Question: An experiment was implemented to study the effect of row spacing (0.25, 0.5 and 1 m)–on the moisture content of soils in which a particular plant variety was grown under a specific type of irrigation practice. Three separate, fairly uniform areas were found that could hold three plots each, for a total of 9 plots. The three spacing levels were randomized so that each plot group had one plot of each spacing.

Treatment Spacing Level Plot 1 Plot 2 Plot 3

1 0.25 30.7 24.7 16.9

2 0.50 22.7 15.0 13.6

3 1.00 23.0 17.1 15.2

a. Write the null and alternate hypotheses (in model equation form) for the ANOVA test,

explaining all terms.

b. Show the ANOVA table and draw a conclusion from your hypothesis test conducted at the 0.10 significance level.

c. Calculate the estimated standard error for any single treatment group mean.

d. Calculate the standard error of the difference between any two observed treatment means.