Texas Instruments TI-82 STATS Manual Book page 408

Statistics Formulas
2.SampÜ Ü Ü Ü Test
A–52 Tables and Reference Information
(continued)
Below is the definition for the
Sx1, Sx2 = Sample standard deviations having n
Û = Û -statistic =
df(x, n - 1, n
1
p = reported p value
SampÜ Ü Ü Ü Test
for the alternative hypothesis s
2 .
∫
p f x n ( , 1 , n
1
F
SampÜ Ü Ü Ü Test
for the alternative hypothesis s
2 .
F
∫
p f x n ( , 1 , n
1
0
SampÜ Ü Ü Ü Test
for the alternative hypothesis s
2 .
must satisfy the following:
L
bnd
p
∫
f x n ( , 1
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.
SampÜ Ü Ü Ü Test
2 .
and n - 1 degrees of freedom df,
2
respectively.



= Û pdf( ) with degrees of freedom
- 1)
2
df, n - 1, and n
1
1 ) dx
2
1 ) dx
2
∫
, n 1 ) dx f x n (
2
U
bnd
.
2

Sx 1


Sx 2
- 1
2
> s .
1 2
< s .
1 2
. Limits
ƒ s
1 2
, 1 , n 1 ) dx
1 2
- 1
1