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Z T Distribution

The document contains a Standard Normal Distribution Table and a table of t-values for selected probabilities with degrees of freedom (df) up to 23. It provides cumulative probabilities for various z-scores and t-values corresponding to different confidence levels. This information is essential for statistical analysis and hypothesis testing.

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36 views2 pages

Z T Distribution

The document contains a Standard Normal Distribution Table and a table of t-values for selected probabilities with degrees of freedom (df) up to 23. It provides cumulative probabilities for various z-scores and t-values corresponding to different confidence levels. This information is essential for statistical analysis and hypothesis testing.

Uploaded by

panh9333
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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APPENDIX D

Standard Normal
Distribution Table
0.3944

z
0 z = 1.25

z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09


0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359
0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753
0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141
0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517
0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879
0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224
0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549
0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852
0.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133
0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389
1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621
1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830
1.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015
1.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177
1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319
1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441
1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545
1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633
1.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706
1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767
2.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817
2.1 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857
2.2 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.4890
2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916
2.4 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936
2.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952
2.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964
2.7 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974
2.8 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981
2.9 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986
3.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990

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APPENDIX F
df = 10
Values of t for df = 10

Selected Probabilities
0.05 0.05
0.05 0.05

tt
t = –1.8125
t = –1.8125 0 0 t t==1.8125
1.8125

Probabilites (Or Areas Under t-Distribution Curve)


Conf. Level 0.1 0.3 0.5 0.7 0.8 0.9 0.95 0.98 0.99
One Tail 0.45 0.35 0.25 0.15 0.1 0.05 0.025 0.01 0.005
Two Tails 0.9 0.7 0.5 0.3 0.2 0.1 0.05 0.02 0.01
d. f. Values of t
1 0.1584 0.5095 1.0000 1.9626 3.0777 6.3138 12.7062 31.8205 63.6567
2 0.1421 0.4447 0.8165 1.3862 1.8856 2.9200 4.3027 6.9646 9.9248
3 0.1366 0.4242 0.7649 1.2498 1.6377 2.3534 3.1824 4.5407 5.8409
4 0.1338 0.4142 0.7407 1.1896 1.5332 2.1318 2.7764 3.7469 4.6041
5 0.1322 0.4082 0.7267 1.1558 1.4759 2.0150 2.5706 3.3649 4.0321
6 0.1311 0.4043 0.7176 1.1342 1.4398 1.9432 2.4469 3.1427 3.7074
7 0.1303 0.4015 0.7111 1.1192 1.4149 1.8946 2.3646 2.9980 3.4995
8 0.1297 0.3995 0.7064 1.1081 1.3968 1.8595 2.3060 2.8965 3.3554
9 0.1293 0.3979 0.7027 1.0997 1.3830 1.8331 2.2622 2.8214 3.2498
10 0.1289 0.3966 0.6998 1.0931 1.3722 1.8125 2.2281 2.7638 3.1693
11 0.1286 0.3956 0.6974 1.0877 1.3634 1.7959 2.2010 2.7181 3.1058
12 0.1283 0.3947 0.6955 1.0832 1.3562 1.7823 2.1788 2.6810 3.0545
13 0.1281 0.3940 0.6938 1.0795 1.3502 1.7709 2.1604 2.6503 3.0123
14 0.1280 0.3933 0.6924 1.0763 1.3450 1.7613 2.1448 2.6245 2.9768
15 0.1278 0.3928 0.6912 1.0735 1.3406 1.7531 2.1314 2.6025 2.9467
16 0.1277 0.3923 0.6901 1.0711 1.3368 1.7459 2.1199 2.5835 2.9208
17 0.1276 0.3919 0.6892 1.0690 1.3334 1.7396 2.1098 2.5669 2.8982
18 0.1274 0.3915 0.6884 1.0672 1.3304 1.7341 2.1009 2.5524 2.8784
19 0.1274 0.3912 0.6876 1.0655 1.3277 1.7291 2.0930 2.5395 2.8609
20 0.1273 0.3909 0.6870 1.0640 1.3253 1.7247 2.0860 2.5280 2.8453
21 0.1272 0.3906 0.6864 1.0627 1.3232 1.7207 2.0796 2.5176 2.8314
22 0.1271 0.3904 0.6858 1.0614 1.3212 1.7171 2.0739 2.5083 2.8188
23 0.1271 0.3902 0.6853 1.0603 1.3195 1.7139 2.0687 2.4999 2.8073
24 0.1270 0.3900 0.6848 1.0593 1.3178 1.7109 2.0639 2.4922 2.7969
25 0.1269 0.3898 0.6844 1.0584 1.3163 1.7081 2.0595 2.4851 2.7874
26 0.1269 0.3896 0.6840 1.0575 1.3150 1.7056 2.0555 2.4786 2.7787
27 0.1268 0.3894 0.6837 1.0567 1.3137 1.7033 2.0518 2.4727 2.7707
28 0.1268 0.3893 0.6834 1.0560 1.3125 1.7011 2.0484 2.4671 2.7633
29 0.1268 0.3892 0.6830 1.0553 1.3114 1.6991 2.0452 2.4620 2.7564
30 0.1267 0.3890 0.6828 1.0547 1.3104 1.6973 2.0423 2.4573 2.7500
40 0.1265 0.3881 0.6807 1.0500 1.3031 1.6839 2.0211 2.4233 2.7045
50 0.1263 0.3875 0.6794 1.0473 1.2987 1.6759 2.0086 2.4033 2.6778
60 0.1262 0.3872 0.6786 1.0455 1.2958 1.6706 2.0003 2.3901 2.6603
70 0.1261 0.3869 0.6780 1.0442 1.2938 1.6669 1.9944 2.3808 2.6479
80 0.1261 0.3867 0.6776 1.0432 1.2922 1.6641 1.9901 2.3739 2.6387
90 0.1260 0.3866 0.6772 1.0424 1.2910 1.6620 1.9867 2.3685 2.6316
100 0.1260 0.3864 0.6770 1.0418 1.2901 1.6602 1.9840 2.3642 2.6259
250 0.1258 0.3858 0.6755 1.0386 1.2849 1.6510 1.9695 2.3414 2.5956
500 0.1257 0.3855 0.6750 1.0375 1.2832 1.6479 1.9647 2.3338 2.5857
` 0.1257 0.3853 0.6745 1.0364 1.2816 1.6449 1.9600 2.3263 2.5758

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