An experiment was conducted to determine the effect of three methods of soil pre

Question

An experiment was conducted to determine the effect of three methods of soil preparation on the first-year growth of slash pine seedlings. Four locations were selected and each location was divided into three plots. Because soil fertility within a location was likely to be more homogeneous than between locations, a randomized block design was employed, using locations as blocks. The methods of soil preparation were A (no preparation), B (light fertilization), and C (burning). Each soil preparation was randomly applied to a plot within each location.On each plot the same number of seedlings was planted, and the observation recorded was the average first-year growth (in centimeters) of the seedlings on each plot. These observations are reproduced in the accompanying table.

Soil | Location
Preparation | 1 2 3 4
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A 11 13 16 10
B 15 17 20 12
C 10 15 13 10

a)How many locations need to be used to estimate the difference between the mean growth for any two specified soil preparations to within 1 unit, with the confidence coefficient .95?

b)What is the total number of observations required in the entire experiment?

Explanation / Answer

c) Construct confidence intervals for all possible differences among treatment (soil preparation) means so that the simultaneous coefficient is at least .90. d) Is there evidence to indicate differences in mean growth for the four locations? Construct an F test, using complete and reduced linear models.

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