2. Below are three groups (notice the numbers in B are the same as the y's in problem 1): A: 38, 32, 40, 35, 41 B: 52, 51, 42, 48, 45, 47, 41, 38 C: 49, 42, 45, 37, 40, 41 a) Test at the 6% level of significance to see if the means are all the same. Give the p-value, MSE or sp, and decide if you accept or reject the null hypothesis. b) Use the Bonferroni method to test at the 6% level of significance if first and second groups have the same mean (TA = 37.2, TB = 45.5). Show your work. c) Test at the 5% level of significance to see if the last group is different from the first two on average. Use the contrast with Ho : MC = ( MA + MB) /2