Five sections of the same elementary mathematics course are taught by 5 different teachers.

Teacher 1 Teacher 2 Teacher 3 Teacher 4 Teacher 5

Group Sample Size n_i 12 15 13 10 11

Group Meanx_{i. 68.08 71.40 64.46 74.70 77.36}

Group Variance s^{2 343.90 327.97 414.60 127.57 121.05}

i

(a)Use the Tukey method to test all pairwise contrasts. Consider = 0.01.

(b)Without any computation, what would be the result of a F ratio test for the

equality of means?