When the two population variances are unequal, we cannot pool the data and produce a
common estimator. We must calculate s12 or s22 and use them to estimate σ12 and σ22 respectively.

Question

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When the two population variances are unequal, we cannot assume that the sample variances are equal and pool the data to produce a common estimator. We must calculate separate sample variances, s12 and s22, and use them to estimate the respective population variances, σ12 and σ22.

When the Two Population Variances Are Unequal, We Cannot Pool