The Central Limit Theorem States That

Multiple Choice

The central limit theorem states that:

A) even with populations that have dramatically non-normal distributions, the sampling distributions of the mean will be increasingly normal in shape as sample sizes increase.
B) the sampling distributions of the mean will reflect the shape of the underlying population, such that normally distributed samples can be assumed to come from a normally distributed population.
C) the sampling distributions of the mean will reflect the shape of the underlying population only for large sample sizes, such that populations with drastically non-normal distributions will yield sampling distributions that are normal for small to moderate sample sizes.
D) even with populations that have dramatically non-normal distributions, the sampling distributions of the mean will be increasingly normal in shape as sample sizes decrease.