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.

Quizplus · Accepted Answer

When using two independent samples to test the difference between two population means, we use the pooled variance to estimate the standard error of the sampling distribution of the sample mean difference if the populations are normal with equal variances. This is because the pooled variance provides a better estimate of the common underlying variance of the two populations.

In Testing the Difference Between Two Population Means Using Two