A-52 Tables and Reference Information
8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM
Page 52 of 58
Below is the definition for the 2.SampÜTest.
Sx1, Sx2 = Sample standard deviations having
n1-1 and n2-1 degrees of freedom df,
respectively.
Û=Û-statistic = Sx
Sx
1
2
2
df(x, n1-1, n2-1) = Ûpdf( ) with degrees of
freedom df, n1-1, and n2-1
p= reported p value
2.SampÜTest for the alternative hypothesis s1 > s2.
pfxnndx
F
=−
()
,,
12
11
2.SampÜTest for the alternative hypothesis s1 < s2.
pfxnndx
F
=−
()
,,
12
0
11
2.SampÜTest for the alternative hypothesis s1 ƒ s2. Limits
must satisfy the following:
pfxn n dx fxn n dx
L
U
bnd
bnd
211 11
12
0
12
=−=−
∫∫
()()
,, ,,
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.
2-SampÜTest