Which of the following statements is true? A. The Central Limit Theorem states t
ID: 3393951 • Letter: W
Question
Which of the following statements is true?
A. The Central Limit Theorem states that a sampling distribution of means will not have the same shape as the population distribution from which it is taken.
B. The Central Limit Theorem states that the mean of a sampling distribution of means will have the same mean as the population distribution from which it is taken.
C. The Central Limit Theorem states that the standard deviation of a sampling distribution of means (with n > 1) will have a larger standard deviation as the population distribution from which it is taken.
D. None of A through C are true.
Explanation / Answer
Which of the following statements is true?
A. The Central Limit Theorem states that a sampling distribution of means will not have the same shape as the population distribution from which it is taken.
B. The Central Limit Theorem states that the mean of a sampling distribution of means will have the same mean as the population distribution from which it is taken.
C. The Central Limit Theorem states that the standard deviation of a sampling distribution of means (with n > 1) will have a larger standard deviation as the population distribution from which it is taken.
D. None of A through C are true.
Answer D
The central limit theorem states that the sampling distribution of the mean of any independent, random variable will be normal or nearly normal, if the sample size is large enough.