If two random samples of sizes n₁ and n₂ are selected independently from two non-normally distributed populations,then the sampling distribution of the sample mean difference, ,is A)always non-normal B)always normal C)approximately normal only if n₁ and n₂ are both larger than or equal to 30 D)approximately normal regardless of n₁ and n₂

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the sample mean difference will be approximately normal if both sample sizes are larger than or equal to 30, regardless of whether the populations are normally distributed. Therefore, choice C is the best choice. The other choices are incorrect because the sampling distribution can be approximately normal depending on the sample sizes, and it is not always necessary for the populations to be normally distributed.

If Two Random Samples of Sizes N1 and N2 Are

If Two Random Samples of Sizes N₁ and N₂ Are