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 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 20 22 24 A 0.11 0.13 0.17 0.17 0.09 0.13 0.19 0.18 B 0.12 0.14 0.17 0.19 0.1 0.15 0.18 0.17 0.08 0.16 0.18 0.2 0.09 0.13 0.17 0.16 D 0.11 0.12 0.16 0.15 0.13 0.13 0.17 0.17 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 effect due to washing cycle times? Why or why not? Support your answer by using the pvalue. O No, there is not an effect due to washing cycle time, pvalue = 0.519244 so the Null Hypothesis is not rejected. O Yes, there is not an effect due to washing cycle time, pvalue = 0.519244 so the Null Hypothesis is rejected. O No, there is not an effect due to washing cycle time, pvalue = 0.0000000178 so the Null Hypothesis is not rejected. O Yes, there is an effect due to washing cycle time, pvalue = 0.0000000178 so the Null Hypothesis is rejected.

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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
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
20
22
24
A
0.11
0.13
0.17
0.17
0.09
0.13
0.19
0.18
B
0.12
0.14
0.17
0.19
0.1
0.15
0.18
0.17
0.08
0.16
0.18
0.2
0.09
0.13
0.17
0.16
D
0.11
0.12
0.16
0.15
0.13
0.13
0.17
0.17
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 effect due to washing cycle times? Why or
why not? Support your answer by using the pvalue.
O No, there is not an effect due to washing cycle time, pvalue = 0.519244 so the Null Hypothesis is not rejected.
O Yes, there is not an effect due to washing cycle time, pvalue = 0.519244 so the Null Hypothesis is rejected.
O No, there is not an effect due to washing cycle time, pvalue = 0.0000000178 so the Null Hypothesis is not rejected.
O Yes, there is an effect due to washing cycle time, pvalue = 0.0000000178 so the Null Hypothesis is rejected.
Transcribed Image Text: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 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 20 22 24 A 0.11 0.13 0.17 0.17 0.09 0.13 0.19 0.18 B 0.12 0.14 0.17 0.19 0.1 0.15 0.18 0.17 0.08 0.16 0.18 0.2 0.09 0.13 0.17 0.16 D 0.11 0.12 0.16 0.15 0.13 0.13 0.17 0.17 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 effect due to washing cycle times? Why or why not? Support your answer by using the pvalue. O No, there is not an effect due to washing cycle time, pvalue = 0.519244 so the Null Hypothesis is not rejected. O Yes, there is not an effect due to washing cycle time, pvalue = 0.519244 so the Null Hypothesis is rejected. O No, there is not an effect due to washing cycle time, pvalue = 0.0000000178 so the Null Hypothesis is not rejected. O Yes, there is an effect due to washing cycle time, pvalue = 0.0000000178 so the Null Hypothesis is rejected.
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