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UNR, MATH/STAT 352, Spring 2007

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

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UNR, MATH/STAT 352, Spring 2007

UNR, MATH/STAT 352, Spring 2007

UNR, MATH/STAT 352, Spring 2007

UNR, MATH/STAT 352, Spring 2007

UNR, MATH/STAT 352, Spring 2007

UNR, MATH/STAT 352, Spring 2007

2 summands

UNR, MATH/STAT 352, Spring 2007

3 summands

UNR, MATH/STAT 352, Spring 2007

4 summands

UNR, MATH/STAT 352, Spring 2007

5 summands

UNR, MATH/STAT 352, Spring 2007

6 summands

UNR, MATH/STAT 352, Spring 2007

7 summands

UNR, MATH/STAT 352, Spring 2007

8 summands

UNR, MATH/STAT 352, Spring 2007

9 summands

UNR, MATH/STAT 352, Spring 2007

10 summands

UNR, MATH/STAT 352, Spring 2007

20 summands

UNR, MATH/STAT 352, Spring 2007

30 summands

UNR, MATH/STAT 352, Spring 2007

40 summands

UNR, MATH/STAT 352, Spring 2007

50 summands

UNR, MATH/STAT 352, Spring 2007

100 summands

UNR, MATH/STAT 352, Spring 2007

1000 summands

UNR, MATH/STAT 352, Spring 2007

UNR, MATH/STAT 352, Spring 2007

UNR, MATH/STAT 352, Spring 2007

Consider Normal random variable X with mean 5 and variance 1

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

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

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

UNR, MATH/STAT 352, Spring 2007

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

consider now Y = X2

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

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

6040200

99

9590

80706050403020

10 5

1

Data

Per

cent

Normal Probability Plot for 500 observations

ML Estimates

Mean:

StDev:

25.6405

9.75542

UNR, MATH/STAT 352, Spring 2007

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

consider now Y = (X-5)2

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

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

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