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C= x – Casio fx-9750G PLUS User Manual

Page 313

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285

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u

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2-Sample t Test

2-Sample

t

Test compares the population means when the population standard

deviations are unknown. The

2-Sample

t

Test is applied to

t

-distribution.

The following applies when pooling is in effect.

t

=

o

1

– o

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–12

+(n

2

–1)x

2 n–12

σ

σ

df

=

n

1

+

n

2

– 2

The following applies when pooling is not in effect.

t

=

o

1

– o

2

x

1 n–1

2

σ

n

1

+

x

2 n–1

2

σ

n

2

df

=

1

C

2

n

1

–1

+

(1–C )

2

n

2

–1

C

=

x

1 n–1

2

σ

n

1

+

x

2 n–1

2

σ

n

2

x

1 n–1

2

σ

n

1

Perform the following key operations from the statistical data list.

3

(TEST)

2

(

t

)

2

(2-S)

Tests

18 - 6

o

1

: sample 1 mean

o

2

: sample 2 mean

x

1

σ

n

-1

: sample 1 standard

deviation

x

2

σ

n

-1

: sample 2 standard

deviation

n

1

: sample 1 size

n

2

: sample 2 size

x

p

σ

n

-1

: pooled sample standard

deviation

df

: degrees of freedom

o

1

: sample 1 mean

o

2

: sample 2 mean

x

1

σ

n

-1

: sample 1 standard

deviation

x

2

σ

n

-1

: sample 2 standard

deviation

n

1

: sample 1 size

n

2

: sample 2 size

df

: degrees of freedom

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