Central Limit Theory
q In the limit, as the sample size becomes large, the sum (or the mean) of
a set of independent measurements will have a normal distribution,
irrespective of the distribution of the raw data.
q If there is a population which has a mean of mand a standard deviation
of s, then the distribution of its sampling means will have:
(1)  a mean m x = m, and
(2)  a standard deviation sx = s/(N)1/2 = standard error of the mean