Chapter 8 Sampling Distribution

8/11/2019 Chapter 8 Sampling Distribution

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STANDARD

2.50

2.00

1.50

1.00

.50

0.00

-.50

-1.00

-1.50

-2.00

-2.50

Histogram5

4

3

2

1

0

Std. Dev = 1.26

Mean = .05

N= 16.00

G

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Figure: Sample of 16 observations from a

Normal distribution with mean 0

and standard deviation 1

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ONE

6.05.04.03.02.01.0

1000 rolls of 1 die300

200

100

0

Std. Dev =1.48

Mean =3.5

N=1000.00

M

TWO

6.05.04.03.02.01.0

1000 means of 2 dice

400

300

200

100

0

Std.Dev =1.04

Mean= 3.5

N=1000.00

FOUR

6.005.50

5.004.50

4.003.50

3.002.50

2.001.50

1000 means of 4 dice300

200

100

0

Std. Dev = .76

Mean = 3.51

N= 1000.00

TEN

5.504.50

3.502.50

1.50

1000 means of 10 dice400

300

200

100

0

Std. Dev = .49

Mean = 3.51

N= 1000.00

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Q

ONENORMA

4 . 0 0 3 . 5 0

3 . 0 0 2 . 5 0

2 . 0 0 1 . 5 0

1 . 0 0 . 5 0

0 . 0 0 - . 5 0

- 1 . 0 0

- 1 . 5 0

- 2 . 0 0

- 2 . 5 0

- 3 . 0 0

Original Distribution120

100

80

60

40

20

0

Std. Dev =.95

Mean =-.00

N=1000.00

R

TWONORMA

2 . 5 0 2 . 2 5

2 . 0 0 1 . 7 5

1 . 5 0 1 . 2 5

1 . 0 0 . 7 5

. 5 0 . 2 5

0 . 0 0 - . 2 5

- . 5 0 - . 7 5

- 1 . 0 0

- 1 . 2 5

- 1 . 5 0

- 1 . 7 5

- 2 . 0 0

Sample means n=2140

120

100

80

60

40

20

0

Std.Dev =.73

Mean=-.00

N= 1000.00

TENNORMA

. 8 8 . 7 5

. 6 3 . 5 0

. 3 8 . 2 5

. 1 3 0 . 0 0

- . 1 3 - . 2 5

- . 3 8 - . 5 0

- . 6 3 - . 7 5

- . 8 8

- 1 . 0 0

Sample means n=10100

80

60

40

20

0

Std. Dev = .32

Mean = .03

N= 1000.00

ONESKEW

1 3 . 0 0

1 2 . 0 0

1 1 . 0 0

1 0 . 0 0

9 . 0 0

8 . 0 0

7 . 0 0

6 . 0 0

5 . 0 0

4 . 0 0

3 . 0 0

2 . 0 0

1 . 0 0

0 . 0 0

Original population300

200

100

0

Std. Dev =2.12

Mean=2.10

N= 1000.00

)

TWOSKEW

1 0 . 0 0

9 . 0 0 8 . 0 0

7 . 0 0 6 . 0 0

5 . 0 0 4 . 0 0

3 . 0 0 2 . 0 0

1 . 0 0 0 . 0 0

Sample means n=2200

100

0

Std.Dev =1.45

Mean=2.03

N= 1000.00

TENSKEW

4 . 6 3 4 . 3 8

4 . 1 3 3 . 8 8

3 . 6 3 3 . 3 8

3 . 1 3 2 . 8 8

2 . 6 3 2 . 3 8

2 . 1 3 1 . 8 8

1 . 6 3 1 . 3 8

1 . 1 3 . 8 8

. 6 3


80

60

40

20

0

Std. Dev = .62

Mean = 2.00

N= 1000.00

THIRY

3.50

3.25

3.00

2.75

2.50

2.25

2.00

1.75

1.50

1.25

1.00


100

0

Std. Dev = .37

Mean = 2.00

N= 1000.00



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Chapter 8 Sampling Distribution

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