Question

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A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.

		Factor B
		Level 1	Level 2	Level 3
Factor A	Level 1	135	94	71
		165	70	89
	Level 2	125	123	124
		95	101	140

Test for any significant main effects and any interaction. Use α = 0.05.

Find the value of the test statistic for factor A. (Round your answer to two decimal places.)

Find the p-value for factor A. (Round your answer to three decimal places.)

p-value =

State your conclusion about factor A.

Because the p-value ≤ α = 0.05, factor A is significant.Because the p-value ≤ α = 0.05, factor A is not significant.    Because the p-value > α = 0.05, factor A is significant.Because the p-value > α = 0.05, factor A is not significant.

Find the value of the test statistic for factor B. (Round your answer to two decimal places.)

Find the p-value for factor B. (Round your answer to three decimal places.)

p-value =

State your conclusion about factor B.

Because the p-value > α = 0.05, factor B is significant.Because the p-value > α = 0.05, factor B is not significant.    Because the p-value ≤ α = 0.05, factor B is not significant.Because the p-value ≤ α = 0.05, factor B is significant.

Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)

Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.)

p-value =

State your conclusion about the interaction between factors A and B.

Because the p-value ≤ α = 0.05, the interaction between factors A and B is not significant.

Because the p-value > α = 0.05, the interaction between factors A and B is not significant.    

Because the p-value > α = 0.05, the interaction between factors A and B is significant.

Because the p-value ≤ α = 0.05, the interaction between factors A and B is significant.

Answer 1