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

Question

Quizplus · Accepted Answer

This statement is based on the Central Limit Theorem, which states that the sampling distribution of the mean will be approximately normally distributed regardless of the population distribution, given a sufficiently large sample size (usually n > 30).

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