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7-9-3
Tests
2-Sample Z Test
Command: TwoSampleZTestⅪ
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
σ
n
1
1
2
σ
n
2
2
2
+
o1 : mean of sample 1 data
o2 : mean of sample 2 data
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
Command Syntax
Syntax 1 (list format)
“
µ
1 condition”,
σ
1 value,
σ
2 value, List(1), List(2), Freq(1) (or 1), Freq(2) (or 1)
* “Freq” can be omitted. Doing so sets “1” for “Freq”.
Syntax 2 (parameter format)
“
µ
1 condition”,
σ
1 value,
σ
2 value, o1 value, n1 value, o2 value, n2 value
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)
o1 : mean of sample 1 data
n1 : size of sample 1 (positive integer)
o2 : mean of sample 2 data
n2 : size of sample 2 (positive integer)
Input Example:
Syntax 1 (list format)
TwoSampleZTest “≠”,1,1,list1,list2,1,1
Syntax 2 (parameter format)
TwoSampleZTest “≠”,1,1,11.5,10,15,20