You may need to use the appropriate technology to answer this question. 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 = 272, SSA = 27, $55 = 21, SSAB = 171. Set up the ANOVA table. (Round your values for mean squares and Fto two decimal places, and your p-values to three decimal places.) Source Sum Degrees Mean _ of Variation of Squares of Freedom Square F P value Factor A Factor B Interaction Error Tota | Test for any signicant main effects and any interaction effect. Use a = 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. 0 Because the p-value S a = 0.05, factor A is significant. 0 Because the p-value s a = 0.05, factor A is not significant. 0 Because the p-value > a = 0.05, factor A is not significant. 0 Because the p-value > a = 0.05, factor A is 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. 0 Because the p-value > a = 0.05, factor B is not significant. 0 Because the p-value S a = 0.05, factor B is not significant. 0 Because the p-value > a = 0.05, factor B is signicant. 0 Because the p-value S a = 0.05, factor B is signicant. Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.) |:l Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.) State your conclusion about the interaction between factors A and B. 0 Because the p-value S a = 0.05, the interaction between factors A and B is significant. 0 Because the p-value > a = 0.05, the interaction between factors A and B is not significant. 0 Because the p-value s a = 0.05, the interaction between factors A and B is not significant. 0 Because the p-value > a = 0.05, the interaction between factors A and B is significant