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)

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

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

 

 

1

: mean of sample 1

 

 

 

 

1

 

 

 

2

 

 

 

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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