QUESTION 7 The operations manager for an appliance manufacturer wants to determi

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QUESTION 7 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 (ABCD) and four levels of washing cycles (18, 20, 22, and 24 minutes) are specifically selected for analysis, 32 standard household laundry loads (having equal weight and dirt) are randomly assigned to the 16 detergent-washing cycle time combinations. The results (in pounds of dirt removed) are: Washing Cycle Time (in Minutes) Brand 18 0.11 0,09 0.12 0.1 0.08 0.09 20 24 0.17 0.18 0.19 0.17 02 0.16 0.15 0.17 0.19 0.14 0.15 0.16 0.13 0.12 0.13 0.18 0.16 0.13 Perform a Two-way Analysis of Variance with Replication in Excel and output the ANOVA table assuming a 5% level of significance. Is there an interaction between detergent brand and washing cycle time? Why or why not? There is no interaction between detergent brand and washing cycle time since the walue(02351 18) is greater than the 5% level of significance. There is an interaction between detergent brand and washing cycle time since the p alue (1.5E-09) is less than the 5% level of significance. 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 F-critical value of 2.99612. 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 3008787

Explanation / Answer

here as p value for interaction 0.235118 is not less than 0.05 ; correct option is "

there is no interaction between detergent brand and washing cycle time since the p value (0.235118) is greater than the 5% level of significance,

=Source of Variation SS df MS F P-value F crit Brand 0.000413 3 0.000138 0.785714 0.5192444602 3.238872 washing cycle time 0.027338 3 0.009113 52.07143 0.0000000178 3.238872 Interaction 0.002337 9 0.00026 1.484127 0.2351179537 2.537667 Within 0.0028 16 0.000175 Total 0.032888 31

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