Group 1 2 3 4 112 111 140 101 92 129 121 116 124 102 130 105 89 136 106 126 97 99 119 Twenty students were randomly separated into four equal groups, and each group was taught a mathematical concept using a different teaching method. At the end of the teaching period, progress was measured by a test. The scores are shown below (one student in Group 3 was absent on the day that the test was conducted). Analysis of Variance Source DF Adj SS Adj MS FValue Factor v1 SSA 350.9 1.76 Error v2 SSE 199.9 Total v3 SST The Minitab output for the above data is as given above. Assume all assumptions of ANOVA are met, answer the following questions. a.State 2 assumptions that must hold true to apply the one-way AN OVA procedure to test the hypotheses. (2 MARKS) b.Show using the data given in the table above that SSA is 1053. (3 MARKS) 0. Do the data present enough evidence to indicate a difference in the average test scores for all the four teaching methods? . Test using a = 0.05. (4 MARKS)