Page 107 - Standard Handbook Of Petroleum & Natural Gas Engineering

96 Mathematics

Table 1-19
Critical Values for the t Distribution
Level of Significance for One-Tailed Test
.250 .lo0 .050 .025 .010 .005 .0025 .0005
Level of Significance for Two-Tailed Test
.500 .200 .lo0 .os0 .020 .010 .005 .001
V
(degrees of freedom)
1. 1.000 3.078 6.314 12.706 31.821 63.657 127.321 536.627
2. .816 1.886 2.920 4.303 6.965 9.925 14.089 31.599
3. .765 1.638 2.353 3.182 4.541 5.841 7.453 12.924
4. ,741 1.533 2.132 2.776 3.747 4.604 5.598 8.610
5. .727 1.476 2.015 2.571 3.365 4.032 4.773 6.869
6. ,718 1.440 1.943 2.447 3.143 3.707 4.317 5.959
7. ,711 1.415 1.895 2.365 2.998 3.499 4.029 5.408
8. .706 1.397 1.860 2.306 2.896 3.355 3.833 5.041
9. ,703 1.383 1.833 2.262 2.821 3.250 3.690 4.781
10. .700 1.372 1.812 2.228 2.764 3.169 3.581 4.587
11. ,697 1.363 1.796 2.201 2.718 3.106 3.497 4.437
12. ,695 1.356 1.782 2.179 2.681 3.055 3.428 4.31 8
13. ,694 1.350 1.771 2.160 2.650 3.012 3.372 4.221
14. ,692 1.345 1.761 2.145 2.624 2.977 3.326 4.140
15. ,691 1.341 1.753 2.131 2.602 2.947 3.286 4.073
16. .690 1.337 1.746 2.120 2.583 2.921 3.252 4.015
17. ,689 1.333 1.740 2.110 2.567 2.898 3.222 3.965
18. ,688 1.330 1.734 2.101 2.552 2.878 3.197 3.922
19. .688 1.328 1.729 2.093 2.539 2.861 3.174 3.883
20. ,687 1.325 1.725 2.086 2.528 2.845 3.153 3.850
21. .686 1.323 1.721 2.080 2.518 2.831 3.135 3.81 9
22. .686 1.321 1.717 2.074 2.508 2.81 9 3.119 3.792
23. ,685 1.319 1.714 2.069 2.500 2.807 3.104 3.768
1
24. ,685 1.318 1.71 2.064 2.492 2.797 3.091 3.745
25. .684 1.316 1.708 2.060 2.485 2.787 3.078 3.725
26. ,684 1.315 1.706 2.056 2.479 2.779 3.067 3.707
27. .684 1.314 1.703 2.052 2.473 2.771 3.057 3.690
28. ,683 1.313 1.701 2.048 2.467 2.763 3.047 3.674
29. .683 1.311 1.699 2.045 2.462 2.756 3.038 3.659
30. .683 1.310 1.697 2.042 2.457 2.750 3.030 3.646
40. .681 1.303 1.684 2.021 2.423 2.704 2.971 3.551
50. .679 1.299 1.676 2.009 2.403 2.678 2.937 3.496
60. .679 1.296 1.671 2.000 2.390 2.660 2.91 5 3.460
70. ,678 1.294 1.667 1.994 2.381 2.648 2.899 3.435
80. .678 1.292 1.664 1.990 2.374 2.639 2.887 3.41 6
90. .677 1.291 1.662 1.987 2.368 2.632 2.878 3.402
100. .677 1.290 1.660 1.984 2.364 2.626 2.871 3.390
150. ,676 1.287 1.655 1.976 2.351 2.609 2.849 3.357
200. ,676 1.286 1.653 1.972 2.345 2.601 2.839 3.340
m .6745 1.2816 1.6448 1.9600 2.3267 2.5758 2.8070 3.2905