7-9-2 Tests

Test Command List

kZ Test

1-Sample Z Test

Command: OneSampleZTest￿

Description: Tests a hypothesis relative to a population mean when population standard deviation is known. A 1-Sample Z Test is used for normal distribution.

Z =

o – ∝0

o

: mean of sample data

 

 

σ

 

∝0

: assumed population mean

 

 

 

 

 

 

: population standard deviation

 

 

 

n

σ

 

 

 

 

 

 

n

: sample size

Command Syntax

Syntax 1 (list format)

“∝ condition”, ∝0 value, σ value, List, Freq (or 1)

* “Freq” can be omitted. Doing so sets “1” for “Freq”.

Syntax 2 (parameter format)

“∝ condition”, ∝0 value, σ value, o value, n value

Definition of Terms

∝condition : population mean value test conditions (“≠” specifies two-tail test, “<”specifies lower one-tail test, “>” specifies upper one-tail test.)

∝0 :assumed population mean

σ:population standard deviation (σ > 0)

List :

data list

Freq :

frequency (1 or list name)

o :

mean of sample data

n :

sample size (positive integer)

Input Example:

Syntax 1 (list format)

OneSampleZTest “≠”,0,1,list1,1

Syntax 2 (parameter format)

OneSampleZTest “≠”,0,1,11.82,1

Calculation Result Output

∝≠ 0: test condition

z :

z value

p :

p-value

o:

mean of sample data

xσ n–1: sample standard deviation (Displayed only for list format.)

n: sample size

20021201