Comparing a t Distribution with Five Degrees of Freedom with the Standard Normal Distribution Table of the Upper Percentage Points of the Student's t Distribution
|
df |
Critical Values of Student's t |
|||||
|
1-tailed |
.10 |
.05 |
.025 |
.01 |
.005 |
.0005 |
|
2-tailed |
.20 |
.10 |
.05 |
.02 |
.01 |
.001 |
|
1 |
3.078 |
6.314 |
12.706 |
31.821 |
63.657 |
636.619 |
|
2 |
1.886 |
2.920 |
4.303 |
6.965 |
9.925 |
31.598 |
|
3 |
1.683 |
2.353 |
3.182 |
4.5415 |
5.841 |
12.941 |
|
4 |
1.533 |
2.132 |
2.776 |
3.747 |
4.604 |
8.610 |
|
5 |
1.476 |
2.015 |
2.571 |
3.365 |
4.032 |
6.859 |
|
6 |
1.440 |
1.943 |
2.447 |
3.143 |
3.707 |
5.959 |
|
7 |
1.415 |
1.895 |
2.365 |
2.998 |
3.499 |
5.405 |
|
8 |
1.397 |
1.860 |
2.306 |
2.896 |
3.355 |
5.041 |
|
9 |
1.383 |
1.833 |
2.262 |
2.821 |
3.250 |
4.781 |
|
10 |
1.372 |
1.812 |
2.228 |
2.764 |
3.169 |
4.587 |
|
11 |
1.363 |
1.796 |
2.201 |
2.718 |
3.106 |
4.437 |
|
12 |
1.356 |
1.782 |
2.179 |
2.681 |
3.055 |
4.318 |
|
13 |
1.350 |
1.771 |
2.160 |
2.650 |
3.012 |
4.221 |
|
14 |
1.345 |
1.761 |
2.145 |
2.624 |
2.977 |
4.140 |
|
15 |
1.341 |
1.753 |
2.131 |
2.602 |
2.947 |
4.073 |
|
16 |
1.337 |
1.746 |
2.120 |
2.583 |
2.921 |
4.015 |
|
17 |
1.333 |
1.740 |
2.110 |
2.567 |
2.898 |
3.965 |
|
18 |
1.330 |
1.734 |
2.101 |
2.552 |
2.878 |
3.922 |
|
19 |
1.328 |
1.729 |
2.093 |
2.539 |
2.861 |
4.883 |
|
20 |
1.325 |
1.725 |
2.086 |
2.528 |
2.845 |
3.850 |
|
21 |
1.323 |
1.721 |
2.080 |
2.518 |
2.831 |
3.819 |
|
22 |
1.321 |
1.717 |
2.074 |
2.508 |
2.819 |
3.792 |
|
23 |
1.319 |
1.714 |
2.069 |
2.500 |
2.807 |
3.767 |
|
24 |
1.318 |
1.711 |
2.064 |
2.492 |
2.797 |
3.745 |
|
25 |
1.316 |
1.708 |
2.060 |
2.485 |
2.787 |
3.725 |
|
26 |
1.315 |
1.706 |
2.056 |
2.479 |
2.779 |
3.707 |
|
27 |
1.314 |
1.703 |
2.052 |
2.473 |
2.771 |
3.690 |
|
28 |
1.313 |
1.701 |
2.048 |
2.467 |
2.763 |
3.674 |
|
29 |
1.311 |
1.699 |
2.045 |
2.462 |
2.756 |
3.659 |
|
30 |
1.310 |
1.697 |
2.042 |
2.457 |
2.750 |
3.646 |
|
35 |
1.31 |
1.69 |
2.030 |
2.438 |
2.724 |
3.591 |
|
40 |
1.303 |
1.684 |
2.021 |
2.423 |
2.704 |
3.551 |
|
45 |
1.301 |
1.679 |
2.014 |
2.412 |
2.69 |
3.520 |
|
50 |
1.299 |
1.676 |
2.009 |
2.403 |
2.678 |
3.496 |
|
55 |
1.297 |
1.673 |
2.004 |
2.396 |
2.668 |
3.476 |
|
60 |
1.296 |
1.671 |
2.000 |
2.390 |
2.660 |
3.460 |
|
65 |
1.295 |
1.669 |
1.997 |
2.385 |
2.654 |
3.447 |
|
70 |
1.294 |
1.667 |
1.994 |
2.381 |
2.648 |
3.435 |
|
75 |
1.293 |
1.665 |
1.992 |
2.377 |
2.643 |
3.425 |
|
80 |
1.292 |
1.664 |
1.990 |
2.374 |
2.639 |
3.416 |
|
85 |
1.292 |
1.663 |
1.988 |
2.371 |
2.635 |
3.409 |
|
90 |
1.291 |
.662 |
1.987 |
2.368 |
2.632 |
3.402 |
|
95 |
1.291 |
1.661 |
1.985 |
2.366 |
2.629 |
3.396 |
|
100 |
1.290 |
1.660 |
1.984 |
2.364 |
2.626 |
3.390 |
|
120 |
1.289 |
1.658 |
1.980 |
2.358 |
2.617 |
3.373 |
|
Inf |
1.282 |
1.645 |
1.960 |
2.236 |
2.576 |
3.291 |
|
1-tailed |
.10 |
.05 |
.025 |
.01 |
.005 |
.0005 |
|
2-tailed |
.20 |
.10 |
.05 |
.02 |
.01 |
.001 |