alleryStart learning →If the original population is far from normal, the central limit theorem needs:
ANo observations at all
BExactly thirty observations
CMore observations per sample
DFewer observations per sample
Answer & Solution
Correct answer: C. More observations per sample
1. How fast the sampling distribution becomes normal depends on the starting shape.
2. If the original population is far from normal, then more observations are needed for the sample means or sums to be normal.
3. A population already close to normal needs very few.
4. So the rule of thumb about sample size is a guide rather than a fixed threshold.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 7 'The Central Limit Theorem', sections 7.1-7.3_
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