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The calculations for a factorial experiment involving four levels of factor A, three levels of factor...

The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 284, SSA = 29, SSB = 24, SSAB = 176. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal places.)

Source
of Variation		 Sum
of Squares		 Degrees
of Freedom		 Mean
Square		 F p-value
Factor A
Factor B
Interaction
Error
Total

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

a) 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 =

b) 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 =

c) 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 =

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