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UNR, MATH/STAT 352, Spring 2007
34

UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

Dec 21, 2015

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Page 1: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

Page 2: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

Page 3: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

Page 4: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

Page 5: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

Page 6: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

Page 7: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

2 summands

UNR, MATH/STAT 352, Spring 2007

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3 summands

UNR, MATH/STAT 352, Spring 2007

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4 summands

UNR, MATH/STAT 352, Spring 2007

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5 summands

UNR, MATH/STAT 352, Spring 2007

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6 summands

UNR, MATH/STAT 352, Spring 2007

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7 summands

UNR, MATH/STAT 352, Spring 2007

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8 summands

UNR, MATH/STAT 352, Spring 2007

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9 summands

UNR, MATH/STAT 352, Spring 2007

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10 summands

UNR, MATH/STAT 352, Spring 2007

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20 summands

UNR, MATH/STAT 352, Spring 2007

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30 summands

UNR, MATH/STAT 352, Spring 2007

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40 summands

UNR, MATH/STAT 352, Spring 2007

Page 19: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

50 summands

UNR, MATH/STAT 352, Spring 2007

Page 20: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

100 summands

UNR, MATH/STAT 352, Spring 2007

Page 21: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

1000 summands

UNR, MATH/STAT 352, Spring 2007

Page 22: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

Page 23: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

Consider Normal random variable X with mean 5 and variance 1

Page 24: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

7.56.55.54.53.5

99

95

90

80

7060504030

20

10

5

1

Data

Per

cent

Normal Probability Plot for 10 observations

ML Estimates

Mean:

StDev:

5.54806

0.632073

Page 25: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

8765432

99

95

90

80

7060504030

20

10

5

1

Data

Per

cent

Normal Probability Plot for 50 observations

ML Estimates

Mean:

StDev:

4.90914

1.10260

Page 26: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

8765432

99

9590

80706050403020

10 5

1

Data

Per

cent

Normal Probability Plot for 500 observations

ML Estimates

Mean:

StDev:

4.97043

0.967118

Page 27: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

Consider Normal random variable X with mean 5 and variance 1,

consider now Y = X2

Page 28: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

55453525155

99

95

90

80

7060504030

20

10

5

1

Data

Per

cent

Normal Probability Plot for 10 observations

ML Estimates

Mean:

StDev:

31.1804

7.71668

Page 29: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

50403020100

99

95

90

80

7060504030

20

10

5

1

Data

Per

cent

Normal Probability Plot for 50 observations

ML Estimates

Mean:

StDev:

25.3154

11.0370

Page 30: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

6040200

99

9590

80706050403020

10 5

1

Data

Per

cent

Normal Probability Plot for 500 observations

ML Estimates

Mean:

StDev:

25.6405

9.75542

Page 31: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

Consider Normal random variable X with mean 5 and variance 1,

consider now Y = (X-5)2

Page 32: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

6543210-1-2-3-4

99

95

90

80

7060504030

20

10

5

1

Data

Per

cent

Normal Probability Plot for 10 observations

ML Estimates

Mean:

StDev:

0.699882

1.45573

Page 33: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

76543210-1-2-3

99

95

90

80

7060504030

20

10

5

1

Data

Per

cent

Normal Probability Plot for 50 observations

ML Estimates

Mean:

StDev:

1.22399

1.67449

Page 34: UNR, MATH/STAT 352, Spring 2007. 2 summands UNR, MATH/STAT 352, Spring 2007.

UNR, MATH/STAT 352, Spring 2007

1050

99

9590

80706050403020

10 5

1

Data

Per

cent

Normal Probability Plot for 500 observations

ML Estimates

Mean:

StDev:

0.936192

1.30413