In order to test the wear on four hyperalloys, a test piece of each alloy was extracted from each of the three positions of a test machine. The reduction of weight in milligrams due to wear was determined on each piece, and the data are given in the table below: Use _ _ Y} = 694322 and Table 10.4.1 Loss in Weights Due to Wear Testing of Four Materials (in mg) Position Type of alloy 241 270 274 195 241 218 CO N 235 273 230 234 236 227 o = 0.05 for the questions. 5. (4 pts) Find 1. TotalSS 2. SST 3. SSB 4. SSE. (3 pts) Let o,, i = 1, 2,3,4 be the treatment effect of each group. With a = 0.05, we wish to test for Ho :0 = 0,i = 1,2,3,4, Ha : Ho is wrong. Find 1. F. 2. Fa 3. your decision. (3 pts) Let 8,, i = 1,2, 3 be the block effect of each block. With or = 0.05, we wish to test for Ho : B, = 0,j = 1,2,3, Ha : Ho is wrong. Find 1. F. 2. Fa 3. your decision