We wish to estimate the difference between the mean scores on a standardized test of students taught
Question:
a. Assuming that the sample size is the same for each instructor’s class, how large a sample should be taken from each class to estimate the difference between the mean scores of the two populations to within 5 points with 90% confidence?
b. Suppose that samples of the size computed in part a will be selected in order to test for the difference between the two population mean scores using a .05 level of significance. How large does the difference between the two samples means have to be for you to conclude that the two population means are different?
c. Explain why a paired-samples design would be inappropriate for comparing the scores of Instructor A versus Instructor B.
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