please answer the question

A computer software rm was interested in studying the difculties encountered in forecasting the programmer requirements for large-scale programming projects. 24 programmers, classied into equal groups by years of experience (factor A) and type of experience (factor B), were asked to predict the number of programmer-days required to complete a large project about to be initiated. After the project was completed, the prediction errors were determined. The data are listed below. .., Note that SSA 2 36412.00, SSB 2 39447.04, SSAB 2 20165.33 and SSTO = 97574625. a. Suppose that a two-way model with interaction terms is used to test the effect of the factors A and B. Set up the appropriate hypotheses and give the ANOVA table. Test at or = 0.05. b. Use the Tukey method to obtain condence intervals for all pairwise comparisons of the means of the prediction errors for dierent years of experience. Is there any difference among the three levels of factor A? Use a = 0.05 and Q(cc, k, v) = 4.34. c. Construct a 95% condence interval for the difference between the average of the mean errors of Al & A3 and that of A2. d. A statistician who reviewed the above results suggested that a randomized blocks model with the type of experience (B) as a blocking factor should be used instead. i. Briey describe the difference between a randomized blocks model and a two-way ANOVA model. ii. Conduct the analysis again using a randomized blocks model. State the hypotheses and the corresponding AN OVA table