Finite Population Correction
and the Standard Error of the Mean


The Usage of the equation for the standard error of the mean assumes a population that is infinite and it is usually employed as it stands with populations that are infinite or are vast enough to consider them infinite for practical purposes. But for too large to sample in its entirety and too small to label as practically infinite, we must add the population correlation factor to the end of the equation:

Given:

A population of size N , from which we have taken a sample size n of a variable x  with mean and standard deviation...

Therefore:

The standard deviation of sample means is as follows:

The Central Limit Theorem and Our UCLA Population


  

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