Problem

Refer to Exercise 11.46. The means of two of the factor level combinations—say, = 6.3,...

Refer to Exercise 11.46. The means of two of the factor level combinations—say, = 6.3, respectively. Find a 95% confidence interval for the difference between the two corresponding population means.

Reference:

The analysis of variance table for a 3 × 4 factorial experiment, with factor A at three levels and factor B at four levels, and with two observations per treatment, is shown here:

a. Fill in the missing items in the table.

b. Do the data provide sufficient evidence to indicate that factors A and B interact? Test using α = .05. What are the practical implications of your answer?

c. Do the data provide sufficient evidence to indicate that factors A and B affect the response variable x? Explain.

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