KayVK9alex0sancius KayVK9alex0sancius

16-03-2017
Mathematics

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If the population standard deviation is 10 , how large a sample is necessary to have a standard error that is

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LammettHash LammettHash

16-03-2017

The standard error given a population standard deviation of [tex]\sigma[/tex] is [tex]\dfrac\sigma{\sqrt n}[/tex]. So if the desired standard error is [tex]s[/tex], then

[tex]s=\dfrac\sigma{\sqrt n}\implies \sqrt n=\dfrac\sigma s\imlies n=\dfrac{\sigma^2}{s^2}[/tex]

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