alleryStart learning →Doubling the sample size makes the sampling distribution of the mean:
APerfectly flat
BNarrower than before
CWider than before
DExactly as wide
Answer & Solution
Correct answer: B. Narrower than before
1. The spread of sample means falls as the sample grows.
2. The standard deviation of the sampling distribution is the population deviation divided by the square root of n.
3. A larger n therefore gives a smaller standard error.
4. A smaller standard error means a narrower distribution of sample means.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 7 'The Central Limit Theorem', sections 7.1-7.3_
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