Question: Consider the statistic S 2 p , the pooled estimate of 2 . The estimator is discussed in Section 9.8. It is used when

Consider the statistic S²_p, the pooled estimate of σ². The estimator is discussed in Section 9.8. It is used when one is willing to assume that σ²₁ = σ²₂ = a². Show that the estimator is unbiased for a² (i.e., show that E(S²) = a²).

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