If a population distribution is highly negatively skewed, then the distribution of the sample means for samples of size 1000 will be which one of the following?
A) highly negatively skewed
B) highly positively skewed
C) approximately normally distributed
D) cannot be determined without further information

Question

Quizplus · Accepted Answer

According to the Central Limit Theorem, regardless of the shape of the population distribution, the distribution of the sample means approaches a normal distribution as the sample size becomes large. Since a sample size of 1000 is considered large, the distribution of the sample means will be approximately normally distributed.

If a Population Distribution Is Highly Negatively Skewed, Then the Distribution