Casio SERIES FX-9860G - Manual (Page 318)

20070201
u 2-Sample Z Test
This test is used when the standard deviations for two populations are known to test the
hypothesis. The 2-Sample
Z Test is applied to the normal distribution.
¯x
1
: mean of sample 1
¯x
2
: mean of sample 2
σ
1
: population standard deviation of sample 1
σ
2
: population standard deviation of sample 2
n
1
: size of sample 1
n
2
: size of sample 2
Perform the following key operations from the statistical data list.
3(TEST)
1(Z)
2(2-S)
The following shows the meaning of each item in the case of list data specifi cation.
Data.............................. data type
μ
1
................................. population mean value test conditions (“
G μ
2
” specifi es
two-tail test, “<
μ
2
” specifi es one-tail test where sample 1 is
smaller than sample 2, “>
μ
2
” specifi es one-tail test where
sample 1 is greater than sample 2.)
σ
1
................................. population standard deviation of sample 1 (
σ
1
> 0)
σ
2
................................. population standard deviation of sample 2 (
σ
2
> 0)
List(1) ........................... list whose contents you want to use as sample 1 data
(List 1 to 26)
List(2) ........................... list whose contents you want to use as sample 2 data
(List 1 to 26)
Freq(1).......................... frequency of sample 1 (1 or List 1 to 26)
Freq(2).......................... frequency of sample 2 (1 or List 1 to 26)
Save Res ...................... list for storage of calculation results (None or List 1 to 26)
Execute ........................ executes a calculation or draws a graph
Z =
o
1
– o
2
σ
n
1
1
2 σ
n
2
2
2
+
Z =
o
1
– o
2
σ
n
1
1
2 σ
n
2
2
2
+
6-5-5
Tests