In testing the difference between two population means using two independent samples,we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference if the populations are normal with equal variances.

Question

In testing the difference between two population means using two independent samples,we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference  if the populations are normal with equal variances.

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When testing the difference between two population means using two independent samples, if the populations are normal with equal variances, we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference. This is done to increase the precision of the estimate of the standard error, as it takes into account the variability in both samples.

In Testing the Difference Between Two Population Means Using Two