TI-83 Plus Tables and Reference Information 725
2.SampÜTest for the alternative hypothesis s1 > s2.
∫∞−−=
F
dxnnxfp )1,1,( 21
2.SampÜTest for the alternative hypothesis s1 < s2.
∫−−= Fdxnnxfp
021 )1,1,(
2.SampÜTest for the alternative hypothesis s1 ƒ s2. Limits must satisfy
the following:
∫∫ ∞−−=−−=
bnd
bnd
U
Ldxnnxfdxnnxf
p)1,1,()1,1,(
221
021
where: [Lbnd,Ubnd] = lower and upper limits
The Û-statistic is used as the bound producing the smallest integral. The
remaining bound is selected to achieve the preceding integral’s equality
relationship.