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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789
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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