The manager of a market research company conducted an experiment to investigate the productivity of three employees on each of two computerized data-entry systems. The employees conducted phone surveys, entering the survey data into the computer during the phone call. Productivity was measured as the time (in minutes) taken to complete a call in which the respondent agreed to complete the survey. Each employee used each system for one hour, and the order of use was randomized. The productivity data are recorded in the following table.

a. Using the accompanying SAS computer output, conduct a two-way ANOVA. (Provide the F statistic values and P-values in the accompanying ANOVA table as part of your analysis.)
b. Report your conclusions using the α = .01 level. Is there an interaction between Employee and System? If not, does it appear that one system is significantly more productive than the other? Do the employees differ in terms of productivity?

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System Employee 8,7,8,9,8 5, 4,6,3,8,8,7 3,4,5,4.3.5,5.6 6. 4,7.4. 3,3.4.5,6 6. 2,3,3,4.4. 5.6,7.4 3,3,4.5,4.3,2, 4.3.3.3,4