?

AP® Statistics

Free Version

Upgrade subject to access all content

Moderate

Sample Distributions: Central Limit Theorem

APSTAT-EVPKUT

A known population has a highly skewed distribution. You take all possible samples of size $8$ from this skewed distribution.

What does the central limit theorem say about the shape of your sampling distribution?

A

The sampling distribution will be approximately normal.

B

The sampling distribution will be exactly normal.

C

The sampling distribution will be skewed, but less skewed than the population.

D

The sampling distribution will be skewed to the same degree as the population.

E

Unable to determine the shape of the sampling distribution due to the small sample size.