FILE Robert Altoff is vice president of engineering for a manufacturer of household washing machines. As part of a new product development project, he wishes to deter- mine the optimal length of time for the washing cycle. Included in the project is a study of 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. Cycle Time (min) Detergent Brand 18 20 22 24 0.13 0.11 0.14 0.12 0.11 0.19 0.17 0.18 0.15 0.18 0.20 0.10 0.16 0.17 0.15 0.14 0.15 0.14 0.17 0.18 0.19 0.18 0.19 0.21 0.09 0.13 D. 0.12 0.13 0.16 0.16 0.15 0.17 C.

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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48. FILE Robert Altoff is vice president of engineering for a manufacturer of household
washing machines. As part of a new product development project, he wishes to deter-
mine the optimal length of time for the washing cycle. Included in the project is a study
of 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.
Cycle Time (min)
Detergent Brand
18
20
22
24
A
0.13
0.12
0.19
0.15
0.11
0.11
0.17
0.18
0.14
0.15
0.18
0.20
0.10
0.16
0.14
0.17
0.18
0.19
0.15
0.18
0.17
0.09
0.13
0.14
0.19
0.21
D
0.12
0.16
0.15
0.13
0.16
0.17
a. Draw an interaction plot of the detergent means by cycle time.
b. Compute the ANOVA with statistical software and, using the .05 significance level,
test the interaction effect of brand and cycle time on "dirt removed."
c. Based on your results in part (b), conduct the appropriate tests of hypotheses for
differences in factor means.
d. Interpret the results in a brief report.
Transcribed Image Text:48. FILE Robert Altoff is vice president of engineering for a manufacturer of household washing machines. As part of a new product development project, he wishes to deter- mine the optimal length of time for the washing cycle. Included in the project is a study of 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. Cycle Time (min) Detergent Brand 18 20 22 24 A 0.13 0.12 0.19 0.15 0.11 0.11 0.17 0.18 0.14 0.15 0.18 0.20 0.10 0.16 0.14 0.17 0.18 0.19 0.15 0.18 0.17 0.09 0.13 0.14 0.19 0.21 D 0.12 0.16 0.15 0.13 0.16 0.17 a. Draw an interaction plot of the detergent means by cycle time. b. Compute the ANOVA with statistical software and, using the .05 significance level, test the interaction effect of brand and cycle time on "dirt removed." c. Based on your results in part (b), conduct the appropriate tests of hypotheses for differences in factor means. d. Interpret the results in a brief report.
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