Question: Consider the following data from a two-factor experiment:
Factor B Level 1 Level 2 Level 3
Level 1 43 25 37
49 26 45
Level 2 50 27 46
53 31 48
a. Determine if there is interaction between factor A and factor B. Use the p-value approach and a significance level of 0.05.
b. Does the average response vary among the levels of factor A? Use the test-statistic approach and a significance level of 0.05.
c. Determine if there are differences in the average response between the levels of factor B. Use the p-value approach and a significance level of 0.05.