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

Question

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 determine 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.

Complete an ANOVA table. Use the 0.05 significance level. (Do not round your intermediate calculations. Enter your SS, MS, p to 3 decimal places and F to 2 decimal places.)

Thank you!!!

Detergent Brand Cycle Time (min) 18 20 22 24 A 0.14 0.16 0.17 0.12 0.15 0.13 0.14 0.15 B 0.14 0.15 0.18 0.13 0.14 0.13 0.13 0.14 C 0.14 0.14 0.17 0.13 0.15 0.14 0.14 0.15 D 0.14 0.14 0.16 0.13 0.15 0.13 0.13 0.14

Complete an ANOVA table. Use the 0.05 significance level. (Do not round your intermediate calculations. Enter your SS, MS, p to 3 decimal places and F to 2 decimal places.)

Thank you!!!

Explanation / Answer

applying 2 way ANOVA with replication for above data:

Source of Variation SS df MS F P-value Brands 0.00014 3 0.00005 0.17 0.912 cycle time 0.00116 3 0.00039 1.48 0.259 Interaction 0.00019 9 0.00002 0.08 1.000 Within 0.00420 16 0.00026 Total 0.006 31

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