In testing the difference between two population means using two independent random 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 random 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 testing the difference between two population means using two independent random samples and assuming normal populations with equal variances, we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference. This is because the pooled variance is an unbiased estimator of the common variance of the two populations, and using it can improve the efficiency of our statistical test.

In Testing the Difference Between Two Population Means Using Two