19. Slash Pine Seedlings An experiment was conducted to determine the effects of three methods of soil preparation—A (no preparation), B (light fertilization), and C (burning)—on the first-year growth of slash pine seedlings. Four locations were selected, and each location was divided into three plots. Since it was felt that soil fertility within a location was more homogeneous than between locations, each soil preparation was randomly applied to a plot within each location. On each plot, the same number of seedlings were planted and the average first-year growth of the seedlings was recorded on each plot. Use the MINITAB printout to answer the questions.

a. Conduct an analysis of variance. Do the data provide evidence to indicate a difference in the mean growths for the three soil preparations?

b. Is there evidence to indicate a difference in mean rates of growth for the four locations?

c. Use Tukey’s method of paired comparisons to rank the mean growths for the three soil preparations. Use a 5.05.

d. Use a 95% confidence interval to estimate the difference in mean growths for methods A and B.

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Location Soll Preparation 1 2 3 4 A 11 13 16 B 15 17 20 C 10 15 13 1200