7-10-3

Confidence Intervals

Example 2 (calculation with parameter)

Mean : 300

Sample size : 6

Population standard deviation : 3

Significance level : 5% ( = confidence level : 95%)

Statistics Wizard Operation

(1)On the menu bar, tap [Calc] and then [Interval].

(2)Select [One-Sample ZInt] and [Variable], and then tap [Next >>].

(3)Input values.

(4)Tap [Next >>].

uProgram, eActivity or Main Application

Command: OneSampleZInt 

Command Syntax

Syntax 1 (list format)

C-Level value,  value, List, Freq (or 1)

* “Freq” can be omitted. Doing so sets “1” for “Freq”.

Syntax 2 (parameter format)

C-Level value,  value, o value, n value

Input Example:

Syntax 1 (list format)

OneSampleZInt 0.95,3,list1,1

Syntax 2 (parameter format)

OneSampleZInt 0.95,3,300,6

2-Sample Z Interval

Menu: [Interval]-[Two-Sample ZInt]

Description: This command obtains the confidence interval for the difference between population means when the population standard deviations of two populations are known.

The confidence interval is obtained using the following expressions.

The confidence level is 100 (1 – α)%.

 

 

α

 

 

 

 

 

 

 

 

 

 

 

Lower = (o1

o2) Z

 

 

 

 

σ 2

 

σ 2

 

 

 

 

1

 

+

2

 

 

2

 

 

 

 

 

 

 

n2

 

 

 

 

 

 

n1

 

 

 

α

 

 

 

 

 

 

 

 

 

 

Upper = (o1

o2) + Z

 

 

 

 

σ

2

 

σ 2

 

 

 

1

 

+

 

2

 

 

2

 

 

 

 

 

 

 

 

n2

 

 

 

 

 

 

n1

 

o1 : sample mean of sample 1 data

o2 : sample mean of sample 2 data

1 : population standard deviation of sample 1

2 : population standard deviation of sample 2

n1 : size of sample 1

n2 : size of sample 2

20090601