# Inverse T Distribution Table

## Inverse T Distribution Table

This table gives the inverse cumulative distribution function (CDF) for Student’s T-Distribution. The formula for the inverse T-distribution is:

If a random variable X has a T-distribution with ν degrees of freedom, then Pr (X ≤ x) = P.

 df↓ / P→ 0.9 0.95 0.975 0.99 0.995 0.999 0.9995 ∞ 1.282 1.645 1.96 2.326 2.576 3.091 3.291 1 3.078 6.314 12.706 31.821 63.656 318.289 636.578 2 1.886 2.92 4.303 6.965 9.925 22.328 31.6 3 1.638 2.353 3.182 4.541 5.841 10.214 12.924 4 1.533 2.132 2.776 3.747 4.604 7.173 8.61 5 1.476 2.015 2.571 3.365 4.032 5.894 6.869 6 1.44 1.943 2.447 3.143 3.707 5.208 5.959 7 1.415 1.895 2.365 2.998 3.499 4.785 5.408 8 1.397 1.86 2.306 2.896 3.355 4.501 5.041 9 1.383 1.833 2.262 2.821 3.25 4.297 4.781 10 1.372 1.812 2.228 2.764 3.169 4.144 4.587 11 1.363 1.796 2.201 2.718 3.106 4.025 4.437 12 1.356 1.782 2.179 2.681 3.055 3.93 4.318 13 1.35 1.771 2.16 2.65 3.012 3.852 4.221 14 1.345 1.761 2.145 2.624 2.977 3.787 4.14 15 1.341 1.753 2.131 2.602 2.947 3.733 4.073 16 1.337 1.746 2.12 2.583 2.921 3.686 4.015 17 1.333 1.74 2.11 2.567 2.898 3.646 3.965 18 1.33 1.734 2.101 2.552 2.878 3.61 3.922 19 1.328 1.729 2.093 2.539 2.861 3.579 3.883 20 1.325 1.725 2.086 2.528 2.845 3.552 3.85 21 1.323 1.721 2.08 2.518 2.831 3.527 3.819 22 1.321 1.717 2.074 2.508 2.819 3.505 3.792 23 1.319 1.714 2.069 2.5 2.807 3.485 3.768 24 1.318 1.711 2.064 2.492 2.797 3.467 3.745 25 1.316 1.708 2.06 2.485 2.787 3.45 3.725 26 1.315 1.706 2.056 2.479 2.779 3.435 3.707 27 1.314 1.703 2.052 2.473 2.771 3.421 3.689 28 1.313 1.701 2.048 2.467 2.763 3.408 3.674 29 1.311 1.699 2.045 2.462 2.756 3.396 3.66 30 1.31 1.697 2.042 2.457 2.75 3.385 3.646 60 1.296 1.671 2 2.39 2.66 3.232 3.46 120 1.289 1.658 1.98 2.358 2.617 3.16 3.373 ∞ 1.282 1.645 1.96 2.326 2.576 3.091 3.291

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