6-5-11 Tests

u 1-Sample t Test

This test uses the hypothesis test for a single unknown population mean when the population standard deviation is unknown. The 1-Samplet Test is applied to t-distribution.

t =

o – μ0

x¯

: mean of sample

 

σ

μ0

: assumed population mean

 

 

x n–1

xσn-1 : sample standard deviation

 

 

 

 

 

 

 

 

 

n

 

 

 

 

 

 

 

n

: size of sample

Perform the following key operations from the statistical data list.

3(TEST)

2(t)

1(1-S)

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

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

data type

μ ..................................

population mean value test conditions (“G μ0” specifies two-

 

tail test, “< μ0” specifies lower one-tail test, “> μ0” specifies

 

upper one-tail test.)

μ0 .................................

assumed population mean

List ...............................

list whose contents you want to use as data (List 1 to 26)

Freq..............................

frequency (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

The following shows the meaning of parameter data specification items that are different from list data specification.

x¯ ..................................

mean of sample

xσn-1 .............................

sample standard deviation (xσn-1> 0)

n ..................................

size of sample (positive integer)

After setting all the parameters, use c to move the highlighting to “Execute” and then press one of the function keys shown below to perform the calculation or draw the graph.

• 1(CALC) ... Performs the calculation.

• 6(DRAW) ... Draws the graph.

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