value=0.920 > level of significance (0.05)
Accept null hypothesis.
Conclusion:-
Hence there is no sufficient evidence to conclude that the group performed better on midterm 2.
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