Please use hand writing

(15 points) Here is an ANOVA table from a randomized experiment studying four treatments with a = 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 (xed) eects model: (b) The estimate of error variance 0'2 is ('3) l ) Let g be the estimate of m, the mean response of treatment 1'. The variance of ft; is (d (e What are the null and alternative hypotheses of interest? The estimated standard error of [361' is (f) Are the treatments signicantly 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: Treatment Block Residuals l Total l l