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(15 points) Here is an ANOVA table from a randomized experiment studying four treatments with n = 3 replicates each. Df Sum Sq Mean Sq F value Pr()F) Treatment 3 80.25 26.75 2. 8919 0. 1021 Residuals 8 74.00 9 . 25 Total 11 154.25 (a) Write down the (fixed) effects model: (b) The estimate of error variance o2 is (c) Let fi be the estimate of Mi, the mean response of treatment i. The variance of / is (d) The estimated standard error of ; is (e) What are the null and alternative hypotheses of interest? (f) Are the treatments significantly different at 5% level? Why? (g) Suppose that this experiment had been conducted in a randomized block design, and that the sum of squares for blocks was 30. Complete the ANOVA table to show the correct analysis for a randomized block design below: Source DF Sum Sq | Mean Sq F Treatment Block 30 Residuals Total