2. A single factor experiment was performed for 4 levels of the factor with 8 replicates. It was found that 71. = 15, 02 = 11, 1 = 13, g. = 18 and MSF = 4. First, Consider the following two contrasts: In = fri - /2 and I'm = pa - /4. a) Are these contrasts orthogonal and why? b) If they are orthogonal, construct a third contrast orthogonal to both of them. c) Use Scheffe's method to test the hypothesis I's = 0 at a = 0.05 d) Suppose a Dunnett's two-sided test for all pairwise mean comparisons with a control is performed, with the level 1 acting as the control. Which means would be pronounced significantly different from the control at a = 0.05