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20050501
7-10-6
Confidence Intervals
k t Confidence Interval
1-Sample t Interval
Command: OneSampleTInt䡺
Description: This command obtains the confidence interval for the population mean when
the population standard deviation is unknown.
The confidence interval is obtained using the following expressions.
The confidence level is 100 (1 –
α
)%.
Left = o– t
n
–
1
α
2
Right = o+ t
n
–
1
α
2
x
n–1
σ
n
x
n–1
σ
n
Command Syntax
Syntax 1 (list format)
C-Level value, List, Freq (or 1)
* “Freq” can be omitted. Doing so sets “1” for “Freq”.
Syntax 2 (parameter format)
C-Level value, o value, x
σ
n-1 value, n value
Definition of Terms
C-Level : confidence level (0 < C-Level < 1)
List : list where sample data is located
Freq : frequency of sample (1 or list name)
o : mean of sample data
x
σ
n-1 : sample standard deviation (x
σ
n-1 > 0)
n : sample size (positive integer)
Input Example:
Syntax 1 (list format)
OneSampleTInt 0.95,list1,1
Syntax 2 (parameter format)
OneSampleTInt 0.95,66.3,8.4,12
Calculation Result Output
Left : interval lower limit (left edge)
Right : interval upper limit (right edge)
o : mean of sample data
x
σ
n–1 : sample standard deviation
n : sample size
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