Consider the given partially completed two-factor analysis of variance table, where factor A has Source of Variation SS df MS F four levels and factor B has three levels. The number of replications was 11 in each cell. Complete Factor A 332.5 3 parts a through d. Factor B 126.15 AB Interaction 1, 146.3 6 Error 243.5 Total 1,974.6 131 a. Complete the analysis of variance table. Source of Variation SS df MS Factor A 332.5 3 4 Factor B 2 3 126.15 AB Interaction 1, 146.3 6 4 Error 243.5 Total 1,974.6 131 (Type integers or decimals rounded to two decimal places as needed.) b. Based on the sample data, can you conclude that the two factors have significant interaction? Test using a significance level equal to 0.01. Identify the null and alternative hypotheses. O A. Ho: Factors A and B do interact to affect the mean response. HA: Factors A and B do not interact to affect the mean response. O B. Ho: Factors A and B do not interact to affect the mean response. HA: Factors A and B do interact to affect the mean response. O C. Ho: Not all factor A and factor B means are equal. HA HA1 = HA2 = HA3 = HA4 = HB1 = HB2 = HB3 O D. Ho: HA1 = HA2 = HA3 = HA4 = HB1 = HB2 = HB3Find the test statistic F. F =(Round to two decimal places as needed.) The p-value is 0.000. Choose the correct conclusion below at the 5% level. O A. Do not reject Ho. There is insufficient evidence that not all factor A and factor B means are equal. O B. Reject Ho. There is sufficient evidence that factors A and B do interact. O C. Reject Ho. There is insufficient evidence that factors A and B do interact. O D. Do not reject Ho. There is sufficient evidence that factors A and B do interact.c. Based on the sample data, should you conclude that the means for factor A differ across the four levels or the means for factor B differ across the three levels? Discuss. What test can be performed with the data provided? O A. Test the levels of factor A using only one level of factor B, and vice versa, because interaction is present. O B. Test the levels of factor A using only one level of factor B, and vice versa, because interaction is not present. O C. Test factor A and factor B because interaction is not present. O D. Test factor A and factor B because interaction is present. O E. No test can be performed because interaction is present and sufficient data has not been given to test the levels of one of the factors using only one level of the other factor