7-9-6 Tests

kt Test

1-Sample t Test

Command: OneSampleTTest￿

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

t =

o – ∝ 0

o

: mean of sample data

 

xσn–1

∝0

: assumed population mean

 

 

 

 

 

 

xσn-1 : sample standard deviation

 

 

 

n

 

 

 

 

 

 

 

n

: sample size

Command Syntax

Syntax 1 (list format)

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

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

Syntax 2 (parameter format)

“∝ condition”, ∝0 value, o value, xσn–1value, 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

List :

data list

Freq :

frequency (1 or list name)

o :

mean of sample data

xσn-1 :

sample standard deviation (xσn-1> 0)

n :

sample size (positive integer)

Input Example:

Syntax 1 (list format)

OneSampleTTest “≠”,11.3,list1,1

Syntax 2 (parameter format)

OneSampleTTest “≠”,11.3,11.52,0.62,5

Calculation Result Output

∝≠ 11.3 : test condition

t :

t value

p :

p-value

o :

mean of sample data

xσ n–1 :

sample standard deviation

n :

sample size

20050501