e. Test whether or not the two factors interact: use o = .05. State the alter- natives, decision rule. and conclusion. What is the P-value of the test? f. Explain how you would make the assignments of volunteers to treatments in this study. Make all appropriate randomization. g. Estimate /2 with a 95 percent confidence interval. Interpret your interval estimate. h. Estimate D = /12 - An with a 95 percent confidence interval. Interpret your interval estimate. i. The analyst decided to study the nature of the interacting factor effects by means of the following contrasts: L=! /412 + #13 LA = L2 - LI 2 I2 = /422 + 1423 La = L3 - LI 2 La = #32 + /33 LA = L3 - L2 2 #31, Obtain confidence intervals for these contrasts; use the Scheffe's multiple comparison procedure with a 90 percent family confidence coefficient. In- terpret your findings. j. The analyst also wished to identify the treatment(s) yielding the longest mean relief. Using the Tukey testing procedure with family significance level o = .1, identify the treatment(s) providing the longest mean relief