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 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?

1 STAT 145 Introduction to Statistics 1 Chapter 1 Data Collection Terms ormulas 1.1 Introduction to the Practice to Statistics Objectives: Definitions and process of statistics / Qualitative vs. Quantitative Statistical Process: Population: An entire group of people, things, or events that has at least one common trait. Sample: A smaller number of observations taken from a population Parameter: A measure obtained from