Texas Instruments TI-83 Manual Book page 408

2-SampÜTest
A-52 Tables and Reference Information
Below is the definition for the
Sx1, Sx2 = Sample standard deviations having
-1, n
df(x, n
1
. for the alternative hypothesis s
2 SampÜTest
( 1
p f x n , ,
1
F
. for the alternative hypothesis s
2 SampÜTest
F
p f x n ( , 1 ,
1
0
. for the alternative hypothesis s
2 SampÜTest
must satisfy the following:
L
bnd
p
(
f x n ,
1
2
0
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
-1 and n -1 degrees of freedom df,
n
1 2
respectively.
Û = Û-statistic =
-1) = Ûpdf( ) with degrees of
2
freedom df, n
p = reported p value
1 )
n dx
2
n 1 ) dx
2
1 1 )
, n dx f x n
2
U
bnd
.
2
Sx 1
Sx 2
-1, and n
1
> s
.
1 2
< s
.
1 2
ƒ s
1 2
( 1 1 )
, , n dx
1 2
-1
2
. Limits