The sampling distribution of the mean will be approximately normal regardless of the distribution of the original population or the sample size.

Question

Quizplus · Accepted Answer

The sampling distribution of the mean will be approximately normal if the sample size is large enough (usually n ≥ 30) due to the Central Limit Theorem, or if the original population is normally distributed. For small sample sizes from a non-normal population, the distribution may not be approximately normal.

The Sampling Distribution of the Mean Will Be Approximately Normal