The operations manager for an appliance manufacturer wants to determine the optimal length of time for the washing cycle of a household clothes washer. An experiment is designed to measure the effect of detergent brand and washing cycle time on the amount of dirt removed from standard household laundry loads. Four brands of detergent (A,B,C ,D) and four levels of washing cycles (18, 20, 22, and 24 minutes) are specically selected for analysis. 32 standard household laundry loads (having equal weight and dirt) are randomly assigned to the 16 detergentwashing cycle time combinations. The results (in pounds of dirt removed) are: Washing Cycle Time (in Minutes) 22 24 0.09 .10.19 0.18 0.08 0.16 0.18 0.2 0.09 0.13 0.17 0.16 0.11 0.16 0.15 Perform a Twoway Analysis of Variance with Replication in Excel and output the ANOVA table assuming a 5% level of signicance. Is there a signicant interaction between detergent brand and washing cycle time? Why or why not? 0 There is no interaction between detergent brand and washing cycle time since the pvalue(0.235118) is greater than the 5% level of signicance. 0 There is an interaction between detergent brand and washing cycle time since the pvalue (1.5E09) is less than the 5% level of signicance. 0 There is no interaction between detergent brand and washing cycle time since the F test statistic does not fall in the rejection region with an Fcritical value of 2.99612. 0 There is an interaction between detergent brand and washing cycle time since the F test statistic falls in the rejection region with an F-critical value of 3.008787