Question: A study measuring the fatigue and stress of air traffic controllers has resulted in proposals for modification and redesign of the controller’s work station. After consideration of several designs for the work station, three specific alternatives have been selected as having the best potential for reducing controller stress. For simplicity, we refer to the work station alternatives as system A, system B, system C. Six controllers were selected at random and assigned to operate each of the systems. A follow—up interview and a medical examination of each controller participating in the study provided a measure of the stress for each controller on each system. The data are reported in the following.

1. Enter the data in Excel and use the formula "=average()" and "=var()" to get the sample mean and variance for each type of work station and for each controller, the overall mean, and the overall variance.
2. Use the printout from part a to calculate SST, SSG, 553, and SSW. Show your work.
3. Construct the two-way ANOVA table using the results from part b.
4. Use Excel to get the two-way ANOVA table.
5. Do the sample results justify the conclusion that the population mean stress levels for the three systems differ? Use a 5% significance level to conduct the test.
6. Do the sample results indicate that the population mean stress levels for the six controllers differ? Use a 5% significance level to conduct the test.

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