Suppose a certain type of fertilizer has an expected yieldper acre of m1 with variance
Chapter 6, Problem 12(choose chapter or problem)
Suppose a certain type of fertilizer has an expected yieldper acre of m1 with variance s2, whereas the expectedyield for a second type of fertilizer is m2 with the samevariance s2. Let S12 and S22 denote the sample variances ofyields based on sample sizes n1 and n2, respectively, of thetwo fertilizers. Show that the pooled (combined) estimators 2 5 (n1 2 1)S12 1 (n2 2 1)S22n1 1 n2 2 2is an unbiased estimator of s2.
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