(a) In the population, what is the model that you are trying to fit? • Y i j k = μ + α i + B j + (α ß) i j +€ i j k ○ Y i j k = μ + α i + B j + E i j k ○ Y i j k = π +α i + B; ○ijk = +ai + B j + € i j k (e) Suppose that = 70, ✯1 = 4.2, A2 = 6.4, B₁ = -4.7 and (αß) 11 ¯ =-2.33. * denotes the estimate of the effect of level i of factor A, B, denotes the estimate of the effect of level j of factor B, and (ap); is the estimated term associated with the interaction of level of factor A and level j of factor B. What is the value of 11 the decimal. under the model with interaction? Round your answer to 2 digits to the right of [1 pt(s)] (h) Assume that in the model with interaction the main effect for Factor A was significant (p-value < 0.06) and the main effect for Factor B was also significant (p-value < 0.06), but the interaction was not significant. 1 = 4.2 and 2 = 6.4. You are interested in testing if there is a significant difference between 1 and 2. In your calculations, use the MSE from the model with interaction. See parts (a) and (b). What is the absolute value of the test statistic that will allow comparing 1 to 2? Round your answer to 2 digits to the right of the decimal. [2 pt(s)]