According to the Central Limit Theorem, if you take decently sized samples from the highly skewed distribution:
A) the resulting sampling distribution likely will be skewed in the same direction as the original distribution
B) the resulting sampling distribution likely will be skewed in the opposite direction as the original distribution
C) the resulting sampling distribution likely will be multimodal
D) the resulting sampling distribution likely will be normal (bell-shaped)

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that regardless of the shape of the original distribution, if the sample size is large enough, the sampling distribution of the mean will be normal (or approximately normal if the sample size is not very large) with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size. Therefore, even if the original distribution is highly skewed, the resulting sampling distribution of the mean will be normal.

According to the Central Limit Theorem, If You Take Decently