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Left = ( o, Z α 2 right = ( o, Z α 2 n – Casio ClassPad 300 User Manual

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20021201

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 (Displayed only for list format.)

n

:

sample size

2-Sample

Z

Interval

Command:

TwoSampleZInt

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)%.

Left = (

o

1

o

2

) – Z α

2

Right = (

o

1

o

2

) + Z α

2

n

1

1

2

σ

+

n

2

2

2

σ

n

1

1

2

σ

+

n

2

2

2

σ

o

1

: mean of sample 1 data

o

2

: mean of sample 2 data

σ

1

: population standard deviation of

sample 1

σ

2

: population standard deviation of

sample 2

n

1

: size of sample 1

n

2

: size of sample 2

Command Syntax

Syntax 1 (list format)

C-Level value, σ

1

value, σ

2

value, List(1), List(2), Freq(1) (or 1), Freq(2) (or 1)

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

Syntax 2 (parameter format)

C-Level value, σ

1

value, σ

2

value,

o

1

value,

n

1

value,

o

2

value,

n

2

value

Definition of Terms

C-Level : confidence level (0 < C-Level < 1)
σ

1

:

population standard deviation of sample 1 (σ

1

> 0)

σ

2

:

population standard deviation of sample 2 (σ

2

> 0)

List(1) :

list where sample 1 data is located

List(2) :

list where sample 2 data is located

Freq(1) : frequency of sample 1 (1 or list name)
Freq(2) : frequency of sample 2 (1 or list name)

o

1

:

mean of sample 1 data

n

1

:

size of sample 1 (positive integer)

o

2

:

mean of sample 2 data

n

2

:

size of sample 2 (positive integer)

7-10-3

Confidence Intervals