Texas Instruments TINSPIRE Manual Book page 598

: s ƒs
• H
a 1 2
: s
• H <s
a 1 2
: s
• H >s
a 1 2
Below is the definition for the
Sx Sx
1, 2
F
n 1 – n
df x, ,
(
1
p
F
2-Sample Test
α
∫
(
p = f x n
F
F
2-Sample Test
F
∫
(
p = f x n
0
F
2-Sample Test
the following:
L
bnd
p
∫
(
-- - = f x n
2
0
Lbnd,Ubnd
where: [
The F-statistic is used as the bound producing the smallest integral. The
remaining bound is selected to achieve the preceding integral's equality
relationship.
586 Using Lists & Spreadsheet
2-Sample
= Sample standard deviations having
and
respectively.
= F-statistic =
= F
1 –
pdf
)
2
and
= reported
for the alternative hypothesis
)dx
, – 1 n , – 1
1 2
for the alternative hypothesis
)dx
, – 1 n , – 1
1 2
for the alternative hypothesis s
) x d
, – 1 n , – 1
1 2
] = lower and upper limits
F .
Test
n 1 –
degrees of freedom
2
2
Sx1
⎛ ⎞
-------- -
⎝ ⎠
Sx2
( ) with degrees of freedom
n 1 –
2
p
value
σ
σ
∞
∫
(
= f x n ,
1
U
bnd
df
,
df
,
> σ
.
1 2
< σ
.
1 2
ƒs
. Limits must satisfy
1 2
) x d
– 1 n , – 1
2
n 1 –
1
n 1 –
,
1