Robert Altoff is vice president for engineering for a manufacturer of household
ID: 3312249 • 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 OR Both the cycle time mean and the brand mean are significantly different OR Both the cycle time mean and the brand mean are not significantly different OR 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)(superior or inferior) 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)
no interaction
b)Both the cycle time mean and the brand mean are significantly different
c) The confidence interval indicate that cycle times of 22 and 24 minutes are inferior to alternatives.(in terms of more time is bad)
Source of Variation df SS MS F P-value cycles 3 0.016 0.005 21.95 0.0000 Brand 3 0.006 0.002 8.58 0.0013 Interaction 9 0.002 0.000 0.81 0.6123 error 16 0.004 0.000 Total 31 0.027Related Questions
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