What happens to the standard error each time you quadruple the sample size?

Trystan Castaneda 2022-08-06 Answered
What happens to the standard error each time you quadruple the sample size?
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Answers (1)

tangouwn
Answered 2022-08-07 Author has 13 answers
The standard error is given by
S E = σ n
If we substitute 4n for n, this becomes:
S E = σ 4 n = σ 2 n = 1 2 σ n
So the standard error has been reduced by half.

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