Central Limit Theorem:
The Equations
Given:
A population of variables x with some distribution, mean, and
standard deviation;
And random samples taken from this population of an acceptable size n...
Therefore:
The mean of the sample means, which is denoted by
essentially
is equivalent to the population Mean.
The standard deviation of the sample means, also known as the Standard Error
of the Mean, as denoted
by
, is equivalent
to the standard deviation of the population divided by the square root of
the sample size.
3:2