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

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

In Testing the Difference Between Two Population Means Using Two