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 = 284, SSA - 28, SSB - 22, SSAB = 178. 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 Degrees of Freedom Мean p-value of Squares Square Factor A Factor B Interaction Error Total Test for any significant 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. Because the p-value >- 0.05, factor A is significant. Because the p-valuesa-0.05, factor A is not significant. Because the p-value >- 0.05, factor A is not significant. Because the p-value sa-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.) Pvalue State your conclusion about factor B. Because the p-value se- 0.05, factor B is not significant. Because the p-value se- 0.05, factor B is significant. Because the p-value >-0.05, factor B is not significant. Because the p-value >-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.) Pvalue State your conclusion about the interaction between factors A and B. Because the p-value sa- 0.05, the interaction between factors A and Bis significant. Because the p-value >-0.05, the interaction between factors A and B is significant. Because the p-value >-0.05, the interaction between factors A and B is not significant. Because the p-value se-0.05, the interaction between factors A and B is not significant.