For sample sizes greater than 30, the sampling distribution of the mean will be approximately normally distributed
A) only if the population is normally distributed.
B) only if the shape of the population is symmetrical.
C) only if the standard deviation of the samples are known.
D) regardless of the shape of the population.

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that for sample sizes greater than 30, regardless of the shape of the population, the sampling distribution of the mean will be approximately normally distributed. Therefore, option D is the correct choice.

For Sample Sizes Greater Than 30, the Sampling Distribution of the Mean