a. Use a 0.05 significance level to test the claim that two samples of course evaluation scores are from populations with the same mean. Use these summary statistics: Female professors:

n = 40, x̅ = 3.79, s = 0.51; male professors: n = 53, x̅ = 4.01, s = 0.53. (Using the raw data in Data Set 17 “Course Evaluations” will yield different results.)

b. Using the summary statistics given in part (a), construct a 95% confidence interval estimate of the difference between the mean course evaluation score for female professors and male professors.

c. Example 1 used similar sample data with samples of size 12 and 15, and Example 1 led to the conclusion that there is not sufficient evidence to warrant rejection of the null hypothesis. Do the larger samples in this exercise affect the results much?

PROF COURSE EVAL PROF EVAL PROF GENDER PROF AGE SIZE PROF BEAUTY PROF PHOTO CLASS LEVEL upper 24 2 4.3 4.5 3.7 4.3 4.4 4.7 4.6 4.1 4.5 4.8 3.000 3.333 3.167 7.333 color color color color 17 upper 40 40 42 female