3. Consider the following data on five groups. a. Test if there is a significant difference in the mean of the groups with 5% level of significance. (SAS only) b. Assume that we want to see the contrasts. Do the contrast tests to compare the mean for the first three groups with the last two and for the first two with the third by hands. Group 1 8.706 10.362 11.552 6.941 10.983 10.092 6.421 14.943 Group 2 15.931 22.968 18.590 16.567 15.944 Group 3 21.637 14.492 17.965 18.851 22.891 22.028 16.884 17.252 Group 4 18.325 25.435 19.141 21.238 22.196 18.038 22.628 Group 5 31.163 26.053 24.419 32.145 28.966 30.207 29.142 33.212 25.694 3. Consider the following data on five groups. a. Test if there is a significant difference in the mean of the groups with 5% level of significance. (SAS only) b. Assume that we want to see the contrasts. Do the contrast tests to compare the mean for the first three groups with the last two and for the first two with the third by hands. Group 1 8.706 10.362 11.552 6.941 10.983 10.092 6.421 14.943 Group 2 15.931 22.968 18.590 16.567 15.944 Group 3 21.637 14.492 17.965 18.851 22.891 22.028 16.884 17.252 Group 4 18.325 25.435 19.141 21.238 22.196 18.038 22.628 Group 5 31.163 26.053 24.419 32.145 28.966 30.207 29.142 33.212 25.694