What would the central limit theorem tell us about the shape of the sampling distribution of the mean for the survey in question 12 (above.regarding students perceptions of alcohol use?
A)it will look roughly "normal" and bell-shaped as long as the sample size from which it is developed is large enough.
B)If the population distribution is skewed then the sampling distribution of the mean will also be skewed.
C)It will always be bell-shaped,even when derived from a very small sample size.

Question

Quizplus · Accepted Answer

The central limit theorem states that as sample size gets larger, the sampling distribution of the mean will approach a normal distribution regardless of the shape of the population distribution. Therefore, as long as the sample size for the survey is large enough, the shape of the sampling distribution of the mean for the survey on students' perceptions of alcohol use would be roughly normal and bell-shaped.

What Would the Central Limit Theorem Tell Us About the Shape