Table F The t
Distribution |
|||||||
d.f. |
Confidence intervals |
50% |
80% |
90% |
95% |
98% |
99% |
One tail, α |
0.25 |
0.10 |
0.05 |
0.025 |
0.01 |
0.005 |
|
Two tails,α |
0.50 |
0.20 |
0.10 |
0.05 |
0.02 |
0.01 |
|
1 |
|
1.000 |
3.078 |
6.314 |
12.706 |
31.821 |
63.657 |
2 |
|
.816 |
1.886 |
2.920 |
4.303 |
6.965 |
9.925 |
3 |
|
.765 |
1.638 |
2.353 |
3.182 |
4.541 |
5.841 |
4 |
|
.741 |
1.533 |
2.132 |
2.776 |
3.747 |
4.604 |
5 |
|
.727 |
1.476 |
2.015 |
2.571 |
3.365 |
4.032 |
6 |
|
.718 |
1.440 |
1.943 |
2.447 |
3.143 |
3.707 |
7 |
|
.711 |
1.415 |
1.895 |
2.365 |
2.998 |
3.499 |
8 |
|
.706 |
1.397 |
1.860 |
2.306 |
2.896 |
3.355 |
9 |
|
.703 |
1.383 |
1.833 |
2.262 |
2.821 |
3.250 |
10 |
|
.700 |
1.372 |
1.812 |
2.228 |
2.764 |
3.169 |
11 |
|
.697 |
1.363 |
1.796 |
2.201 |
2.718 |
3.106 |
12 |
|
.695 |
1.356 |
1.782 |
2.179 |
2.681 |
3.055 |
13 |
|
.694 |
1.350 |
1.771 |
2.160 |
2.650 |
3.012 |
14 |
|
.692 |
1.345 |
1.761 |
2.145 |
2.624 |
2.977 |
15 |
|
.691 |
1.341 |
1.753 |
2.131 |
2.602 |
2.947 |
16 |
|
.690 |
1.337 |
1.746 |
2.120 |
2.583 |
2.921 |
17 |
|
.689 |
1.333 |
1.740 |
2.110 |
2.567 |
2.898 |
18 |
|
.688 |
1.330 |
1.734 |
2.101 |
2.552 |
2.878 |
19 |
|
.688 |
1.328 |
1.729 |
2.093 |
2.539 |
2.861 |
20 |
|
.687 |
1.325 |
1.725 |
2.086 |
2.528 |
2.845 |
21 |
|
.686 |
1.323 |
1.721 |
2.080 |
2.518 |
2.831 |
22 |
|
.686 |
1.321 |
1.717 |
2.074 |
2.508 |
2.819 |
23 |
|
.685 |
1.319 |
1.714 |
2.069 |
2.500 |
2.807 |
24 |
|
.685 |
1.318 |
1.711 |
2.064 |
2.492 |
2.797 |
25 |
|
.684 |
1.316 |
1.708 |
2.060 |
2.485 |
2.787 |
26 |
|
.684 |
1.315 |
1.706 |
2.056 |
2.479 |
2.779 |
27 |
|
.684 |
1.314 |
1.703 |
2.052 |
2.473 |
2.771 |
28 |
|
.683 |
1.313 |
1.701 |
2.048 |
2.467 |
2.763 |
(z) ∞ |
|
.674 |
1.282 |
1.645 |
1.960 |
2.326 |
2.576 |