7-9-3 Tests

2-Sample Z Test

Command: TwoSampleZTest ￿

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 =

 

o1

– o2

o1

: mean of sample 1 data

 

 

 

 

 

 

o2

: mean of sample 2 data

 

 

σ 2

σ 2

 

 

 

1

+

2

 

 

σ1

: population standard deviation of sample 1

 

 

 

 

 

 

 

n1

n2

 

 

 

σ2

: population standard deviation of sample 2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

n1

: size of sample 1

 

 

 

 

 

 

 

n2

: size of sample 2

Command Syntax

Syntax 1 (list format)

“∝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)

“∝1 condition”, σ 1 value, σ 2 value, o1 value, n1 value, o2 value, n2 value

Definition of Terms

∝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).

σ1 :population standard deviation of sample 1 (σ1 > 0)

σ2 :population standard deviation of sample 2 (σ2 > 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

20050501