11.61 2 x 3 Factorial The analysis of variance table for a 2 3 factorial experiment, factor A at two levels and factor B at three levels, with five observa- tions 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 = 0.05. 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 = 0.05.

d. Do the data provide sufficient evidence to indicate that factor B affects the response? Test using = 0.05.

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Source df SS MS F AB 1.14 B 2.58 AB 0.49 Error Total 8.41