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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:

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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 = 280, SSA = 26, SSB = 22, SSAB = 179. 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 VariationSum of SquaresDegrees of FreedomMean SquareFp - value
Factor A__________________________________________________
Factor B__________________________________________________
Interaction__________________________________________________
Error______________________________
Total____________________

Test for any significant main effects and any interaction effect. Use ? = 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:

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O Because the p-value >

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