TI-89 / TI-92 Plus / Voyage™ 200 PLT Statistics with List Editor App ˆ Tests Menu 144
Z-Test
Description
2 ˆ (Tests) Æ 1:Z-Test for the TI-89
ˆ (Tests) Æ 1:Z-Test for the TI-92 Plus / Voyage™ 200 PLT
Z.Test (one-sample z test) performs a hypothesis test for a single unknown population
mean
m when the population standard deviation s is known. It tests the null hypothesis
H
0
: m=m
0
against one of the alternatives below.
¦ H
a
: mƒm
0
¦ H
a
: m<m
0
¦ H
a
: m>m
0
Data Inputs
m0 Hypothesized population mean for data sequence in List.
s Population standard deviation for data sequence in List.
List List containing the data used in the calculations.
Freq Frequency values for the data in List. 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
(mπ
ππ
πm0, m<
<<
<m0, m>
>>
>m0)
Three alternate hypotheses against which the null hypothesis (H
0
: m=m
0
)
may be tested.
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
m0 Known population mean for data sequence in List.
s Known population standard deviation for data sequence in List.
x Sample mean of the data sequence in List.
n Size of the sample.
Alternate Hyp
(mπ
ππ
πm0, m<
<<
<m0, m>
>>
>m0)
Three alternate hypotheses against which the null hypothesis may be
tested.
Results
(Calculate or Draw)
Calculate: Display numerical and symbolic test results in a dialog box.
Draw: Draw a graph of the test results.
Data and Stats Outputs
Outputs Stored to Description
m0 m0 Known population mean for data sequence x.
z z (x - m
0
)/( s / ‡(n))
P Value P Value Least probability at which the null hypothesis can be rejected.
x x_bar Sample mean of the data sequence in List.
Sx sx_ Sample standard deviation of the data sequence. Only returned for Data
input.
n n Size of the sample.
s s Population standard deviation of the data sequence.