|
LINKS:
Normal
Distribution
Cpk - ppm
Table
|
The
t-Distribution
Table 1 shows
a
t-table, which is used by many semiconductor process engineers to
understand their processes based on a finite number of process output
data that they can collect. For more info on how to use this
t-table, refer to Page 2 - The t-Distribution.
Table
1. Percentage Points of the T-Distribution
|
a-One Tail |
0.10 |
0.05 |
0.025 |
0.01 |
0.005 |
0.001 |
0.0005 |
a-One Tail |
|
a-Two Tails |
0.20 |
0.10 |
0.05 |
0.02 |
0.01 |
0.002 |
0.001 |
a-Two Tails |
|
d.f.= 1 |
3.078 |
6.314 |
12.71 |
31.82 |
63.66 |
318.3 |
637 |
d.f.= 1 |
|
d.f.=2 |
1.886 |
2.920 |
4.303 |
6.965 |
9.925 |
22.33 |
31.6 |
d.f.=2 |
|
d.f.=3 |
1.638 |
2.353 |
3.182 |
4.541 |
5.841 |
10.210 |
12.92 |
d.f.=3 |
|
d.f.=4 |
1.533 |
2.132 |
2.776 |
3.747 |
4.604 |
7.173 |
8.610 |
d.f.=4 |
|
d.f.=5 |
1.476 |
2.015 |
2.571 |
3.365 |
4.032 |
5.893 |
6.869 |
d.f.=5 |
|
d.f.=6 |
1.440 |
1.943 |
2.447 |
3.143 |
3.707 |
5.208 |
5.959 |
d.f.=6 |
|
d.f.=7 |
1.415 |
1.895 |
2.365 |
2.998 |
3.499 |
4.785 |
5.408 |
d.f.=7 |
|
d.f.=8 |
1.397 |
1.860
|
2.306 |
2.896
|
3.355 |
4.501 |
5.041
|
d.f.=8 |
|
d.f.=9 |
1.383
|
1.833
|
2.262
|
2.821
|
3.250
|
4.297
|
4.781
|
d.f.=9 |
|
d.f.=10 |
1.372
|
1.812 |
2.228
|
2.764
|
3.169
|
4.144
|
4.587
|
d.f.=10 |
|
d.f.=11 |
1.363
|
1.796
|
2.201
|
2.718
|
3.106
|
4.025
|
4.437 |
d.f.=11 |
|
d.f.=12 |
1.356
|
1.782
|
2.179
|
2.681
|
3.055
|
3.930
|
4.318 |
d.f.=12 |
|
d.f.=13 |
1.350
|
1.771
|
2.160
|
2.650
|
3.012
|
3.852
|
4.221 |
d.f.=13 |
|
d.f.=14 |
1.345
|
1.761
|
2.145
|
2.624
|
2.977
|
3.787
|
4.140
|
d.f.=14 |
|
d.f.=15 |
1.341
|
1.753
|
2.131
|
2.602
|
2.947
|
3.733
|
4.073 |
d.f.=15 |
|
d.f.=16 |
1.337
|
1.746
|
2.120
|
2.583
|
2.921
|
3.686
|
4.015 |
d.f.=16 |
|
d.f.=17 |
1.333
|
1.740
|
2.110
|
2.567
|
2.898
|
3.646
|
3.965
|
d.f.=17 |
|
d.f.=18 |
1.330
|
1.734
|
2.101
|
2.552
|
2.878
|
3.610
|
3.922 |
d.f.=18 |
|
d.f.=19 |
1.328
|
1.729
|
2.093
|
2.539
|
2.861
|
3.579
|
3.883 |
d.f.=19 |
|
d.f.=20 |
1.325
|
1.725
|
2.086
|
2.528
|
2.845
|
3.552
|
3.850 |
d.f.=20 |
|
d.f.=21 |
1.323
|
1.721
|
2.080
|
2.518
|
2.831
|
3.527
|
3.819 |
d.f.=21 |
|
d.f.=22 |
1.321
|
1.717
|
2.074
|
2.508
|
2.819
|
3.505
|
3.792 |
d.f.=22 |
|
d.f.=23 |
1.319
|
1.714
|
2.069
|
2.500
|
2.807
|
3.485
|
3.768 |
d.f.=23 |
|
d.f.=24 |
1.318
|
1.711
|
2.064
|
2.492
|
2.797
|
3.467
|
3.745 |
d.f.=24 |
|
d.f.=25 |
1.316
|
1.708
|
2.060
|
2.485
|
2.787
|
3.450
|
3.725 |
d.f.=25 |
|
d.f.=26 |
1.315 |
1.706 |
2.056 |
2.479 |
2.779 |
3.435 |
3.707 |
d.f.=26 |
|
d.f.=27 |
1.314
|
1.703 |
2.052 |
2.473 |
2.771 |
3.421 |
3.690 |
d.f.=27 |
|
d.f.=28 |
1.313 |
1.701 |
2.048 |
2.467 |
2.763 |
3.408 |
3.674 |
d.f.=28 |
|
d.f.=29 |
1.311 |
1.699 |
2.045 |
2.462 |
2.756 |
3.396 |
3.659 |
d.f.=29 |
|
d.f.=30 |
1.310 |
1.697 |
2.042 |
2.457 |
2.750 |
3.385 |
3.646 |
d.f.=30 |
|
d.f.=32 |
1.309
|
1.694
|
2.037
|
2.449
|
2.738
|
3.365
|
3.622 |
d.f.=32 |
|
d.f.=34 |
1.307
|
1.691
|
2.032
|
2.441
|
2.728
|
3.348
|
3.601 |
d.f.=34 |
|
d.f.=36 |
1.306
|
1.688
|
2.028
|
2.434
|
2.719
|
3.333
|
3.582 |
d.f.=36 |
|
d.f.=38 |
1.304
|
1.686
|
2.024
|
2.429
|
2.712
|
3.319
|
3.566 |
d.f.=38 |
|
d.f.=40 |
1.303
|
1.684
|
2.021
|
2.423
|
2.704
|
3.307
|
3.551 |
d.f.=40 |
|
d.f.=42 |
1.302
|
1.682
|
2.018
|
2.418
|
2.698
|
3.296
|
3.538 |
d.f.=42 |
|
d.f.=44 |
1.301
|
1.680
|
2.015
|
2.414
|
2.692
|
3.286
|
3.526 |
d.f.=44 |
|
d.f.=46 |
1.300
|
1.679
|
2.013
|
2.410
|
2.687
|
3.277
|
3.515 |
d.f.=46 |
|
d.f.=48 |
1.299
|
1.677
|
2.011
|
2.407
|
2.682
|
3.269
|
3.505 |
d.f.=48 |
|
d.f.=50 |
1.299
|
1.676
|
2.009
|
2.403
|
2.678
|
3.261
|
3.496 |
d.f.=50 |
|
d.f.=55 |
1.297
|
1.673
|
2.004
|
2.396
|
2.668
|
3.245
|
3.476
|
d.f.=55 |
|
d.f.=60 |
1.296
|
1.671
|
2.000
|
2.390
|
2.660
|
3.232
|
3.460 |
d.f.=60 |
|
d.f.=65 |
1.295
|
1.669
|
1.997
|
2.385
|
2.654
|
3.220
|
3.447 |
d.f.=65 |
|
d.f.=70 |
1.294
|
1.667
|
1.994
|
2.381
|
2.648
|
3.211
|
3.435
|
d.f.=70 |
|
d.f.=80 |
1.292
|
1.664
|
1.990
|
2.374
|
2.639
|
3.195
|
3.416
|
d.f.=80 |
|
d.f.=100 |
1.290
|
1.660
|
1.984
|
2.364
|
2.626
|
3.174
|
3.390 |
d.f.=100 |
|
d.f.=150 |
1.287
|
1.655
|
1.976
|
2.351
|
2.609
|
3.145
|
3.357 |
d.f.=150 |
|
d.f.=200 |
1.286
|
1.653
|
1.972
|
2.345
|
2.601
|
3.131
|
3.340 |
d.f.=200 |
|
Two Tails |
0.20 |
0.10 |
0.05 |
0.02 |
0.01 |
0.002 |
0.001 |
Two Tails |
|
One Tail |
0.10 |
0.05 |
0.025 |
0.01 |
0.005 |
0.001 |
0.0005 |
One Tail |
<Proceed to Page 2 - The t-Distribution>
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