TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ˆ Tests Menu 151
2-SampTTest
Description
2 ˆ (
Tests) Æ 4:2.SampTTest for the TI-89
ˆ (Tests) Æ 4:2.SampTTest for the TI-92 Plus / Voyage™ 200 PLT
2.SampTTest (two-sample t test) tests the equality of the means of two populations (m
1
and m
2
) based on independent samples when neither population standard deviation (s
1
or s
2
) is known. The null hypothesis H
0
: m
1
=m
2
is tested against one of the alternatives
below.
¦ H
a
: m
1
ƒm
2
¦ H
a
: m
1
<m
2
¦ H
a
: m
1
>m
2
Data Inputs
List 1, List 2 Lists containing the data used in the calculations.
Freq 1, Freq 2 Frequency values for the data in List 1 and List 2. The default is 1. All
elements must be integers | 0.
Each element in the frequency
(Freq) list is the frequency of occurrence
for each corresponding data point in the input list specified in the
List
field.
Alternate Hyp
(
m
1
π
ππ
πm
2
, m
1
<
<<
<m
2
, m
1
>
>>
>m
2
)
Three alternate hypotheses against which the null hypothesis (H
0
: m
1
=m
2
may be tested.
Pooled
(YES, NO)
Specifies whether or not the variances are to be pooled for the
calculation.
YES = variances pooled. Pop
ulation variances are assumed to
be equal. Select NO = variances not pooled. Population variances can be
unequal.
Results
(Calculate or Draw)
Calculate: Display numerical and symbolic test results in a dialog box.
Draw: Draw a graph of the test results.
Stats Inputs
x1, x2 The sample mean of the data sequences.
Sx1, Sx2 Sample standard deviations of the data sequences.
n1 Size of the sample one.
n2 Size of the sample two.
Alternate Hyp
(
m
1
π
ππ
πm
2
, m
1
<
<<
<m
2
, m
1
>
>>
>m
2
)
Three alternate hypotheses against which the null hypothesis (H
0
: m
1
=m
2
may be tested.
Pooled
(YES, NO)
Specifies whether or not the variances are to be pooled for the
calculation.
YES
= variances pooled. Population variances are assumed to
be equal. Select NO = variances not pooled. Population variances can be
unequal.
Results
(Calculate or Draw)
Calculate:
Display numerical and symbolic test results in a dialog box.
Draw: Draw a graph of the test results.