Student's t Distribution
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Section B.2 Student's t Distribution
ΒΆ
Figure B.2.1. Student's t Distribution Probabilities
\(df\) |
|
\(t_{0.100}\) |
|
\(t_{0.050}\) |
|
\(t_{0.025}\) |
|
\(t_{0.010}\) |
|
\(t_{0.005}\) |
\(1\) |
|
3.078 |
|
6.314 |
|
12.706 |
|
31.821 |
|
63.657 |
\(2\) |
|
1.886 |
|
2.920 |
|
4.303 |
|
6.965 |
|
9.925 |
\(3\) |
|
1.638 |
|
2.353 |
|
3.182 |
|
4.541 |
|
5.841 |
\(4\) |
|
1.533 |
|
2.132 |
|
2.776 |
|
3.747 |
|
4.604 |
\(5\) |
|
1.476 |
|
2.015 |
|
2.571 |
|
3.365 |
|
4.032 |
|
|
\(6\) |
|
1.440 |
|
1.943 |
|
2.447 |
|
3.143 |
|
3.707 |
\(7\) |
|
1.415 |
|
1.895 |
|
2.365 |
|
2.998 |
|
3.499 |
\(8\) |
|
1.397 |
|
1.860 |
|
2.306 |
|
2.896 |
|
3.355 |
\(9\) |
|
1.383 |
|
1.833 |
|
2.262 |
|
2.821 |
|
3.250 |
\(10\) |
|
1.372 |
|
1.812 |
|
2.228 |
|
2.764 |
|
3.169 |
|
|
\(11\) |
|
1.363 |
|
1.796 |
|
2.201 |
|
2.718 |
|
3.106 |
\(12\) |
|
1.356 |
|
1.782 |
|
2.179 |
|
2.681 |
|
3.055 |
\(13\) |
|
1.350 |
|
1.771 |
|
2.160 |
|
2.650 |
|
3.012 |
\(14\) |
|
1.345 |
|
1.761 |
|
2.145 |
|
2.624 |
|
2.977 |
\(15\) |
|
1.341 |
|
1.753 |
|
2.131 |
|
2.602 |
|
2.947 |
|
|
\(16\) |
|
1.337 |
|
1.746 |
|
2.120 |
|
2.583 |
|
2.921 |
\(17\) |
|
1.333 |
|
1.740 |
|
2.110 |
|
2.567 |
|
2.898 |
\(18\) |
|
1.330 |
|
1.734 |
|
2.101 |
|
2.552 |
|
2.878 |
\(19\) |
|
1.328 |
|
1.729 |
|
2.093 |
|
2.539 |
|
2.861 |
\(20\) |
|
1.325 |
|
1.725 |
|
2.086 |
|
2.528 |
|
2.845 |
|
|
\(21\) |
|
1.323 |
|
1.721 |
|
2.080 |
|
2.518 |
|
2.831 |
\(22\) |
|
1.321 |
|
1.717 |
|
2.074 |
|
2.508 |
|
2.819 |
\(23\) |
|
1.319 |
|
1.714 |
|
2.069 |
|
2.500 |
|
2.807 |
\(24\) |
|
1.318 |
|
1.711 |
|
2.064 |
|
2.492 |
|
2.797 |
\(25\) |
|
1.316 |
|
1.708 |
|
2.060 |
|
2.485 |
|
2.787 |
|
|
\(26\) |
|
1.315 |
|
1.706 |
|
2.056 |
|
2.479 |
|
2.779 |
\(27\) |
|
1.314 |
|
1.703 |
|
2.052 |
|
2.473 |
|
2.771 |
\(28\) |
|
1.313 |
|
1.701 |
|
2.048 |
|
2.467 |
|
2.763 |
\(29\) |
|
1.311 |
|
1.699 |
|
2.045 |
|
2.462 |
|
2.756 |
\(30+\) |
|
1.282 |
|
1.645 |
|
1.960 |
|
2.326 |
|
2.576 |
Table B.2.2. Student's t Distribution Probabilities