The central limit theorem states that, for any distribution, as n gets larger, the sampling distribution of the sample mean ________.
A) becomes larger
B) becomes smaller
C) is closer to a normal distribution
D) is closer to the standard deviation

Question

Quizplus · Accepted Answer

The central limit theorem states that as n gets larger, the sampling distribution of the sample mean approaches a normal distribution, regardless of the underlying distribution of the population. This happens because the variability of the sample mean decreases as the sample size increases, resulting in a more concentrated distribution around the population mean.

The Central Limit Theorem States That, for Any Distribution, as N