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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
Tes ts