In this note we are interested in testing H0 :
μ1 − μ2 = μ0, for μ0 a fixed difference of interest. For ease of notation, let ¯ Y1 =
Σn1
i=1 Y1i/n1
and ¯ Y2 =
Σn2
i=1 Y2i/n2 be the sample means, and S2
1 =
Σn1
i=1(Y1i − ¯ Y1)2/(n1 − 1) and S2
2 = Σn2
i=1(Y2i − ¯ Y2)2/(n2 − 1) be the sample variances.