Question

Suppose a certain type of fertilizer has an expected yield per acre of μ1 with variance s2, whereas the expected yield for a second type of fertilizer is m2 with the same variance s2. Let S21 and S22 denote the sample variances of yields based on sample sizes n1 and n2, respectively, of the two fertilizers. Show that the pooled (combined) estimator μ1 with variance σ2, is an unbiased estimator of σ2.

Answer 1

Answer:

Step-by-step explanation:

The Given Information,

The pooled variance is given

The sample pooled variance is an unbiased estimator of population variance and the proof is given as;

Hence, the estimated value of pooled variance is equal to population variance.

Find attached solution.