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u u u u 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
o
Z =
σ
n
Perform the following key operations from the statistical data list.
3(TEST)
b(Z)
c(2-Smpl)
The following shows the meaning of each item in the case of list data specification.
Data ............................ data type
µ
................................. population mean value test conditions ("G µ
1
σ
................................. population standard deviation of sample 1 ( σ
1
σ
................................. population standard deviation of sample 2 ( σ
2
List(1) .......................... list whose contents you want to use as sample 1 data
List(2) .......................... list whose contents you want to use as sample 2 data
Freq(1) ........................ frequency of sample 1 (1 or List 1 to 20)
Freq(2) ........................ frequency of sample 2 (1 or List 1 to 20)
Save Res ..................... list for storage of calculation results (None or List 1 to 20)
Execute ....................... executes a calculation or draws a graph
The following shows the meaning of parameter data specification items that are different
from list data specification.
1-2-5
Tests (TEST)
Z
Test is applied to the normal distribution.
– o
o
: mean of sample 1
1
1
2
o
: mean of sample 2
σ
2
2
2
σ
1
2
+
: population standard deviation of sample 1
1
n
σ
1
2
: population standard deviation of sample 2
2
n
: size of sample 1
1
n
: size of sample 2
2
tail test, "< µ
" specifies one-tail test where sample 1 is
2
smaller than sample 2, "> µ
sample 1 is greater than sample 2.)
(List 1 to 20)
(List 1 to 20)
20011101
20010101
" specifies two-
2
" specifies one-tail test where
2
> 0)
1
> 0)
2
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