The logic and computational details of this
procedure are described in Chapter 9 of
Concepts and Applications.
The difference between the means of two samples, A and B, both randomly drawn from the same normally distributed source population, belongs to a normally distributed sampling distribution whose overall mean is equal to zero and whose standard deviation ("standard error") is equal tosquare.root[(sd2/na) + (sd2/nb)]
wheresd2 = the variance of the source population (i.e., the square of the standard deviation);
|sd of source |
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