rσ= σB/σA
rµ = µB/µA
1.00
1.25
1.50
1.75
2.00
1.00
0.5000
0.5000
0.5000
0.5000
0.5000
1.25
0.6382
0.6226
0.6092
0.5980
0.5885
1.50
0.7602
0.7339
0.7105
0.6901
0.6726
1.75
0.8556
0.8256
0.7973
0.7716
0.7488
2.00
0.9214
0.8942
0.8664
0.8395
0.8145
Table 1:
shows the hypothetical probability, [P(QB>QA)], that any sample in Distribution B is larger than any sample in Distribution A, if both A and B are Gaussian and the ratios of their means and standard deviation are rµ and rσrespectively.