Question: The article Multi-objective Scheduling Problems: Determination of Pruned Pareto Sets (H. Taboada and D. Coit, IIE Transactions, 2008:552564) presents examples in a discussion of optimization

The article “Multi-objective Scheduling Problems: Determination of Pruned Pareto Sets” (H. Taboada and D. Coit, IIE Transactions, 2008:552–564) presents examples in a discussion of optimization methods for industrial scheduling and production planning. In one example, seven different jobs were performed on each of five machines. The means and standard deviations of the processing times for each machine are presented in the following table.

Machine Mean SD Sample Size A 25.43 10.67 7 B 23.71 13.92 7 C 44.57 15.90 7 D 23.14 12.75 7 E 58.00 19.11 7

a. Construct an ANOVA table. You may give a range for the P-value.

b. Can you conclude that there are differences among the mean processing times?

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