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As sample sizes increase, the distribution of sample means more closely follows the:
ANormal distribution
BUniform distribution
CBinomial distribution
DOriginal distribution
Answer & Solution
Correct answer: A. Normal distribution
1. The central limit theorem is a statement about what happens to averages.
2. As sample sizes increase, the distribution of means more closely follows the normal distribution.
3. That is true whatever shape the original population had.
4. It is why normal-based methods work so widely in practice.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 7 'The Central Limit Theorem', sections 7.1-7.3_
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