Question

A college administers a student evaluation questionnaire for all its courses. For a random sample of 12 courses, the accompanying table and the data file Student Evaluation show both the average student ratings of the instructor (on a scale of 1 to 5), and the average expected grades of the students (on a scale of A = 4 to F = 0).
a. Find the sample correlation between instructor ratings and expected grades.1
b. Test, at the 10% significance level, the hypothesis that the population correlation coefficient is zero against the alternative that it is positive.

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