Suppose a certain type of fertilizer has an expected
yield per acre of m1 with variance s2, whereas the
16.88
10.23
4.59
6.66
13.68
expected yield for a second type of fertilizer is m2
14.23
19.87
9.40
6.51
10.95
with the same variance s2. Let S2 and S2 denote the
1 2
sample variances of yields based on sample sizes n1 and n2, respectively, of the two fertilizers. Show that the pooled (combined) estimator