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 sampling distribution of the sample mean difference is approximately normal only if the sample sizes are both larger than or equal to 30, due to the central limit theorem. This holds regardless of the population distributions. Thus, options A and B are not correct, and option D is too broad in its assertion.

If Two Random Samples of Sizes N1 and N2 Are

If Two Random Samples of Sizes N₁ and N₂ Are