The Central Limit Theorem is not made up of which of the following statements?
A) The distribution of sample means will approach a normal distribution as sample size increases.
B) The distribution of sample means will be more variable as sample size increases.
C) The mean of the distribution of sample means will always be equal to the mean of the population.
D) The standard deviation of the distribution of sample means will always be equal to the population standard deviation divided by the square root of the sample size.

Question

Quizplus · Accepted Answer

The statement "The distribution of sample means will be more variable as sample size increases" is not true. In fact, the distribution of sample means will become less variable as sample size increases, which is one of the main points of the Central Limit Theorem. The other statements (A, C, and D) are all true and are key components of the Central Limit Theorem.

The Central Limit Theorem Is Not Made Up of Which