If the underlying populations cannot be assumed to be normal,then by the central limit theorem,the sampling distribution of is approximately normal only if both sample sizes are sufficiently large-that is,when _________ . A) n₁ + n₂ = 30 B) n₁ + n₂ ≥ 30 C) n₁ = 30 and n₂ = 30 D) n₁ ≥ 30 and n₂ ≥ 30

Question

Quizplus · Accepted Answer

According to the central limit theorem, in order for the sampling distribution of a statistic to be approximately normal, the sample size should be sufficiently large. Specifically, when the underlying population is not assumed to be normal, the sample size of each group should be at least 30 (i.e., n₁ ≥ 30 and n₂ ≥ 30). Therefore, choice D is the best choice.

If the Underlying Populations Cannot Be Assumed to Be Normal,then