Texas Instruments TI-NSPIRE Software Manual page 247

Û
2-Samp Test
Ü (two-sample Ü-test) computes an Ü-test to compare two
2-Samp Test
normal population standard deviations (s
means and standard deviations are all unknown.
uses the ratio of sample variances Sx1
: s
H =s against one of the alternatives below.
0 1 2
: s ƒ s
• H (s
a 1 2
: s
• H <s (s
a 1 2
: s
• H >s (s
a 1 2
Below is the definition for the
Sx1, Sx2
F
n 1 – n
df(x, ,
1
p
Ü
- for the alternative hypothesis
2 Samp Test
α
∫
(
p = f x n
F
Ü
- for the alternative hypothesis
2 Samp Test
F
∫
(
p = f x n
0
Ü
for the alternative hypothesis s
-
2 Samp Test
the following:
L
bnd
p
∫
(
-- - = f x n
2
0
Using Lists & Spreadsheet
ƒs
)
1: 2
s
)
1:< 2
s
)
1:> 2
2
= Sample standard deviations having
and
respectively.
= F-statistic =
1 –
= Fpdf( ) with degrees of freedom df,
)
2
and
= reported p value
)dx
, – 1 n , – 1
1 2
)dx
, – 1 n , – 1
1 2
) x d
, – 1 n , – 1
1 2
and s
1
2 2
/Sx2 , tests the null hypothesis
Ü
-
.
Samp Test
n 1 –
degrees of freedom df,
2
2
Sx1
⎛ ⎞
-------- -
⎝ ⎠
Sx2
n 1 –
2
σ >
1
σ <
1
ƒ s
1
∞
∫
(
= f x n ,
1
U
bnd
). The population
2
Ü
, which
2-Samp Test
n
n
σ
.
2
σ
.
2
. Limits must satisfy
2
) x d
– 1 n , – 1
2
1 –
1
1 –
,
1
235