# T-Distribution Critical Value Table

T-Distribution refers to a type of probability distribution that is theoretical and resembles a normal distribution. The higher the degrees of freedom, the closer that distribution will resemble a standard normal distribution with a mean of 0, and a standard deviation of 1. It is symmetrical, bell-shaped, and similar to the standard normal curve. The T distribution is also known as the "Student's T Distribution".
T-Distribution Critical Value Table
 α (1 tail) 0.05 0.025 0.01 0.005 0.0025 0.001 0.0005 α (2 tail) 0.1 0.05 0.02 0.01 0.005 0.002 0.001 df 1 6.3138 12.7065 31.8193 63.6551 127.3447 318.4930 636.0450 2 2.9200 4.3026 6.9646 9.9247 14.0887 22.3276 31.5989 3 2.3534 3.1824 4.5407 5.8408 7.4534 10.2145 12.9242 4 2.1319 2.7764 3.7470 4.6041 5.5976 7.1732 8.6103 5 2.0150 2.5706 3.3650 4.0322 4.7734 5.8934 6.8688 6 1.9432 2.4469 3.1426 3.7074 4.3168 5.2076 5.9589 7 1.8946 2.3646 2.9980 3.4995 4.0294 4.7852 5.4079 8 1.8595 2.3060 2.8965 3.3554 3.8325 4.5008 5.0414 9 1.8331 2.2621 2.8214 3.2498 3.6896 4.2969 4.7809 10 1.8124 2.2282 2.7638 3.1693 3.5814 4.1437 4.5869 11 1.7959 2.2010 2.7181 3.1058 3.4966 4.0247 4.4369 12 1.7823 2.1788 2.6810 3.0545 3.4284 3.9296 4.3178 13 1.7709 2.1604 2.6503 3.0123 3.3725 3.8520 4.2208 14 1.7613 2.1448 2.6245 2.9768 3.3257 3.7874 4.1404 15 1.7530 2.1314 2.6025 2.9467 3.2860 3.7328 4.0728 16 1.7459 2.1199 2.5835 2.9208 3.2520 3.6861 4.0150 17 1.7396 2.1098 2.5669 2.8983 3.2224 3.6458 3.9651 18 1.7341 2.1009 2.5524 2.8784 3.1966 3.6105 3.9216 19 1.7291 2.0930 2.5395 2.8609 3.1737 3.5794 3.8834 20 1.7247 2.0860 2.5280 2.8454 3.1534 3.5518 3.8495 21 1.7207 2.0796 2.5176 2.8314 3.1352 3.5272 3.8193 22 1.7172 2.0739 2.5083 2.8188 3.1188 3.5050 3.7921 23 1.7139 2.0686 2.4998 2.8073 3.1040 3.4850 3.7676 24 1.7109 2.0639 2.4922 2.7970 3.0905 3.4668 3.7454 25 1.7081 2.0596 2.4851 2.7874 3.0782 3.4502 3.7251 26 1.7056 2.0555 2.4786 2.7787 3.0669 3.4350 3.7067 27 1.7033 2.0518 2.4727 2.7707 3.0565 3.4211 3.6896 28 1.7011 2.0484 2.4671 2.7633 3.0469 3.4082 3.6739 29 1.6991 2.0452 2.4620 2.7564 3.0380 3.3962 3.6594 30 1.6973 2.0423 2.4572 2.7500 3.0298 3.3852 3.6459 31 1.6955 2.0395 2.4528 2.7440 3.0221 3.3749 3.6334 32 1.6939 2.0369 2.4487 2.7385 3.0150 3.3653 3.6218 33 1.6924 2.0345 2.4448 2.7333 3.0082 3.3563 3.6109 34 1.6909 2.0322 2.4411 2.7284 3.0019 3.3479 3.6008 35 1.6896 2.0301 2.4377 2.7238 2.9961 3.3400 3.5912 36 1.6883 2.0281 2.4345 2.7195 2.9905 3.3326 3.5822 37 1.6871 2.0262 2.4315 2.7154 2.9853 3.3256 3.5737 38 1.6859 2.0244 2.4286 2.7115 2.9803 3.3190 3.5657 39 1.6849 2.0227 2.4258 2.7079 2.9756 3.3128 3.5581 40 1.6839 2.0211 2.4233 2.7045 2.9712 3.3069 3.5510 41 1.6829 2.0196 2.4208 2.7012 2.9670 3.3013 3.5442 42 1.6820 2.0181 2.4185 2.6981 2.9630 3.2959 3.5378 43 1.6811 2.0167 2.4162 2.6951 2.9591 3.2909 3.5316 44 1.6802 2.0154 2.4142 2.6923 2.9555 3.2861 3.5258 45 1.6794 2.0141 2.4121 2.6896 2.9521 3.2815 3.5202 46 1.6787 2.0129 2.4102 2.6870 2.9488 3.2771 3.5149 47 1.6779 2.0117 2.4083 2.6846 2.9456 3.2729 3.5099 48 1.6772 2.0106 2.4066 2.6822 2.9426 3.2689 3.5051 49 1.6766 2.0096 2.4049 2.6800 2.9397 3.2651 3.5004 50 1.6759 2.0086 2.4033 2.6778 2.9370 3.2614 3.4960 51 1.6753 2.0076 2.4017 2.6757 2.9343 3.2579 3.4917 52 1.6747 2.0066 2.4002 2.6737 2.9318 3.2545 3.4877 53 1.6741 2.0057 2.3988 2.6718 2.9293 3.2513 3.4838 54 1.6736 2.0049 2.3974 2.6700 2.9270 3.2482 3.4800 55 1.6730 2.0041 2.3961 2.6682 2.9247 3.2451 3.4764 56 1.6725 2.0032 2.3948 2.6665 2.9225 3.2423 3.4730 57 1.6720 2.0025 2.3936 2.6649 2.9204 3.2394 3.4696 58 1.6715 2.0017 2.3924 2.6633 2.9184 3.2368 3.4663 59 1.6711 2.0010 2.3912 2.6618 2.9164 3.2342 3.4632 60 1.6706 2.0003 2.3901 2.6603 2.9146 3.2317 3.4602 61 1.6702 1.9996 2.3890 2.6589 2.9127 3.2293 3.4573 62 1.6698 1.9990 2.3880 2.6575 2.9110 3.2269 3.4545 63 1.6694 1.9983 2.3870 2.6561 2.9092 3.2247 3.4518 64 1.6690 1.9977 2.3860 2.6549 2.9076 3.2225 3.4491 65 1.6686 1.9971 2.3851 2.6536 2.9060 3.2204 3.4466 66 1.6683 1.9966 2.3842 2.6524 2.9045 3.2184 3.4441 67 1.6679 1.9960 2.3833 2.6512 2.9030 3.2164 3.4417 68 1.6676 1.9955 2.3824 2.6501 2.9015 3.2144 3.4395 69 1.6673 1.9950 2.3816 2.6490 2.9001 3.2126 3.4372 70 1.6669 1.9944 2.3808 2.6479 2.8987 3.2108 3.4350 71 1.6666 1.9939 2.3800 2.6468 2.8974 3.2090 3.4329 72 1.6663 1.9935 2.3793 2.6459 2.8961 3.2073 3.4308 73 1.6660 1.9930 2.3785 2.6449 2.8948 3.2056 3.4288 74 1.6657 1.9925 2.3778 2.6439 2.8936 3.2040 3.4269 75 1.6654 1.9921 2.3771 2.6430 2.8925 3.2025 3.4250 76 1.6652 1.9917 2.3764 2.6421 2.8913 3.2010 3.4232 77 1.6649 1.9913 2.3758 2.6412 2.8902 3.1995 3.4214 78 1.6646 1.9909 2.3751 2.6404 2.8891 3.1980 3.4197 79 1.6644 1.9904 2.3745 2.6395 2.8880 3.1966 3.4180 80 1.6641 1.9901 2.3739 2.6387 2.8870 3.1953 3.4164 81 1.6639 1.9897 2.3733 2.6379 2.8859 3.1939 3.4147 82 1.6636 1.9893 2.3727 2.6371 2.8850 3.1926 3.4132 83 1.6634 1.9889 2.3721 2.6364 2.8840 3.1913 3.4117 84 1.6632 1.9886 2.3716 2.6356 2.8831 3.1901 3.4101 85 1.6630 1.9883 2.3710 2.6349 2.8821 3.1889 3.4087 86 1.6628 1.9879 2.3705 2.6342 2.8813 3.1877 3.4073 87 1.6626 1.9876 2.3700 2.6335 2.8804 3.1866 3.4059 88 1.6623 1.9873 2.3695 2.6328 2.8795 3.1854 3.4046 89 1.6622 1.9870 2.3690 2.6322 2.8787 3.1844 3.4032 90 1.6620 1.9867 2.3685 2.6316 2.8779 3.1833 3.4020 91 1.6618 1.9864 2.3680 2.6309 2.8771 3.1822 3.4006 92 1.6616 1.9861 2.3676 2.6303 2.8763 3.1812 3.3995 93 1.6614 1.9858 2.3671 2.6297 2.8755 3.1802 3.3982 94 1.6612 1.9855 2.3667 2.6292 2.8748 3.1792 3.3970 95 1.6610 1.9852 2.3662 2.6286 2.8741 3.1782 3.3959 96 1.6609 1.9850 2.3658 2.6280 2.8734 3.1773 3.3947 97 1.6607 1.9847 2.3654 2.6275 2.8727 3.1764 3.3936 98 1.6606 1.9845 2.3650 2.6269 2.8720 3.1755 3.3926 99 1.6604 1.9842 2.3646 2.6264 2.8713 3.1746 3.3915 100 1.6602 1.9840 2.3642 2.6259 2.8706 3.1738 3.3905 101 1.6601 1.9837 2.3638 2.6254 2.8700 3.1729 3.3894 102 1.6599 1.9835 2.3635 2.6249 2.8694 3.1720 3.3885 103 1.6598 1.9833 2.3631 2.6244 2.8687 3.1712 3.3875 104 1.6596 1.9830 2.3627 2.6240 2.8682 3.1704 3.3866 105 1.6595 1.9828 2.3624 2.6235 2.8675 3.1697 3.3856 106 1.6593 1.9826 2.3620 2.6230 2.8670 3.1689 3.3847 107 1.6592 1.9824 2.3617 2.6225 2.8664 3.1681 3.3838 108 1.6591 1.9822 2.3614 2.6221 2.8658 3.1674 3.3829 109 1.6589 1.9820 2.3611 2.6217 2.8653 3.1667 3.3820 110 1.6588 1.9818 2.3607 2.6212 2.8647 3.1660 3.3812 111 1.6587 1.9816 2.3604 2.6208 2.8642 3.1653 3.3803 112 1.6586 1.9814 2.3601 2.6204 2.8637 3.1646 3.3795 113 1.6585 1.9812 2.3598 2.6200 2.8632 3.1640 3.3787 114 1.6583 1.9810 2.3595 2.6196 2.8627 3.1633 3.3779 115 1.6582 1.9808 2.3592 2.6192 2.8622 3.1626 3.3771 116 1.6581 1.9806 2.3589 2.6189 2.8617 3.1620 3.3764 117 1.6580 1.9805 2.3586 2.6185 2.8612 3.1614 3.3756 118 1.6579 1.9803 2.3583 2.6181 2.8608 3.1607 3.3749 119 1.6578 1.9801 2.3581 2.6178 2.8603 3.1601 3.3741 120 1.6577 1.9799 2.3578 2.6174 2.8599 3.1595 3.3735 121 1.6575 1.9798 2.3576 2.6171 2.8594 3.1589 3.3727 122 1.6574 1.9796 2.3573 2.6168 2.8590 3.1584 3.3721 123 1.6573 1.9794 2.3571 2.6164 2.8585 3.1578 3.3714 124 1.6572 1.9793 2.3568 2.6161 2.8582 3.1573 3.3707 125 1.6571 1.9791 2.3565 2.6158 2.8577 3.1567 3.3700 126 1.6570 1.9790 2.3563 2.6154 2.8573 3.1562 3.3694 127 1.6570 1.9788 2.3561 2.6151 2.8569 3.1556 3.3688 128 1.6568 1.9787 2.3559 2.6148 2.8565 3.1551 3.3682 129 1.6568 1.9785 2.3556 2.6145 2.8561 3.1546 3.3676 130 1.6567 1.9784 2.3554 2.6142 2.8557 3.1541 3.3669 131 1.6566 1.9782 2.3552 2.6139 2.8554 3.1536 3.3663 132 1.6565 1.9781 2.3549 2.6136 2.8550 3.1531 3.3658 133 1.6564 1.9779 2.3547 2.6133 2.8546 3.1526 3.3652 134 1.6563 1.9778 2.3545 2.6130 2.8542 3.1522 3.3646 135 1.6562 1.9777 2.3543 2.6127 2.8539 3.1517 3.3641 136 1.6561 1.9776 2.3541 2.6125 2.8536 3.1512 3.3635 137 1.6561 1.9774 2.3539 2.6122 2.8532 3.1508 3.3630 138 1.6560 1.9773 2.3537 2.6119 2.8529 3.1503 3.3624 139 1.6559 1.9772 2.3535 2.6117 2.8525 3.1499 3.3619 140 1.6558 1.9771 2.3533 2.6114 2.8522 3.1495 3.3614 141 1.6557 1.9769 2.3531 2.6112 2.8519 3.1491 3.3609 142 1.6557 1.9768 2.3529 2.6109 2.8516 3.1486 3.3604 143 1.6556 1.9767 2.3527 2.6106 2.8512 3.1482 3.3599 144 1.6555 1.9766 2.3525 2.6104 2.8510 3.1478 3.3594 145 1.6554 1.9765 2.3523 2.6102 2.8506 3.1474 3.3589 146 1.6554 1.9764 2.3522 2.6099 2.8503 3.1470 3.3584 147 1.6553 1.9762 2.3520 2.6097 2.8500 3.1466 3.3579 148 1.6552 1.9761 2.3518 2.6094 2.8497 3.1462 3.3575 149 1.6551 1.9760 2.3516 2.6092 2.8494 3.1458 3.3570 150 1.6551 1.9759 2.3515 2.6090 2.8491 3.1455 3.3565 151 1.6550 1.9758 2.3513 2.6088 2.8489 3.1451 3.3561 152 1.6549 1.9757 2.3511 2.6085 2.8486 3.1447 3.3557 153 1.6549 1.9756 2.3510 2.6083 2.8483 3.1443 3.3552 154 1.6548 1.9755 2.3508 2.6081 2.8481 3.1440 3.3548 155 1.6547 1.9754 2.3507 2.6079 2.8478 3.1436 3.3544 156 1.6547 1.9753 2.3505 2.6077 2.8475 3.1433 3.3540 157 1.6546 1.9752 2.3503 2.6075 2.8472 3.1430 3.3536 158 1.6546 1.9751 2.3502 2.6073 2.8470 3.1426 3.3531 159 1.6545 1.9750 2.3500 2.6071 2.8467 3.1423 3.3528 160 1.6544 1.9749 2.3499 2.6069 2.8465 3.1419 3.3523 161 1.6544 1.9748 2.3497 2.6067 2.8463 3.1417 3.3520 162 1.6543 1.9747 2.3496 2.6065 2.8460 3.1413 3.3516 163 1.6543 1.9746 2.3495 2.6063 2.8458 3.1410 3.3512 164 1.6542 1.9745 2.3493 2.6062 2.8455 3.1407 3.3508 165 1.6542 1.9744 2.3492 2.6060 2.8452 3.1403 3.3505 166 1.6541 1.9744 2.3490 2.6058 2.8450 3.1400 3.3501 167 1.6540 1.9743 2.3489 2.6056 2.8448 3.1398 3.3497 168 1.6540 1.9742 2.3487 2.6054 2.8446 3.1394 3.3494 169 1.6539 1.9741 2.3486 2.6052 2.8443 3.1392 3.3490 170 1.6539 1.9740 2.3485 2.6051 2.8441 3.1388 3.3487 171 1.6538 1.9739 2.3484 2.6049 2.8439 3.1386 3.3483 172 1.6537 1.9739 2.3482 2.6047 2.8437 3.1383 3.3480 173 1.6537 1.9738 2.3481 2.6046 2.8435 3.1380 3.3477 174 1.6537 1.9737 2.3480 2.6044 2.8433 3.1377 3.3473 175 1.6536 1.9736 2.3478 2.6042 2.8430 3.1375 3.3470 176 1.6536 1.9735 2.3477 2.6041 2.8429 3.1372 3.3466 177 1.6535 1.9735 2.3476 2.6039 2.8427 3.1369 3.3464 178 1.6535 1.9734 2.3475 2.6037 2.8424 3.1366 3.3460 179 1.6534 1.9733 2.3474 2.6036 2.8423 3.1364 3.3457 180 1.6534 1.9732 2.3472 2.6034 2.8420 3.1361 3.3454 181 1.6533 1.9731 2.3471 2.6033 2.8419 3.1358 3.3451 182 1.6533 1.9731 2.3470 2.6031 2.8416 3.1356 3.3448 183 1.6532 1.9730 2.3469 2.6030 2.8415 3.1354 3.3445 184 1.6532 1.9729 2.3468 2.6028 2.8413 3.1351 3.3442 185 1.6531 1.9729 2.3467 2.6027 2.8411 3.1349 3.3439 186 1.6531 1.9728 2.3466 2.6025 2.8409 3.1346 3.3436 187 1.6531 1.9727 2.3465 2.6024 2.8407 3.1344 3.3433 188 1.6530 1.9727 2.3463 2.6022 2.8406 3.1341 3.3430 189 1.6529 1.9726 2.3463 2.6021 2.8403 3.1339 3.3428 190 1.6529 1.9725 2.3461 2.6019 2.8402 3.1337 3.3425 191 1.6529 1.9725 2.3460 2.6018 2.8400 3.1334 3.3422 192 1.6528 1.9724 2.3459 2.6017 2.8398 3.1332 3.3419 193 1.6528 1.9723 2.3458 2.6015 2.8397 3.1330 3.3417 194 1.6528 1.9723 2.3457 2.6014 2.8395 3.1328 3.3414 195 1.6527 1.9722 2.3456 2.6013 2.8393 3.1326 3.3411 196 1.6527 1.9721 2.3455 2.6012 2.8392 3.1323 3.3409 197 1.6526 1.9721 2.3454 2.6010 2.8390 3.1321 3.3406 198 1.6526 1.9720 2.3453 2.6009 2.8388 3.1319 3.3403 199 1.6525 1.9720 2.3452 2.6008 2.8387 3.1317 3.3401 200 1.6525 1.9719 2.3451 2.6007 2.8385 3.1315 3.3398

Formula
Percentage of Calcium =
(Volume of KMno4 * Normality of KMno4 * 250 * 100 * 20 / Sample weight * 25 * 1000
A T distribution differs from the normal distribution by its degrees of freedom. A distribution used to test a hypothesis about a population mean when the population standard deviation is not known, the sample size is small, and the normal distribution is assumed for the sample mean.