Use the sample data given in Exercise 1 and test the claim that evaluation ratings of female professors have the same median as evaluation ratings of male professors. Use a 0.05 significance level.

Data From Exercise 1:

Example 1 in this section used samples of course evaluations, and the table below lists student evaluations of female professors and male professors (from Data Set 17 “Course Evaluations” in Appendix B). Are the requirements for using the Wilcoxon rank-sum test satisfied? Why or why not?

Example 1:

The numbers 4, 5, 5, 5, 10, 11, 12, and 12 are given ranks of 1, 3, 3, 3, 5, 6, 7.5, and 7.5, respectively. The table below illustrates the procedure for handling ties.

Data Set 17: Course Evaluations

Data are from 93 college student course evaluations (first five rows shown here). COURSE EVAL includes the mean course rating, PROF EVAL includes the mean professor rating, PROF AGE includes the professor age in years, SIZE includes the number of course evaluations per course, PROF BEAUTY includes the mean beauty rating based on the professor’s photo.

Based on data from Andrew Gelman and Jennifer Hill, 2007, “Replication Data for Data Analysis Using Regression Multilevel> Hierarchical Models,” http://hdl.handle.net>1902.1>10285.