Significance of the central limit theorem


The practical significance of the Central Limit Theorem is which one of the following?

A. If a population has a normal distribution, then the sample size will have no effect on the shape of the sampling distribution.

B. We can assume that the sampling distribution is normal even when the shape of a population distribution is completely unknown if the sample size is 30 or more.

C. Sample size has no effect on the shape of a sampling distribution, so when designing a study the most economical sample size can be selected.

D. The larger the sample, the more spread or variation there will be in the data, so we divide the standard deviation ? by the square root of n to reduce that variability.

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Basic Statistics: Significance of the central limit theorem
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