Texas Instruments TI-84 PLUS - Graphing Calculator Manual Book page 393

) = Û
( n 1 – n 1 –
df x, ,
1 2
p
Ü
- for the alternative hypothesis
2 Samp Test
α
∫
(
p = f x n , – 1 n ,
1
F
Ü
- for the alternative hypothesis
2 Samp Test
F
∫
(
p = f x n , – 1 n ,
1
0
Ü
- for the alternative hypothesis s
2 Samp Test
L
bnd
p
∫
(
-- - = f x n , – 1 n
1
2
0
where: [ ] = lower and upper limits
Lbnd,Ubnd
The Ü-statistic is used as the bound producing the smallest integral. The remaining bound is
selected to achieve the preceding integral's equality relationship.
2-SampTTest
The following is the definition for the
freedom is:
df
x – x
1 2
t = --------------- -
S
where the computation of
variances are not pooled:
2 2
Sx Sx
1 2
S = ---------- - + ---------- -
n n
1 2
⎛
Sx
1
⎜
---------- -
n
⎝
1
df = --------------------------------------------------------------------------- -
2
⎛ Sx ⎞
1
1
------------- - ---------- -
⎜ ⎟
n – 1 n
⎝ ⎠
1 1
( ) with degrees of freedom
pdf
and n 1 –
2
= reported value
p
σ
)dx
– 1
2
σ
)dx
– 1
2
1
∞
∫
) x d (
, – 1 = f x n ,
2 1
U
bnd
2-SampTTest
and are dependent on whether the variances are pooled. If the
S df
2
2 2
⎞
Sx
2
⎟
+ ---------- -
n
⎠
2
2 2
2
⎛ Sx ⎞
1
2
------------- - ---------- -
+ ⎜ ⎟
n – 1 n
⎝ ⎠
2 2
, n 1 – ,
df
1
> σ
.
1 2
< σ
.
1 2
. Limits must satisfy the following:
ƒ s
2
) x d
– 1 n , – 1
2
. The two-sample
t
Appendix B: Reference Information
statistic with degrees of
386