Problem 2. (25 points). Suppose the same setting as in Problem 1 and assume that the experimenter no longer requires to consider factor B. thus she will project this factor out. a. (10 points). Obtain the model matrix for this new projected out design. This matrix should have: A column for the combinations, a column with the sign of each factor/interaction on each combination, and, for each replication, a column for the corresponding value of the response variable. b. (10 points). Complete the ANOVA table for the resulting replicated 22 experiment. c. (5 points). What are the significant factors/interactions with an overall significance of a = 0.05? Are there differences with the conclusions of Problem 1e.? Problem 2. (25 points). Suppose the same setting as in Problem 1 and assume that the experimenter no longer requires to consider factor B. thus she will project this factor out. a. (10 points). Obtain the model matrix for this new projected out design. This matrix should have: A column for the combinations, a column with the sign of each factor/interaction on each combination, and, for each replication, a column for the corresponding value of the response variable. b. (10 points). Complete the ANOVA table for the resulting replicated 22 experiment. c. (5 points). What are the significant factors/interactions with an overall significance of a = 0.05? Are there differences with the conclusions of Problem 1e