Trabjo Ed Clases

Appendix B
B.2 Student’s t Distribution

1 2

1 2

–t t Confidence interval

–t 0 Left-tailed test
Confidence Intervals, c 95% 98% 99%

t

0 t Right-tailed test

–t 0 t Two-tailed test

80% df 0.100 0.200 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.3501.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.309 1.309 1.308 1.307 1.306

90%

99.9% 0.0005 0.001 636.619 31.599 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 3.591 36 37 38 39 40 41 42 4344 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 df

80% 0.100 0.200 1.306 1.305 1.304 1.304 1.303 1.303 1.302 1.302 1.301 1.301 1.300 1.300 1.299 1.299 1.299 1.298 1.298 1.298 1.297 1.297 1.297 1.297 1.296 1.296 1.296 1.296 1.295 1.295 1.295 1.295 1.295 1.294 1.294 1.294 1.294

90%

Confidence Intervals, c 95% 98%

99%

99.9% 0.0005 0.001 3.582 3.5743.566 3.558 3.551 3.544 3.538 3.532 3.526 3.520 3.515 3.510 3.505 3.500 3.496 3.492 3.488 3.484 3.480 3.476 3.473 3.470 3.466 3.463 3.460 3.457 3.454 3.452 3.449 3.447 3.444 3.442 3.439 3.437 3.435 (continued )

Level of Significance for One-Tailed Test, 0.050 0.025 0.010 0.005 Level of Significance for Two-Tailed Test, 0.10 0.05 0.02 0.01 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.8121.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.696 1.694 1.692 1.691 1.690 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.040 2.037 2.035 2.032 2.030 31.821 6.965 4.541 3.747 3.365 3.1432.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.453 2.449 2.445 2.441 2.438 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.744 2.738 2.733 2.728 2.724

Level ofSignificance for One-Tailed Test, 0.050 0.025 0.010 0.005 Level of Significance for Two-Tailed Test, 0.10 0.05 0.02 0.01 1.688 1.687 1.686 1.685 1.684 1.683 1.682 1.681 1.680 1.679 1.679 1.678 1.677 1.677 1.676 1.675 1.675 1.674 1.674 1.673 1.673 1.672 1.672 1.671 1.671 1.670 1.670 1.669 1.669 1.669 1.668 1.668 1.668 1.667 1.667 2.028 2.026 2.024 2.023 2.021 2.020 2.018 2.017 2.015 2.014 2.0132.012 2.011 2.010 2.009 2.008 2.007 2.006 2.005 2.004 2.003 2.002 2.002 2.001 2.000 2.000 1.999 1.998 1.998 1.997 1.997 1.996 1.995 1.995 1.994 2.434 2.431 2.429 2.426 2.423 2.421 2.418 2.416 2.414 2.412 2.410 2.408 2.407 2.405 2.403 2.402 2.400 2.399 2.397 2.396 2.395 2.394 2.392 2.391 2.390 2.389 2.388 2.387 2.386 2.385 2.384 2.383 2.382 2.382 2.381 2.719 2.715 2.712 2.708 2.704 2.701 2.698 2.6952.692 2.690 2.687 2.685 2.682 2.680 2.678 2.676 2.674 2.672 2.670 2.668 2.667 2.665 2.663 2.662 2.660 2.659 2.657 2.656 2.655 2.654 2.652 2.651 2.650 2.649 2.648

785

Appendix B
B.2 Student’s t Distribution (concluded )

80% df 0.100 0.200 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 1.294 1.293 1.293 1.293 1.293 1.293 1.293 1.292 1.292 1.292 1.292 1.292 1.292 1.292 1.292 1.2911.291 1.291

90%

Confidence Intervals, c 95% 98%

99%

99.9% 0.0005 0.001 3.433 3.431 3.429 3.427 3.425 3.423 3.421 3.420 3.418 3.416 3.415 3.413 3.412 3.410 3.409 3.407 3.406 3.405 89 90 91 92 93 94 95 96 97 98 99 100 120 140 160 180 200 df

80% 0.100 0.200 1.291 1.291 1.291 1.291 1.291 1.291 1.291 1.290 1.290 1.290 1.290 1.290 1.289 1.288 1.287 1.286 1.286 1.282

90%

Confidence...