Consider the following data for a two-factor experiment:

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.

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