Table 3: Student's t Test
(If calculated t is greater than value shown, reject the null hypothesis.)
SIGNIFICANCE LEVEL FOR ONE-DIRECTION TEST |
df |
.10 |
.05 |
.025 |
.01 |
.005 |
.000 |
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 |
1.638 |
2.353 |
3.182 |
4.541 |
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 |
3.883 |
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 |
40 |
1.303 |
1.684 |
2.021 |
2.423 |
2.704 |
3.551 |
60 |
1.296 |
1.671 |
2.000 |
2.390 |
2.660 |
3.460 |
120 |
1.289 |
1.658 |
1.980 |
2.358 |
2.617 |
3.373 |
X |
1.282 |
1.645 |
1.960 |
2.326 |
2.576 |
3.291 |
SIGNIFICANCE LEVEL FOR ONE-DIRECTION TEST |
df |
.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 |
1.638 |
2.353 |
3.182 |
4.541 |
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
|
3.883
|
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
|
40 |
1.303
|
1.684
|
2.021
|
2.423
|
2.704
|
3.551
|
60 |
1.296
|
1.671
|
2.000
|
2.390
|
2.660
|
3.460
|
120 |
1.289
|
1.658
|
1.980
|
2.358
|
2.617
|
3.373
|
X |
1.282 |
1.645 |
1.960 |
2.326 |
2.576 |
3.291 |