6-5-5 Tests

u 2-Sample Z Test

This test is used when the standard deviations for two populations are known to test the hypothesis. The 2-SampleZ Test is applied to the normal distribution.

Z = o1

– o2

o1

: mean of sample 1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

o2

: mean of sample 2

 

 

 

 

 

 

 

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

Perform the following key operations from the statistical data list.

3(TEST)

1(Z)

2(2-S)

The following shows the meaning of each item in the case of list data specification.

Data ............................

data type

∝1 .................................

population mean value test conditions (“G∝2” specifies two-

 

tail test, “< ∝2” specifies one-tail test where sample 1 is

 

smaller than sample 2, “> ∝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 whose contents you want to use as sample 1 data

 

(List 1 to 26)

List(2) ..........................

list whose contents you want to use as sample 2 data

 

(List 1 to 26)

Freq(1) ........................

frequency of sample 1 (1 or List 1 to 26)

Freq(2) ........................

frequency of sample 2 (1 or List 1 to 26)

Save Res ....................

list for storage of calculation results (None or List 1 to 26)

Execute .......................

executes a calculation or draws a graph

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