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20060301
2-Sample
Z
Test
Menu: [Test]-[Two-Sample ZTest][Test]-[Two-Sample ZTest]
Description: Tests a hypothesis relative to the population mean of two populations when
the standard deviations of the two populations are known. A 2-Sample
Z
Test
is used for normal distributions.
Z =
o
1
—
o
2
n
1
1
2
n
2
2
2
+
o
1
: sample mean of sample 1 data
o
2
: sample mean of sample 2 data
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
Definition of Terms
μ
1
condition : population mean value test conditions (“
≠
” specifies two-tail test,
“<” specifies one-tail test where sample 1 is less than sample 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 where sample 1 data is located
List(2) : list where sample 2 data is located
Freq(1) : frequency of sample 1 (1 or list name)
Freq(2) : frequency of sample 2 (1 or list name)
o
1
: sample mean of sample 1 data
n
1
: size of sample 1 (positive integer)
o
2
: sample mean of sample 2 data
n
2
: size of sample 2 (positive integer)
Calculation Result Output
μ
1
≠
μ
2
: test condition
z
:
z
value
p
:
p
-value
o
1
: sample mean of sample 1 data
o
2
: sample mean of sample 2 data
x
1
σ
n
−1
: sample standard deviation of sample 1 (Displayed only for list format.)
x
2
σ
n
−1
: sample standard deviation of sample 2 (Displayed only for list format.)
n
1
: size of sample 1
n
2
: size of sample 2
7-9-4
Tests
20070301