Which of the following is/are true about the Central Limit Theorem?
I. It cannot be applied if the population distribution is non-normal.
II. It cannot be applied if the population distribution is highly skewed.
III. It implies that the mean of the population equals the mean of the means of all possible samples.
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A. B. C. D. E. F.Explanation
The Central Limit Theorem states that for a population with mean M and variance S, a sample of large size n has a sampling distribution of mean which is approximately normal with mean M and variance S/n.