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8/11/2019 Chapter 8 Sampling Distribution
http://slidepdf.com/reader/full/chapter-8-sampling-distribution 1/5
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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
H"&'& .2 4/:&'%#./%< #/;@#'.#3.-.%< ./ 54' &2%.,#%&26'5, 2#,$-&2
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7&#/ 56 # '#/;5,
2#,$-& ,#< ;.66&' 6'5,$5$4-#%.5/ ,&#/
Figure: Sample of 16 observations from a
Normal distribution with mean 0
and standard deviation 1
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8/11/2019 Chapter 8 Sampling Distribution
http://slidepdf.com/reader/full/chapter-8-sampling-distribution 2/5
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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
N"#% .2 %"& ,&#/ 65' &#:" 56 %"& ".2%50'#,2J O$$'5C.,#%&-< GAM
N"#% ;5 <54 /5%.:& #354% %"& 2%#/;#'; ;&@.#%.5/65' &#:" 56 %"& ".2%50'#,2J H"& 2%#/;#'; ;&@.#%.5/ ;&:'&2 >.%" ./:'&; 2#,$-&
2.K&
N"#% ;5 <54 /5%.:& #354% %"& 2"#$& 56 %"&".2%50'#,2J H"& 2"#$& 56 %"& ;.2%'.34%.5/ #$$&#'2 ,5'& P5',#--<
;.2%'.34%&; #2 %"& 2#,$-& 2.K& ./:'&2
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
Sample means n=10100
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
Sample means n=30200
100
0
Std. Dev = .37
Mean = 2.00
N= 1000.00
8/11/2019 Chapter 8 Sampling Distribution
http://slidepdf.com/reader/full/chapter-8-sampling-distribution 3/5
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8/11/2019 Chapter 8 Sampling Distribution
http://slidepdf.com/reader/full/chapter-8-sampling-distribution 4/5
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8/11/2019 Chapter 8 Sampling Distribution
http://slidepdf.com/reader/full/chapter-8-sampling-distribution 5/5
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