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A-52 Tables and Reference Information
8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM
Page 52 of 58
Below is the definition for the 2
.
Samp
Ü
Test.
Sx
1,
Sx
2 = Sample standard deviations having
n
1
-
1 and
n
2
-
1
degrees of freedom
df
,
respectively.
Û
=
Û
-statistic =
Sx
Sx
1
2
2
df
(
x, n
1
-
1
, n
2
-
1) =
Ûpdf
( ) with degrees of
freedom
df
,
n
1
-
1, and
n
2
-
1
p
= reported
p
value
2
.
Samp
Ü
Test for the alternative hypothesis
s
1
>
s
2
.
pfxnndx
F
=−−
∞
∫
()
,,
12
11
2
.
Samp
Ü
Test for the alternative hypothesis
s
1
<
s
2
.
pfxnndx
F
=−−
∫
()
,,
12
0
11
2
.
Samp
Ü
Test for the alternative hypothesis
s
1
ƒ
s
2
. Limits
must satisfy the following:
p
fxn n dx fxn n dx
L
U
bnd
bnd
2
11 11
12
0
12
=−−=−−
∫∫
∞
()()
,, ,,
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-Samp
Ü
Test