7-9-8 Tests

kt Test

1-Sample t Test

Menu: [Test]������������������-[One-Sample ������TTest]

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

: sample mean

 

x

n —1

μ0

: assumed population mean

 

 

 

n

 

xσn−1 : sample standard deviation

 

 

 

 

 

 

n

: sample size

Definition of Terms

 

 

 

 

 

 

 

μ condition :

population mean value test conditions (“≠” specifies two-tail test, “<”

μ0 :

 

 

specifies lower one-tail test, “>” specifies upper one-tail test.)

 

 

assumed population mean

 

 

List :

 

 

data list

 

 

Freq :

 

 

frequency (1 or list name)

 

 

o :

 

 

sample mean

 

 

xσn−1 :

 

 

sample standard deviation (xσn−1 > 0)

n :

 

 

sample size (positive integer)

 

 

Calculation Result Output

μ≠ 11.3 : test condition

t : t value

p : p-value

o : sample mean

xσn–1 : sample standard deviation

n : sample size

Example 1 (calculation with list)

List : { 330, 240, 260, 390, 400, 360, 200, 180, 300 }

Assumed population mean : 250

•Statistics Wizard Operation

(1)Input the data into [list1] in the Stat Editor.

(2)On the menu bar, tap [Calc] and then [Test].

(3) Select [One-Sample TTest] and [List], and then

tap [Next >>].

(4)Select the μ condition [≠] and input μ0 250.

(5)Select List [list1] and Freq [1].

(6)Tap [Next >>].

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