5.46 Student performance across discussion sections. A professor who teaches a l

Question

5.46     Student performance across discussion sections. A professor who teaches a large introductory statistics class (197 students) with eight discussion sections would like to test if student performance differs by discussion section, where each discussion section has a different teaching assistant. The summary table below shows the average final exam score for each discussion section as well as the standard deviation of scores and the number of students in each section.

The ANOVA output below can be used to test for differences between the average scores from the different discussion sections.

Conduct a hypothesis test to determine if these data provide convincing evidence that the average score varies across some (or all) groups. Check conditions and describe any assumptions you must make to proceed with the test.

Explanation / Answer

H0: average score of all groups are same

H1: average score varies across some (or all) groups

Test statistic = 1.87

Numerator degree of freedom = 7

Denominator degree of freedom = 189

So P-value is 0.0766

Pr(>F) = 0.0766

Since P-value > 0.05 hence we fail to reject H0

These data does not provide convincing evidence that the average score varies across some (or all) groups.

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