Interactive Statistics Q.4.12

4.12 As part of standard course evaluation, students are asked to rate the course as either poor, good, or excellent. The course evaluation form also asks students to indicate whether the course taken was a required part of their academic program or was taken as an elective. The data are summarized in the following table. Rating Poor Good Excellent 16 38 16 Reason Required Elective 4 10 16 (a) Explain what the value of 4 in the preceding table represents. (b) Give the conditional distribution of course rating given the reason for taking the course. (c) Briefly describe your results in part (b)-that is, comment on how the distribution of course rating by students for whom the course is required compares to the distribution of course rating by students for whom the course is an elective