In developing a confidence interval for the difference between two population means using two independent samples, we use the pooled estimate in estimating the standard error of the sampling distribution of the sample mean difference if the populations are normal with equal variances.

Question

In developing a confidence interval for the difference between two population means using two independent samples, we use the pooled estimate  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 the populations are normal with equal variances, the standard error of the sampling distribution of the sample mean difference is estimated using the pooled estimate of the common variance.

In Developing a Confidence Interval for the Difference Between Two