At many colleges and universities calculus III is considered a “weed out” course; a course which a lot of ...

      At many colleges and universities calculus III is considered a   “weed out” course; a course which a lot of students drop and rethink their   major in doing so. I would like us to see if the number of students who   withdraw, pass or fail the class is independent of the instructor. The   following table gives the results from SMU classes from fall 2010-fall   2011.     YZ YC RD JT DR   Withdraw 20 4 1 5 0   F/D 7 20 0 0 6   A/B/C 111 122 56 30 36           a. Test to   see if the grading groups are independent of professor     b. Combine   the Withdraw/F/D into one group and see if the percent of students who   successfully pass the class (A/B/C) is the same for all 5 professors.    c. If you   found a significant difference in part b, do pairwise comparisons of the   teachers (estimate p1 – p2) to find out which professors are significantly   different from the others