[15 total pl:(s)] A two-way analysis of variance model with interaction was fit. Factor A had 3 levels, Factor B had 3 levels, and there were 3 replicates for each combination of Factors A and B. The sum of squares for interaction (SSAB) was 20 and the sum of squares for error (SSE) was 72. (a) In the population, what is the model that you are trying to fit? 0 yak = u+ai+/3]'+(a)6),-j+etjk 0 951k = \"+ai+j+zjk O Uzjk : +ai+3j+zjk O yijk = n+ai+3j [1 Pt(S)] Submit Answer Tries 0/1 (b) You want to test the null hypothesis of no interaction between Factor A and Factor B at level a = 0.06 (six percent). What is the value of the appropriate test statistic? Round your answer to 2 digits to the right of the decimal. [1 pl:(s)] Submit Answer Tries 0/3 (c) What is the p-value associated with this test statistic? Use the appropriate table posted on CAPA. Use the exact values from the table, but if your test- statistic does not fall within one of the ranges shown on the table, use the lower and upper bounds of a probability. Lower Bound: [0.5 pt(s)] W Tries 0/2 Upper Bound: [0.5 pt(s)] Submit Answer Tries 0/2 (d) What do you conclude at a = 0.06 (six percent)? 0 Do not Reject the Null. There is no interaction between Factors A and B. 0 Do not Reject the Null. There is a signicant interaction between Factors A and B. O Reject the Null. There is no interaction between Factors A and B. O Reject the Null. There is a significant interaction between Factors A and B. 0 Accept the Null. There is a significant interaction between Factors A and B. 0 Accept the Null. There is no interaction between Factors A and B. [1 Pt(5)] Submit Answer Tries 0/1 _ /\\ (e) Suppose that y = 60, 51 = 4.4, &2 = 7.2, Bl = -3.7 and (0,6)11 = -1.33. :7,- denotes the estimate of the effect of level iof factor A, 31' denotes the estimate of the effect of levelj of factor B, and (01,8),j is the estimated term associated with the interaction of level iof factor A and level j of factor B. What is the value of 1111 under the model with interaction? Round your answer to 2 digits to the right of the decimal. [1 pt(s)] Tries 0/3 (f) With the same values used in part (e), what is the value of 93\" corresponding to level 3 of factor A? Enter 2 digits to the right of the decimal point. Round your answer to 2 digits to the right of the decimal. [2 pt(s)] Submit Answer Tries 0/3 (g) The model above was t with interaction. What would be the error degrees of freedom, the error sum of square (SSE) and the error mean square (MSE) if you were to fit the additive model without interaction to the same data? Round your answers for SSE and MSE to 2 digits to the right of the decimal. Degrees of Freedom: [1 pt(s)] Submit Answer Tries 0/2 Submit Answer Tries 0/2 Submit Answer Tries 0/2 (h) Assume that in the model with interaction the main effect for Factor A was significant (p-value