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

: 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.

..................................

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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