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Robert Altoff is vice president for engineering for a manufacturer of household

ID: 3302872 • Letter: R

Question

Robert Altoff is vice president for engineering for a manufacturer of household washing machines. As part of new product development, he wishes to determine the optimal length of time for the washing cycle. A part of the development is to study the relationship between the detergent used (four brands) and the length of the washing cycle (18, 20, 22, or 24 minutes). In order to run the experiment, 32 standard household laundry loads (having equal amounts of dirt and the same total weights) are randomly assigned to the 16 detergent-washing cycle combinations. The results (in pounds of dirt removed) are shown below.

Complete an ANOVA table. Use the .05 significance level. (Round SS, MS, p to 3 decimal places and F to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)

(Click to select) Only the cycle time means are significantly different

Both the cycle time mean and the brand mean are significantly differen

Both the cycle time mean and the brand mean are not significantly different

Only the brand means are significantly different from the values calculated.

The confidence interval indicate that cycle times of 22 and 24 minutes are (Click to select) inferior ORT superior to alternatives.

Robert Altoff is vice president for engineering for a manufacturer of household washing machines. As part of new product development, he wishes to determine the optimal length of time for the washing cycle. A part of the development is to study the relationship between the detergent used (four brands) and the length of the washing cycle (18, 20, 22, or 24 minutes). In order to run the experiment, 32 standard household laundry loads (having equal amounts of dirt and the same total weights) are randomly assigned to the 16 detergent-washing cycle combinations. The results (in pounds of dirt removed) are shown below.

Explanation / Answer

applying two way ANOVA on above data:

b-1)

b-2)

d) option b

Both the cycle time mean and the brand mean are significantly differen

Source of Variation df SS MS F P-value cycles 3 0.016 0.005 21.95 0.000 Brand 3 0.006 0.002 8.58 0.001 Interaction 9 0.002 0.000 0.81 0.612 error 16 0.004 0.000 Total 31 0.027
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