# Do the factor level means appear to differ does the

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Prepare aligned dot plots of the data. Do the factor level means appear to differ? Does the variability of the observations within each factor level appear to be approximately the same for all factor levels? Obtain the fitted values. Obtain the residuals. Obtain the analysis of variance table. Test whether or not the mean productivity improvement differs according to the level of research and development expenditures. Control the α risk at .05. i

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State the alternatives, decision rule, and conclusion. What is the P-value of the test in part (e)? How does it support the conclusion reached in part (e)? 16.25 Refer to Productivity improvement Problem 16.7. Obtain the power of the test in Problem 16.7e if μ 1 = 7 . 0, μ 2 = 8 . 0, and μ 3 = 9 . 0. Assume that σ = 0 . 9. 17.8 Refer to Productivity improvement Problem 16.7. Prepare a line plot of the estimated factor level means ¯ Y i. . What does this plot suggest regarding the effect of the level of research and development expendi- tures on mean productivity improvement? Estimate the mean productivity improvement for firms with high research and development expenditures levels: use a 95 percent confidence interval. Obtain a 95 percent confidence interval for D = μ 2 - μ 1 . Interpret your interval estimate. ii
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