Robert Altoff is vice president of engineering for amanufacturer of household washing machines. As part of a newproduct development project, he wishes to determine the optimallength of time for the washing cycle. Included in the project is astudy of the relationship between the detergent used (four brands)and the length of the washing cycle (18, 20, 22, or 24 minutes). Inorder to run the experiment, 32 standard household laundry loads(having equal amounts of dirt and the same total weights) arerandomly assigned to the 16 detergent–washing cycle combinations.The results (in pounds of dirt removed) are shown below.
Detergent Brand | Cycle Time (min) |
18 | 20 | 22 | 24 |
A | 0.13 | 0.15 | 0.15 | 0.13 |
| 0.14 | 0.14 | 0.15 | 0.13 |
B | 0.15 | 0.15 | 0.16 | 0.16 |
| 0.16 | 0.14 | 0.14 | 0.15 |
C | 0.18 | 0.16 | 0.18 | 0.16 |
| 0.18 | 0.16 | 0.17 | 0.17 |
D | 0.14 | 0.14 | 0.14 | 0.13 |
| 0.12 | 0.13 | 0.14 | 0.13 |
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Complete an ANOVA table. Use the 0.05 significance level.(Do not round your intermediate calculations. Enter yourSS, MS, p to 3 decimal places andF to 2 decimal places.)