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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.
Z =
o
1
– o
2
σ
n
1
1
2
σ
n
2
2
2
+
o1 : mean of sample 1
o2 : 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 specification.
Data ............................ data type
µ
1................................. population mean value test conditions (“G
µ
2” specifies two-
tail test, “<
µ
2” specifies one-tail test where sample 1 is
smaller than sample 2, “>
µ
2” specifies 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
6-5-5
Tests