?Are Male Professors and Female Professors Rated Differently?a. Use a 0.05 significance

Chapter 9, Problem 13

(choose chapter or problem)

Are Male Professors and Female Professors Rated Differently?

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, \(\bar{x}=3.79\), s = 0.51; male professors: n = 53, \(\bar{x}=4.01\), 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?

Text Transcription:

\barx=3.79

\barx=4.01