The analysis of variance for a 2 × 3 factorial experiment, factor A at two levels and factor B at three levels, with five observations per treatment, is shown in the table.

a. Do the data provide sufficient evidence to indicate an interaction between factors A and B? Test using a = .05. What are the practical implications of your answer?
b. Give the approximate p-value for the test in part a.
c. Do the data provide sufficient evidence to indicate that factor A affects the response? Test using a = .05.
d. Do the data provide sufficient evidence to indicate that factor B affects the response? Test using a = .05.

Source df SS MS F 1.14 2.58 49 AB Error Total 8.41