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# Statistical Problem Assistance: Difference in the Mean

Professor Brunner had students in his Marketing class rate his performance as Excellent, Good, Fair, or Poor. A graduate student collected the ratings and assured the students that Professor Brunner would not receive them until after the course grades had been submitted. The rating (the treatment) a student gave the professor was matched with his/her course grade, which could range from 0 to 100. the data is as follows:

Excellent Good Fair Poor
94 75 70 68
90 68 73 70
85 77 76 72
80 83 78 65
88 80 74
68 65
65

Is there a difference in the mean scores of the students in each of the four rating categories at a 99% confidence level?

#### Solution Preview

Solution. We can set up the following hypotheses.

H0: there is NO difference in the mean scores of the students in each of the four rating categories;

H1: there is a difference in the mean scores of the students in each of the four rating categories.

Use Excel, we can ...

#### Solution Summary

This solution calculates whether there is a difference in the mean scores of students in different categories at a 99% confidence level.

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