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13.7: The t-Distribution Table for Degrees of Freedom = n - 1

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    The t-Distribution for Degrees of Freedom = n - 1 (Where n is the Sample Size)

    The t-Value Table for Degrees of Freedom = n – 1
    Confidence Intervals 80% 90% 95% 98% 99%
      One Tail (α) 0.10 0.05 0.03 0.01 0.01
    Degrees of Freedom Two Tails (α) 0.20 0.10 0.05 0.02 0.01
    1   3.078 6.314 12.706 31.821 63.657
    2   1.886 2.920 4.303 6.965 9.925
    3   1.638 2.353 3.182 4.541 5.841
    4   1.533 2.132 2.776 3.747 4.604
    5   1.476 2.015 2.571 3.365 4.032
    6   1.440 1.943 2.447 3.143 3.707
    7   1.415 1.895 2.365 2.998 3.499
    8   1.397 1.860 2.306 2.896 3.355
    9   1.383 1.833 2.262 2.821 3.250
    10   1.372 1.812 2.228 2.764 3.169
    11   1.363 1.796 2.201 2.718 3.106
    12   1.356 1.782 2.179 2.681 3.055
    13   1.350 1.771 2.160 2.650 3.012
    14   1.345 1.761 2.145 2.624 2.977
    15   1.341 1.753 2.131 2.602 2.947
    16   1.337 1.746 2.120 2.583 2.921
    17   1.333 1.740 2.110 2.567 2.898
    18   1.330 1.734 2.101 2.552 2.878
    19   1.328 1.729 2.093 2.539 2.861
    20   1.325 1.725 2.086 2.528 2.845
    21   1.323 1.721 2.080 2.518 2.831
    22   1.321 1.717 2.074 2.508 2.819
    23   1.319 1.714 2.069 2.500 2.807
    24   1.318 1.711 2.064 2.492 2.797
    25   1.316 1.708 2.060 2.485 2.787
    26   1.315 1.706 2.056 2.479 2.779
    27   1.314 1.703 2.052 2.473 2.771
    28   1.313 1.701 2.048 2.467 2.763
    29   1.311 1.699 2.045 2.462 2.756
    30   1.310 1.697 2.042 2.457 2.750
    31   1.309 1.696 2.040 2.453 2.744
    32   1.309 1.694 2.037 2.449 2.738
    33   1.308 1.692 2.035 2.445 2.733
    34   1.307 1.691 2.032 2.441 2.728
    35   1.306 1.690 2.030 2.438 2.724
    36   1.306 1.688 2.028 2.434 2.719
    37   1.305 1.687 2.026 2.431 2.715
    38   1.304 1.686 2.024 2.429 2.712
    39   1.304 1.685 2.023 2.426 2.708
    40   1.303 1.684 2.021 2.423 2.704
    45   1.301 1.679 2.014 2.412 2.690
    50   1.299 1.676 2.009 2.403 2.678
    55   1.297 1.673 2.004 2.396 2.668
    60   1.296 1.671 2.000 2.390 2.660
    65   1.295 1.669 1.997 2.385 2.654
    70   1.294 1.667 1.994 2.381 2.648
    75   1.293 1.665 1.992 2.377 2.643
    80   1.292 1.664 1.990 2.374 2.639
    85   1.292 1.663 1.988 2.371 2.635
    90   1.291 1.662 1.987 2.368 2.632
    95   1.291 1.661 1.985 2.366 2.629
    100   1.290 1.660 1.984 2.364 2.626
    200   1.286 1.653 1.972 2.345 2.601
    300   1.284 1.650 1.968 2.339 2.592
    400   1.284 1.649 1.966 2.336 2.588
    500   1.283 1.648 1.965 2.334 2.586
    z-values   1.282 1.645 1.960 2.326 2.576
    Table \(\PageIndex{1}\): The t-Value Table for Degrees of Freedom = n – 1

    This page titled 13.7: The t-Distribution Table for Degrees of Freedom = n - 1 is shared under a Public Domain license and was authored, remixed, and/or curated by Toros Berberyan, Tracy Nguyen, and Alfie Swan.