Consider the following data for a two-factor experiment:

Factor A Level 1 Level 2 Level 3 33 30 21 Level 1 31 42 30 35 36 30 Factor B 23 30 21 Level 2 32 27 33 27 25 18

a. Based on the sample data, do factors A and B have significant interaction? State the appropriate null and alternative hypotheses and test using a significance level of 0.05.

b. Based on these sample data, can you conclude that the levels of factor A have equal means? Test using a significance level of 0.05.

c. Do the data indicate that the levels of factor B have different means? Test using a significance level equal to 0.05.