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):Brand18202224A0.110.130.170.17A0.090.130.190.18B0.120.140.170.19B0.10.150.180.17C0.080.160.180.2C0.090.130.170.16D0.110.120.160.15D0.130.130.170.17 PART 1: Output the table from Excel, copy and paste the table into your word document.PART 2: Is there an interaction between detergent brand and washing cycle time? Why or why not – use the pvalue to support?PART 3: Is there an effect due to detergent brand? Why or why not – use the pvalue to support?PART 4: Is there an effect due to washing cycle time? Why or why not – use the pvalue to support?PART 5:Which washing cycle times show significantly different results (at alpha = 0.05) in the pounds of dirt removed? Perform Fisher’s LSD. Make sure to include your critical value, LSD, and the mean differences of each pair to support your results. Then state which washing cycles times are significantly different.

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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
A	0.09	0.13	0.19	0.18
B	0.12	0.14	0.17	0.19
B	0.1	0.15	0.18	0.17
C	0.08	0.16	0.18	0.2
C	0.09	0.13	0.17	0.16
D	0.11	0.12	0.16	0.15
D	0.13	0.13	0.17	0.17

PART 1: Output the table from Excel, copy and paste the table into your word document.
PART 2: Is there an interaction between detergent brand and washing cycle time? Why or why not – use the pvalue to support?
PART 3: Is there an effect due to detergent brand? Why or why not – use the pvalue to support?
PART 4: Is there an effect due to washing cycle time? Why or why not – use the pvalue to support?
PART 5:Which washing cycle times show significantly different results (at alpha = 0.05) in the pounds of dirt removed? Perform Fisher’s LSD. Make sure to include your critical value, LSD, and the mean differences of each pair to support your results. Then state which washing cycles times are significantly different.

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