Problem

Refer to Exercise 11.63. The means of all observations, at the factor A levels , respect...

Refer to Exercise 11.63. The means of all observations, at the factor A levels , respectively. Find a 95% confidence interval for the difference in mean response for factor levels A1 and A2.

Reference:

2 ×3 Factorial 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 α = .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 α = .05.

d. Do the data provide sufficient evidence to indicate that factor B affects the response? Test using α = .05.

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