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Exercise 3.3. Twelve orange pulp silage samples are divided at random into four groups of three. One of the groups was left as an untreated control, while the other 3 groups were treated with formic acid, beet pulp, and sodium chloride, respectively. One of the responses was the moisture content of the silage. The observed moisture contents of the silage are shown below NaCl 80.5 79.3 79.0 Means 79.6 Grand Mean79.3 Formic Acid 89.1 75.7 81.2 82.0 Beet Pul 77.8 79.5 77.0 78.1 Control 76.7 77.2 78.6 77.5 a) Describe the design and write the model equation in both the means and effects parameterization. Define model equation terms. State any assumptions about the random effects terms in the model equation b) Use PROC GLM to obtain the analysis of variance (ANOVA) table for these data. c) Test the null hypothesis that the mean moisture content is the same for the different silage treatments. Express your conclusion to the hypothesis test in terms of the application (as opposed to a purely statistical conclusion)

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