alleryStart learning →Quadrupling the sample size changes the standard error by a factor of:
AOne quarter of it
BTwice as much
CFour times more
DOne half of it
Answer & Solution
Correct answer: D. One half of it
1. The standard error divides the population deviation by the square root of the sample size.
2. The standard deviation of the sampling distribution is the standard deviation of the original distribution divided by the square root of n.
3. Multiplying n by four multiplies the square root of n by two.
4. Dividing by twice as much halves the standard error.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 7 'The Central Limit Theorem', sections 7.1-7.3_
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