Four professors teach Statistics at your university in classes of about 85 students each, and you need to choose a good one. You can check them out on Ratemyprofessors.com, but some professors don’t receive many ratings and you’d prefer a larger sample of opinions. And although your university publishes teaching evaluations given by students in previous years, it publishes only the average evaluation without showing the standard deviation. You know that students have very different opinions about Statistics professors, and you want to take that into account! Your student association therefore conducts its own survey and publishes the rating given by each student for each professor who taught last year on a scale of zero to five. The results for those students who filled out the online questionnaire are given in the file ch15_MCSP_StatsProfs. Your friend analyzes the results and finds that Prof A has a larger number of evaluations, a higher average rating, and a lower standard deviation than any of the other professors. “I’m going to register with Prof A,” she says. Use ANOVA to check out whether she’s right. Which professor would you choose?