6-6-4

Confidence Interval

After setting all the parameters, use c to move the highlighting to “Execute” and then press the function key shown below to perform the calculation.

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

Calculation Result Output Example

Left ..............................confidence interval lower limit (left edge)
Right ............................

confidence interval upper limit (right edge)

x¯ ..................................

mean of sample

xσn-1 .............................

sample standard deviation

 

(Displayed only for Data: List setting.)

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

size of sample

u 2-Sample Z Interval

2-SampleZ Interval calculates the confidence interval for the difference between two population means when the population standard deviations of two samples are known.

The following is the confidence interval. α is the level of significance. The value 100 (1 – α) % is the confidence level.

Left = (o1 – o2) – Z

α

 

 

σ 2

+

 

σ 2

 

 

x¯ 1

: mean of sample 1

 

 

 

 

1

 

 

 

2

 

 

 

x¯ 2

: mean of sample 2

 

2

 

 

 

n1

 

 

n2

 

 

 

 

 

α

 

 

 

 

 

 

 

 

 

 

 

 

 

 

σ1

: population standard deviation

Right = (o1 – o2) + Z

 

 

 

 

 

σ 2

+

σ 2

 

of sample 1

 

 

 

 

 

 

 

 

 

1

 

2

 

 

 

2

 

 

 

 

n1

 

n2

 

σ2

: population standard deviation

of sample 2

n1 : size of sample 1

n2 : size of sample 2

Perform the following key operations from the statistical data list.

4(INTR)

1(Z)

2(2-S)

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