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Uu 2-sample, Interval, Left = ( o – Casio fx-9860G SD User Manual

Page 344: T α 2 right = ( o, T α 2, 1 + n, 2 ( n, 1) x

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20050401

o

.................................. mean of sample

x

σ

n

-1

............................. sample standard deviation (

x

σ

n

-1

> 0)

n

.................................. size of sample (positive integer)

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)

o

.................................. mean of sample

x

σ

n

-1

............................. sample standard deviation

n

.................................. size of sample

u

u

u

u

u 2-Sample

t

Interval

2-Sample

t

Interval calculates the confidence interval for the difference between two

population means when both population standard deviations are unknown. The

t

interval is

applied to

t

distribution.

The following confidence interval applies when pooling is in effect.

α

is the level of significance.

The value 100 (1 –

α

) % is the confidence level.

Left = (

o

1

o

2

)– t

α

2

Right = (

o

1

o

2

)+ t

α

2

n

1

+n

2

–2

n

1

1 +

n

2

1

x

p

n

–1

2

σ

n

1

+n

2

–2

n

1

1 +

n

2

1

x

p

n

–1

2

σ

x

p n

–1

=

σ

n

1

+ n

2

2

(n

1

–1)x

1 n –1

2

+(n

2

–1) x

2 n –1

2

σ

σ

6-6-9

Confidence Interval