Consider testing the difference between the means of two populations with known population standard deviations.If neither population is normally distributed,then the sampling distribution of the difference in sample means will still be approximately normal provided that the sample sizes are sufficiently large and the samples are independent.

Question

Quizplus · Accepted Answer

This statement is true. The Central Limit Theorem states that the sampling distribution of the difference in sample means will be approximately normal, even if the underlying populations are not normally distributed, when the sample sizes are large enough and the samples are independent.

Consider Testing the Difference Between the Means of Two Populations