# Statistics that a Professor Teaches are not Performing at the Same Level or Not

Question

A professor is concerned that the two sections of statistics that she teaches are not performing at the same level. To test her claim, she looks at the mean exam score for a random sample of students from each of her classes. In class 1, the mean exam score for 12 students is 78.7 with a standard deviation of 6.5. In class 2, the mean exam score for 15 students is 81.1 with a standard deviation of 7.4. Test the professor’s claim at the 0.05 level of significance. Assume the population variances are equal.

Summary: This question belongs to statistics and discusses about two sections of statistics that a professor teaches are not performing at the same level and to test this claim whether accepted or rejected.

Total word count: 455

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