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 =282,SSA =29,SSB =22,SSAB =173.Set up the ANOVA table. (Round your values for mean squares andFto two decimal places, and yourp-valuesto three decimal places.)

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SOURCE* SUIT DEGREES Mean of Variation of SQUARES of Freedom Square* F D - value Factor A Factor E 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. ( Found your answer to two decimal places ." Find the p - value for factor A. [ Round your answer to three decimal places . !" D - value =\\ State your conclusion about factor A. O Because the `- value = = = 0. 05 , factor A is significant . O Because the D-value{ * = 0. 05 , Factor A is not significant . O Because the D - value = = = 0. 05 , factor A is significant . @ Because the D-value = = = 0. 05, factor A is not significant . Find the value of the test statistic for factor E. ( Round your answer to two decimal places . !" Find the - value for factor E. ( Round your answer to three decimal places . ! D -value =\\ State your conclusion about factor E . Because the D -value { * = 0. 05 , factor E is significant . Because the D- value = = = 0. 05 , factor & is not significant . Because the D-value = = = 0. 05, factor E is significant . O Because the D-value = = = 0. 05, factor & is not Significant . Find the value of the test statistic for the interaction between factors A and E . ( Round your answer to two decimal places . " Find the -value for the interaction between factors A and E . ( Found your answer to three decimal places . ) D - value =\\