Appendix - WebAssign

Appendix

Appendix

Statistical Tables

Table 1 Random Numbers 786 Table 2 Standard Normal Probabilities (Cumulative z Curve Areas) 788 Table 3 t Critical Values 790 Table 4 Tail Areas for t Curves 791 Table 5 Curves of b P(Type II Error) for t Tests 794 Table 6 Values That Capture Specified Upper-Tail F Curve Areas 795 Table 7 Critical Values of q for the Studentized Range Distribution 799 Table 8 Upper-Tail Areas for Chi-Square Distributions 800 Table 9 Binomial Probabilities 802

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Appendix Statistical Tables

Appendix: Statistical Tables

TABLE 1 Random Numbers

Row

1

45 1 8 5 0 3 3 7 1 2 8 4 5 1 1 0 9 5 7

2

42 5 5 8 0 4 5 7 0 7 0 3 6 6 1 3 1 3 1

3

89 9 3 4 3 5 0 6 3 9 1 1 8 2 6 9 2 0 9

4

89 0 7 2 9 9 0 4 7 6 7 4 7 1 3 4 3 5 3

5

57 3 1 0 3 7 4 7 8 5 2 0 1 3 7 7 6 3 6

6

09 3 8 7 6 7 9 9 5 6 2 5 6 5 8 4 2 6 4

7

41 0 1 0 2 2 0 4 7 5 1 1 9 4 7 9 7 5 1

8

64 7 3 6 3 4 5 1 2 3 1 1 8 0 0 4 8 2 0

9

80 2 8 7 9 3 8 4 0 4 2 0 8 9 1 2 3 3 2

10

94 6 0 6 9 7 8 8 2 5 2 9 6 0 1 4 6 0 5

11

66 9 5 7 4 4 6 3 2 0 6 0 8 9 1 3 6 1 8

12

07 1 7 7 7 2 9 7 8 7 5 8 8 6 9 8 4 1 0

13

61 3 0 9 7 3 3 6 6 0 4 1 8 3 2 6 7 6 8

14

22 3 6 2 1 3 0 2 2 6 6 9 7 0 2 1 2 5 8

15

07 1 7 4 2 0 0 0 1 3 1 2 0 4 7 8 4 1 0

16

66 5 1 6 1 8 1 5 5 2 6 2 0 1 1 5 2 3 6

17

99 6 2 5 3 5 9 8 3 7 5 0 1 3 9 3 8 0 8

18

99 9 6 1 2 9 3 4 6 5 6 4 6 5 8 2 7 4 0

19

25 6 3 1 9 8 1 1 0 3 5 6 7 9 1 4 5 2 0

20

51 1 9 8 1 2 1 1 6 9 8 1 8 1 9 9 1 2 0

21

19 8 0 7 4 6 8 4 0 3 0 8 1 1 0 6 2 3 2

22

97 0 9 6 3 8 9 9 7 0 6 5 4 3 6 5 0 3 2

23

17 6 4 8 2 0 3 9 6 3 6 2 1 0 7 7 3 1 7

24

62 5 8 2 0 7 8 6 4 6 6 8 9 2 0 6 9 0 4

25

15 7 1 1 1 9 5 1 4 5 2 8 3 4 3 0 7 3 5

26

14 6 6 5 6 0 1 9 4 0 5 2 7 6 4 3 6 8 8

27

18 5 0 2 1 6 8 0 7 7 2 6 2 6 7 5 4 8 7

28

78 7 4 6 5 4 3 7 9 3 9 2 7 9 5 4 2 3 1

29

16 3 2 8 3 7 3 0 7 2 4 8 0 9 9 9 4 7 0

30

28 9 0 8 1 6 8 1 7 3 1 3 0 9 7 2 5 7 9

31

07 8 8 6 5 7 5 5 4 0 0 3 4 1 2 7 3 7 9

32

84 0 1 4 5 1 9 1 1 2 1 5 3 2 8 5 5 7 5

33

73 5 9 7 0 4 9 1 2 1 3 2 5 1 9 3 3 8 3

34

47 2 6 7 6 9 9 2 7 8 7 5 5 5 2 4 4 3 4

35

93 3 7 0 7 0 5 7 5 6 9 5 4 3 1 4 6 6 8

36

02 4 9 7 8 1 6 3 8 7 8 0 5 6 7 2 7 5 0

37

71 0 1 8 4 7 1 2 9 3 8 0 0 8 7 9 2 8 6

38

97 9 4 4 5 3 1 9 3 4 5 0 6 3 5 9 6 9 8

39

04 2 5 0 0 9 9 6 4 0 6 9 0 3 8 3 5 7 2

40

07 1 2 3 6 1 7 9 3 9 5 4 6 8 4 8 8 0 6

41

35 6 6 2 4 4 5 6 3 7 8 7 6 5 2 0 4 3 2

42

66 8 5 5 2 9 7 9 3 3 1 6 9 5 9 7 1 1 2

43

95 0 4 3 1 1 7 3 9 2 7 7 4 7 0 3 1 2 8

44

51 7 8 9 4 7 2 9 2 8 9 9 8 0 6 3 7 2 1

45

16 3 9 4 1 3 2 1 1 8 5 6 3 4 1 9 3 1 7

46

44 8 6 4 0 3 8 3 8 3 5 9 5 9 4 8 3 9 4

47

77 6 6 4 5 4 4 8 4 4 0 3 9 8 5 2 0 2 3

48

25 6 6 3 7 0 6 5 6 9 0 1 9 5 2 6 9 1 2

(Continued)

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Appendix Statistical Tables

787

TABLE 1 Random Numbers (Continued)

Row

49

94 0 4 7 5 3 2 8 7 2 7 4 9 3 9 6 5 5 6

50

73 1 5 6 6 5 0 3 5 3 7 2 8 6 2 4 1 8 7

51

75 8 2 8 8 8 7 6 4 1 1 0 2 3 1 9 3 6 0

52

33 6 0 9 1 1 0 3 2 7 8 2 0 5 3 4 8 9 8

53

02 9 6 9 8 9 3 8 1 5 3 9 9 7 0 7 7 1 6

54

85 9 6 2 9 6 8 2 1 2 4 7 0 6 8 3 4 6 1

55

54 7 6 1 0 0 1 0 4 6 1 4 1 5 0 9 6 5 5

56

50 3 6 4 1 9 8 4 4 1 2 0 2 5 1 8 1 2 1

57

02 6 3 7 5 1 1 6 6 0 5 8 1 2 3 3 6 1 3

58

38 1 6 3 8 1 4 5 2 9 4 2 5 7 3 2 3 1 8

59

91 5 6 0 6 5 6 6 3 6 2 3 0 0 0 1 8 5 9

60

53 5 6 3 9 5 4 7 3 6 6 7 5 0 1 5 6 7 3

61

96 6 4 5 7 7 6 1 5 4 4 8 0 6 5 7 6 3 0

62

63 0 6 7 9 5 5 4 6 2 2 8 4 4 0 0 9 9 8

63

85 8 3 5 2 0 6 6 0 0 6 0 6 3 0 1 7 0 5

64

38 2 4 9 0 9 2 6 2 9 5 1 9 1 9 0 8 3 3

65

14 4 1 1 7 4 6 3 6 5 6 5 5 7 7 0 3 5 8

66

59 9 5 3 7 2 5 1 7 1 1 0 7 1 0 9 2 8 8

67

87 1 7 5 2 5 6 8 7 9 9 1 3 9 6 4 9 3 0

68

67 2 3 1 4 9 2 1 7 0 8 6 7 8 9 9 4 7 4

69

23 2 8 7 0 9 7 1 1 1 2 8 2 9 1 0 6 7 7

70

29 5 7 8 4 7 9 0 3 6 9 2 0 6 0 6 2 6 8

71

48 9 8 3 2 7 6 9 1 9 8 6 9 5 2 4 9 9 9

72

15 6 5 7 7 5 4 3 4 3 8 1 8 9 9 4 4 1 1

73

18 1 1 7 2 8 5 5 8 9 9 9 6 2 0 1 6 6 7

74

57 7 0 9 5 5 6 8 6 8 2 2 6 0 5 5 1 8 7

75

18 6 0 5 4 8 3 4 5 3 5 8 7 7 7 8 5 7 0

76

26 6 7 9 4 2 2 8 7 4 3 4 9 6 1 9 4 3 9

77

36 6 4 5 7 8 3 0 2 8 4 6 7 2 1 4 5 2 3

78

07 8 0 1 2 1 1 3 4 2 1 6 9 3 3 5 4 0 4

79

83 6 0 5 7 7 9 1 5 8 8 4 9 5 7 2 2 7 6

80

53 6 9 0 6 3 8 7 5 9 5 9 7 4 2 5 6 2 9

81

09 3 7 7 2 8 6 4 3 2 9 4 8 2 9 9 6 9 9

82

94 7 4 0 0 0 3 5 4 6 6 2 6 2 3 6 1 1 4

83

55 4 1 7 8 6 4 2 3 2 9 8 4 6 3 8 3 0 5

84

53 0 0 5 4 8 0 7 4 7 6 2 1 1 2 1 2 6 9

85

33 0 9 3 2 9 4 0 5 5 4 8 7 5 7 5 3 8 8

86

30 5 7 1 9 5 8 0 0 4 5 3 0 3 0 2 7 6 7

87

50 8 6 0 8 1 6 2 0 8 6 5 4 0 7 2 9 1 0

88

36 4 7 8 2 3 5 7 9 8 5 2 7 6 9 0 2 4 9

89

90 4 4 9 1 6 8 5 2 8 9 0 7 5 7 2 5 1 8

90

95 2 6 9 3 9 6 5 1 8 8 7 8 2 0 4 4 7 9

91

94 5 7 0 3 4 6 4 2 5 4 8 6 1 1 9 1 8 8

92

81 1 8 0 5 4 2 8 5 3 3 3 0 1 1 4 4 8 3

93

69 4 7 8 3 3 9 1 2 5 0 1 2 3 0 1 1 2 5

94

00 6 8 8 7 2 4 4 7 6 6 0 3 4 7 5 6 8 2

95

53 3 9 3 8 4 9 1 9 1 7 8 4 5 2 2 5 4 4

96

25 6 2 7 6 0 3 8 1 4 4 2 6 8 3 6 3 2 8

97

74 3 7 9 6 8 6 2 8 3 8 4 2 2 0 7 0 5 3

98

19 0 8 8 0 1 2 2 2 7 5 6 5 5 7 8 7 2 6

99

24 8 0 2 5 2 7 0 5 9 6 6 1 5 8 7 9 7 5

100

41 7 8 6 7 1 1 5 8 9 4 8 9 8 3 0 9 0 7

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Appendix Statistical Tables

Tabulated area = probability Standard normal (z) curve

z* 0

TABLE 2 Standard Normal Probabilities (Cumulative z Curve Areas)

z*

23.8 23.7 23.6 23.5 23.4 23.3 23.2 23.1 23.0 22.9 22.8 22.7 22.6 22.5 22.4 22.3 22.2 22.1 22.0 21.9 21.8 21.7 21.6 21.5

21.4 21.3 21.2 21.1 21.0 20.9 20.8 20.7 20.6 20.5 20.4 20.3 20.2 20.1 20.0

.00

.0001 .0001 .0002 .0002 .0003 .0005 .0007 .0010 .0013 .0019 .0026 .0035 .0047 .0062 .0082 .0107 .0139 .0179 .0228 .0287 .0359 .0446 .0548 .0668

.0808 .0968 .1151 .1357 .1587 .1841 .2119 .2420 .2743 .3085 .3446 .3821 .4207 .4602 .5000

.01

.0001 .0001 .0002 .0002 .0003 .0005 .0007 .0009 .0013 .0018 .0025 .0034 .0045 .0060 .0080 .0104 .0136 .0174 .0222 .0281 .0351 .0436 .0537 .0655

.0793 .0951 .1131 .1335 .1562 .1814 .2090 .2389 .2709 .3050 .3409 .3783 .4168 .4562 .4960

.02

.0001 .0001 .0001 .0002 .0003 .0005 .0006 .0009 .0013 .0018 .0024 .0033 .0044 .0059 .0078 .0102 .0132 .0170 .0217 .0274 .0344 .0427 .0526 .0643

.0778 .0934 .1112 .1314 .1539 .1788 .2061 .2358 .2676 .3015 .3372 .3745 .4129 .4522 .4920

.03

.0001 .0001 .0001 .0002 .0003 .0004 .0006 .0009 .0012 .0017 .0023 .0032 .0043 .0057 .0075 .0099 .0129 .0166 .0212 .0268 .0336 .0418 .0516 .0630

.0764 .0918 .1093 .1292 .1515 .1762 .2033 .2327 .2643 .2981 .3336 .3707 .4090 .4483 .4880

.04

.0001 .0001 .0001 .0002 .0003 .0004 .0006 .0008 .0012 .0016 .0023 .0031 .0041 .0055 .0073 .0096 .0125 .0162 .0207 .0262 .0329 .0409 .0505 .0618

.0749 .0901 .1075 .1271 .1492 .1736 .2005 .2296 .2611 .2946 .3300 .3669 .4052 .4443 .4840

.05

.0001 .0001 .0001 .0002 .0003 .0004 .0006 .0008 .0011 .0016 .0022 .0030 .0040 .0054 .0071 .0094 .0122 .0158 .0202 .0256 .0322 .0401 .0495 .0606

.0735 .0885 .1056 .1251 .1469 .1711 .1977 .2266 .2578 .2912 .3264 .3632 .4013 .4404 .4801

.06

.0001 .0001 .0001 .0002 .0003 .0004 .0006 .0008 .0011 .0015 .0021 .0029 .0039 .0052 .0069 .0091 .0119 .0154 .0197 .0250 .0314 .0392 .0485 .0594

.0721 .0869 .1038 .1230 .1446 .1685 .1949 .2236 .2546 .2877 .3228 .3594 .3974 .4364 .4761

.07

.0001 .0001 .0001 .0002 .0003 .0004 .0005 .0008 .0011 .0015 .0021 .0028 .0038 .0051 .0068 .0089 .0116 .0150 .0192 .0244 .0307 .0384 .0475 .0582

.0708 .0853 .1020 .1210 .1423 .1660 .1922 .2206 .2514 .2843 .3192 .3557 .3936 .4325 .4721

.08

.0001 .0001 .0001 .0002 .0003 .0004 .0005 .0007 .0010 .0014 .0020 .0027 .0037 .0049 .0066 .0087 .0113 .0146 .0188 .0239 .0301 .0375 .0465 .0571

.0694 .0838 .1003 .1190 .1401 .1635 .1894 .2177 .2483 .2810 .3156 .3520 .3897 .4286 .4681

.09

.0000 .0001 .0001 .0002 .0002 .0003 .0005 .0007 .0010 .0014 .0019 .0026 .0036 .0048 .0064 .0084 .0110 .0143 .0183 .0233 .0294 .0367 .0455 .0559

.0681 .0823 .0985 .1170 .1379 .1611 .1867 .2148 .2451 .2776 .3121 .3483 .3859 .4247 .4641

(Continued)

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Tabulated area = probability Standard normal (z) curve

z* 0

TABLE 2 Standard Normal Probabilities (Cumulative z Curve Areas) (Continued)

z*

.00

.01

.02

.03

.04

.05

.06

0.0

.5000

.5040

.5080

.5120

.5160

.5199

.5239

0.1

.5398

.5438

.5478

.5517

.5557

.5596

.5636

0.2

.5793

.5832

.5871

.5910

.5948

.5987

.6026

0.3

.6179

.6217

.6255

.6293

.6331

.6368

.6406

0.4

.6554

.6591

.6628

.6664

.6700

.6736

.6772

0.5

.6915

.6950

.6985

.7019

.7054

.7088

.7123

0.6

.7257

.7291

.7324

.7357

.7389

.7422

.7454

0.7

.7580

.7611

.7642

.7673

.7704

.7734

.7764

0.8

.7881

.7910

.7939

.7967

.7995

.8023

.8051

0.9

.8159

.8186

.8212

.8238

.8264

.8289

.8315

1.0

.8413

.8438

.8461

.8485

.8508

.8531

.8554

1.1

.8643

.8665

.8686

.8708

.8729

.8749

.8770

1.2

.8849

.8869

.8888

.8907

.8925

.8944

.8962

1.3

.9032

.9049

.9066

.9082

.9099

.9115

.9131

1.4

.9192

.9207

.9222

.9236

.9251

.9265

.9279

1.5

.9332

.9345

.9357

.9370

.9382

.9394

.9406

1.6

.9452

.9463

.9474

.9484

.9495

.9505

.9515

1.7

.9554

.9564

.9573

.9582

.9591

.9599

.9608

1.8

.9641

.9649

.9656

.9664

.9671

.9678

.9686

1.9

.9713

.9719

.9726

.9732

.9738

.9744

.9750

2.0

.9772

.9778

.9783

.9788

.9793

.9798

.9803

2.1

.9821

.9826

.9830

.9834

.9838

.9842

.9846

2.2

.9861

.9864

.9868

.9871

.9875

.9878

.9881

2.3

.9893

.9896

.9898

.9901

.9904

.9906

.9909

2.4

.9918

.9920

.9922

.9925

.9927

.9929

.9931

2.5

.9938

.9940

.9941

.9943

.9945

.9946

.9948

2.6

.9953

.9955

.9956

.9957

.9959

.9960

.9961

2.7

.9965

.9966

.9967

.9968

.9969

.9970

.9971

2.8

.9974

.9975

.9976

.9977

.9977

.9978

.9979

2.9

.9981

.9982

.9982

.9983

.9984

.9984

.9985

3.0

.9987

.9987

.9987

.9988

.9988

.9989

.9989

3.1

.9990

.9991

.9991

.9991

.9992

.9992

.9992

3.2

.9993

.9993

.9994

.9994

.9994

.9994

.9994

3.3

.9995

.9995

.9995

.9996

.9996

.9996

.9996

3.4

.9997

.9997

.9997

.9997

.9997

.9997

.9997

3.5

.9998

.9998

.9998

.9998

.9998

.9998

.9998

3.6

.9998

.9998

.9999

.9999

.9999

.9999

.9999

3.7

.9999

.9999

.9999

.9999

.9999

.9999

.9999

3.8

.9999

.9999

.9999

.9999

.9999

.9999

.9999

.07

.5279 .5675 .6064 .6443 .6808 .7157 .7486 .7794 .8078 .8340 .8577 .8790 .8980 .9147 .9292 .9418 .9525 .9616 .9693 .9756 .9808 .9850 .9884 .9911 .9932 .9949 .9962 .9972 .9979 .9985 .9989 .9992 .9995 .9996 .9997 .9998 .9999 .9999 .9999

.08

.5319 .5714 .6103 .6480 .6844 .7190 .7517 .7823 .8106 .8365 .8599 .8810 .8997 .9162 .9306 .9429 .9535 .9625 .9699 .9761 .9812 .9854 .9887 .9913 .9934 .9951 .9963 .9973 .9980 .9986 .9990 .9993 .9995 .9996 .9997 .9998 .9999 .9999 .9999

.09

.5359 .5753 .6141 .6517 .6879 .7224 .7549 .7852 .8133 .8389 .8621 .8830 .9015 .9177 .9319 .9441 .9545 .9633 .9706 .9767 .9817 .9857 .9890 .9916 .9936 .9952 .9964 .9974 .9981 .9986 .9990 .9993 .9995 .9997 .9998 .9998 .9999 .9999 1.0000

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