Casio fx-9860G Series - 2-Sample Z Test

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.
¯x1 : mean of sample 1
¯x2 : mean of sample 2
σ 1 : population standard deviation of sample 1
σ 2 : population standard deviation of sample 2
n1 : size of sample 1
n2 : 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