The mathematics department of a large university wishes to evaluate the teaching capabilities of 4 professors. In order to eliminate any effects due to different mathematics courses and different times of the day, it was decided to conduct an experiment using a Latin square design in which the letters A, B, C, and D represent the 4 different professors. Each professor taught one section of each of 4 different courses scheduled at each of 4 different times during the day. The following data show the grades assigned by these professors to 16 students of approximately equal ability. Use a 0.05 level of significance to test the hypothesis that different professors have no effect on thegrades.

Transcribed Image Text:

Course Time Algebra Geometry Statistics Calculus A: 84 B: 91 C: 63 D: 80 A: 77 D: 97 B: 79 C: 82 D: 70 A: 91 3 C:59 D: 75 B: 80 C: 68 B: 75