Casio ALGEBRA FX2.0 Advanced Statistics Examples 2 User Manual

Page 14

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39

examples

○ ○ ○ ○ ○

Example

Factory A and Factory B both manufacture the same item. To compare
the productivity of the two factories, the production data shown below
was collected for 10 items at Factory A and nine items at Factory B.

Factory A: 78, 80, 79, 83, 82, 85, 78, 74, 76, 84

(kg/h)

Factory B: 81, 84, 82, 88, 86, 83, 78, 84, 89

(kg/h)

Construct a 95% confidence interval for the difference between

µ

1

and

µ

2

when the following is assumed:

σ

1

2

=

σ

2

2

is uncertain, Factory A

population distribution is N(

µ

1

,

σ

1

2

), and Factory B population

distribution is N(

µ

2

,

σ

2

2

).

Procedure

1

m

STAT2

2 hi

wiawhjwidwicw

if

whiwhewhgwiew

e
ib

wiewicwiiwigw

id

whiwiewijw

3

4

(INTR)

c

(T)

c

(2-Smpl)

4

1

(LIST)

c

.jf

w

1

(LIST)

b

wc

1

(LIST)

c

wc

1

(1)

c

1

(1)

c

2

(Off)

c

1

(None)

c

4

1

(CALC)

Result Screen

Thus, the 95% confidence interval for

µ

1

-

µ

2

becomes -7.4<

µ

1

-

µ

2

<-0.6 .

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