Suppose that each of two different varieties of corn is
Chapter 11, Problem 14(choose chapter or problem)
Suppose that each of two different varieties of corn is treated with two different types of fertilizer in order to compare the yields, and that K independent replications are obtained for each of the four combinations. Let Xijk denote the yield on the kth replication of the combination of variety i with fertilizer j (i = 1, 2; j = 1, 2; k = 1,...,K). Assume that all the observations are independent and normally distributed, each distribution has the same unknown variance, and E(Xijk) = ij for k = 1,...,K. Explain in words what the following hypotheses mean, and describe how to carry out a test of them: H0 : 11 12 = 21 22, H1 : The hypothesis H0 is not true
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