t Distribution Lookup

The T-Distribution Lookup function returns the Student's t-table value based on the degrees of freedom, number of tails and alpha level.

INSTRUCTIONS: Enter the following:

• (DF) Degrees of freedom (1 to 200)
• (TA) One or Two Tails and Alpha Level
  • One: 0.05, 0.025, 0.01, 0.005, 0.0025, 0.001, 0.0005
  • Two: 0.1, 0.05, 0.02, 0.01, 0.005, 0.002, 0.001

t-Value (t): The calculator returns the value as a real number.

The Math / Science

// Column 1 is Degrees of Freedom

// One Tail  0.05  0.025  0.01  0.005  0.0025  0.001  0.0005

// Two Tails  0.1  0.05  0.02  0.01  0.005  0.002  0.001

[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]