<-- Enter α
<-- Enter Degrees of Freedom

Given α = 0.05, with 10 degrees of freedom,

calculate the right-tailed and left-tailed critical value for t

Calculate right-tailed value:

Since α = 0.05, the area under the curve is 1 - α → 1 - 0.05 = 0.95

Our critical t value is 0.0643

Excel or Google Sheets formula:

Excel or Google Sheets formula:=TINV(0.95,10)

Calculate left-tailed value:

Our critical t-value = 2.2281

Excel or Google Sheets formula:

Excel or Google Sheets formula:=TINV(0.05,10)

Final Answers

(left tail, right tail) = (0.0643, 2.2281)


You have 2 free calculationss remaining



What is the Answer?
(left tail, right tail) = (0.0643, 2.2281)
How does the Student-t Distribution Critical Values Calculator work?
Free Student-t Distribution Critical Values Calculator - Given an α value and degrees of freedom, this calculates the right-tailed test and left-tailed test critical values for the Student-t Distribution
This calculator has 2 inputs.

What 1 formula is used for the Student-t Distribution Critical Values Calculator?

df = n - 1

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Student-t Distribution Critical Values Calculator?

critical value
a point on the distribution of the test statistic under the null hypothesis that defines a set of values that call for rejecting the null hypothesis.
degrees of freedom
number of values in the final calculation of a statistic that are free to vary
student-t distribution critical values
Example calculations for the Student-t Distribution Critical Values Calculator
  1. df=10,alpha=0.05
  2. df=6,a=0.99

Student-t Distribution Critical Values Calculator Video


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αDegrees of FreedomProbability (Area under Curve)
0.01163.6567
0.0129.9248
0.0135.8409
0.0144.6041
0.0154.0321
0.0163.7074
0.0173.4995
0.0183.3554
0.0193.2498
0.01103.1693
0.01113.1058
0.01123.0545
0.01133.0123
0.01142.9768
0.01152.9467
0.01162.9208
0.01172.8982
0.01182.8784
0.01192.8609
0.01202.8453
0.01212.8314
0.01222.8188
0.01232.8073
0.01242.7969
0.01252.7874
0.01262.7787
0.01272.7707
0.01282.7633
0.01292.7564
0.02131.8205
0.0226.9646
0.0234.5407
0.0243.7469
0.0253.3649
0.0263.1427
0.0272.998
0.0282.8965
0.0292.8214
0.02102.7638
0.02112.7181
0.02122.681
0.02132.6503
0.02142.6245
0.02152.6025
0.02162.5835
0.02172.5669
0.02182.5524
0.02192.5395
0.02202.528
0.02212.5176
0.02222.5083
0.02232.4999
0.02242.4922
0.02252.4851
0.02262.4786
0.02272.4727
0.02282.4671
0.02292.462
0.03121.2049
0.0325.6428
0.0333.896
0.0343.2976
0.0353.0029
0.0362.8289
0.0372.7146
0.0382.6338
0.0392.5738
0.03102.5275
0.03112.4907
0.03122.4607
0.03132.4358
0.03142.4149
0.03152.397
0.03162.3815
0.03172.3681
0.03182.3562
0.03192.3456
0.03202.3362
0.03212.3278
0.03222.3202
0.03232.3132
0.03242.3069
0.03252.3011
0.03262.2958
0.03272.2909
0.03282.2864
0.03292.2822
0.04115.8945
0.0424.8487
0.0433.4819
0.0442.9985
0.0452.7565
0.0462.6122
0.0472.5168
0.0482.449
0.0492.3984
0.04102.3593
0.04112.3281
0.04122.3027
0.04132.2816
0.04142.2638
0.04152.2485
0.04162.2354
0.04172.2238
0.04182.2137
0.04192.2047
0.04202.1967
0.04212.1894
0.04222.1829
0.04232.177
0.04242.1715
0.04252.1666
0.04262.162
0.04272.1578
0.04282.1539
0.04292.1503
0.05112.7062
0.0524.3027
0.0533.1824
0.0542.7764
0.0552.5706
0.0562.4469
0.0572.3646
0.0582.306
0.0592.2622
0.05102.2281
0.05112.201
0.05122.1788
0.05132.1604
0.05142.1448
0.05152.1314
0.05162.1199
0.05172.1098
0.05182.1009
0.05192.093
0.05202.086
0.05212.0796
0.05222.0739
0.05232.0687
0.05242.0639
0.05252.0595
0.05262.0555
0.05272.0518
0.05282.0484
0.05292.0452
0.06110.5789
0.0623.8964
0.0632.9505
0.0642.6008
0.0652.4216
0.0662.3133
0.0672.2409
0.0682.1892
0.0692.1504
0.06102.1202
0.06112.0961
0.06122.0764
0.06132.06
0.06142.0462
0.06152.0343
0.06162.024
0.06172.015
0.06182.0071
0.06192
0.06201.9937
0.06211.988
0.06221.9829
0.06231.9782
0.06241.974
0.06251.9701
0.06261.9665
0.06271.9632
0.06281.9601
0.06291.9573
0.0719.0579
0.0723.5782
0.0732.7626
0.0742.4559
0.0752.2974
0.0762.2011
0.0772.1365
0.0782.0902
0.0792.0554
0.07102.0283
0.07112.0067
0.07121.9889
0.07131.9742
0.07141.9617
0.07151.9509
0.07161.9417
0.07171.9335
0.07181.9264
0.07191.92
0.07201.9143
0.07211.9092
0.07221.9045
0.07231.9003
0.07241.8965
0.07251.8929
0.07261.8897
0.07271.8867
0.07281.8839
0.07291.8813
0.0817.9158
0.0823.3198
0.0832.6054
0.0842.3329
0.0852.191
0.0862.1043
0.0872.046
0.0882.0042
0.0891.9727
0.08101.9481
0.08111.9284
0.08121.9123
0.08131.8989
0.08141.8875
0.08151.8777
0.08161.8693
0.08171.8619
0.08181.8553
0.08191.8495
0.08201.8443
0.08211.8397
0.08221.8354
0.08231.8316
0.08241.8281
0.08251.8248
0.08261.8219
0.08271.8191
0.08281.8166
0.08291.8142
0.0917.0264
0.0923.104
0.0932.4708
0.0942.2261
0.0952.0978
0.0962.0192
0.0971.9662
0.0981.928
0.0991.8992
0.09101.8768
0.09111.8588
0.09121.844
0.09131.8317
0.09141.8213
0.09151.8123
0.09161.8046
0.09171.7978
0.09181.7918
0.09191.7864
0.09201.7816
0.09211.7773
0.09221.7734
0.09231.7699
0.09241.7667
0.09251.7637
0.09261.761
0.09271.7585
0.09281.7561
0.09291.754
0.116.3138
0.122.92
0.132.3534
0.142.1318
0.152.015
0.161.9432
0.171.8946
0.181.8595
0.191.8331
0.1101.8125
0.1111.7959
0.1121.7823
0.1131.7709
0.1141.7613
0.1151.7531
0.1161.7459
0.1171.7396
0.1181.7341
0.1191.7291
0.1201.7247
0.1211.7207
0.1221.7171
0.1231.7139
0.1241.7109
0.1251.7081
0.1261.7056
0.1271.7033
0.1281.7011
0.1291.6991
0.1115.7297
0.1122.7604
0.1132.2494
0.1142.0475
0.1151.9405
0.1161.8744
0.1171.8297
0.1181.7973
0.1191.7729
0.11101.7538
0.11111.7385
0.11121.7259
0.11131.7154
0.11141.7064
0.11151.6988
0.11161.6921
0.11171.6863
0.11181.6812
0.11191.6766
0.11201.6725
0.11211.6688
0.11221.6655
0.11231.6624
0.11241.6596
0.11251.6571
0.11261.6547
0.11271.6526
0.11281.6506
0.11291.6487
0.1215.2422
0.1222.6202
0.1232.1562
0.1241.9712
0.1251.8727
0.1261.8117
0.1271.7702
0.1281.7402
0.1291.7176
0.12101.6998
0.12111.6856
0.12121.6739
0.12131.6641
0.12141.6558
0.12151.6487
0.12161.6425
0.12171.637
0.12181.6322
0.12191.628
0.12201.6242
0.12211.6207
0.12221.6176
0.12231.6148
0.12241.6122
0.12251.6098
0.12261.6076
0.12271.6056
0.12281.6037
0.12291.602
0.1314.8288
0.1322.4954
0.1332.0719
0.1341.9016
0.1351.8104
0.1361.7538
0.1371.7153
0.1381.6874
0.1391.6663
0.13101.6498
0.13111.6365
0.13121.6256
0.13131.6164
0.13141.6087
0.13151.602
0.13161.5962
0.13171.5911
0.13181.5867
0.13191.5827
0.13201.5791
0.13211.5759
0.13221.573
0.13231.5703
0.13241.5679
0.13251.5657
0.13261.5636
0.13271.5617
0.13281.56
0.13291.5583
0.1414.4737
0.1422.3834
0.1431.995
0.1441.8375
0.1451.7529
0.1461.7002
0.1471.6643
0.1481.6383
0.1491.6185
0.14101.6031
0.14111.5906
0.14121.5804
0.14131.5718
0.14141.5646
0.14151.5583
0.14161.5529
0.14171.5482
0.14181.5439
0.14191.5402
0.14201.5369
0.14211.5338
0.14221.5311
0.14231.5286
0.14241.5263
0.14251.5242
0.14261.5223
0.14271.5205
0.14281.5189
0.14291.5174
0.1514.1653
0.1522.2819
0.1531.9243
0.1541.7782
0.1551.6994
0.1561.6502
0.1571.6166
0.1581.5922
0.1591.5737
0.15101.5592
0.15111.5476
0.15121.538
0.15131.5299
0.15141.5231
0.15151.5172
0.15161.5121
0.15171.5077
0.15181.5037
0.15191.5002
0.15201.497
0.15211.4942
0.15221.4916
0.15231.4893
0.15241.4871
0.15251.4852
0.15261.4834
0.15271.4817
0.15281.4801
0.15291.4787
0.1613.8947
0.1622.1894
0.1631.8589
0.1641.7229
0.1651.6493
0.1661.6033
0.1671.5718
0.1681.5489
0.1691.5315
0.16101.5179
0.16111.5069
0.16121.4979
0.16131.4903
0.16141.4839
0.16151.4784
0.16161.4736
0.16171.4694
0.16181.4656
0.16191.4623
0.16201.4593
0.16211.4567
0.16221.4542
0.16231.452
0.16241.45
0.16251.4482
0.16261.4464
0.16271.4449
0.16281.4434
0.16291.4421
0.1713.6554
0.1722.1045
0.1731.7981
0.1741.6712
0.1751.6023
0.1761.559
0.1771.5295
0.1781.5079
0.1791.4916
0.17101.4788
0.17111.4684
0.17121.4599
0.17131.4528
0.17141.4467
0.17151.4415
0.17161.4369
0.17171.433
0.17181.4295
0.17191.4263
0.17201.4235
0.17211.421
0.17221.4187
0.17231.4166
0.17241.4147
0.17251.413
0.17261.4113
0.17271.4098
0.17281.4085
0.17291.4072
0.1813.442
0.1822.0261
0.1831.7413
0.1841.6226
0.1851.5579
0.1861.5172
0.1871.4894
0.1881.4691
0.1891.4537
0.18101.4416
0.18111.4318
0.18121.4237
0.18131.417
0.18141.4113
0.18151.4063
0.18161.4021
0.18171.3983
0.18181.395
0.18191.392
0.18201.3894
0.18211.387
0.18221.3848
0.18231.3828
0.18241.381
0.18251.3794
0.18261.3778
0.18271.3764
0.18281.3751
0.18291.3739
0.1913.2506
0.1921.9534
0.1931.688
0.1941.5767
0.1951.5158
0.1961.4775
0.1971.4513
0.1981.4321
0.1991.4175
0.19101.4061
0.19111.3969
0.19121.3892
0.19131.3829
0.19141.3774
0.19151.3728
0.19161.3687
0.19171.3652
0.19181.362
0.19191.3592
0.19201.3567
0.19211.3544
0.19221.3524
0.19231.3505
0.19241.3488
0.19251.3472
0.19261.3458
0.19271.3444
0.19281.3432
0.19291.342
0.213.0777
0.221.8856
0.231.6377
0.241.5332
0.251.4759
0.261.4398
0.271.4149
0.281.3968
0.291.383
0.2101.3722
0.2111.3634
0.2121.3562
0.2131.3502
0.2141.345
0.2151.3406
0.2161.3368
0.2171.3334
0.2181.3304
0.2191.3277
0.2201.3253
0.2211.3232
0.2221.3212
0.2231.3195
0.2241.3178
0.2251.3163
0.2261.315
0.2271.3137
0.2281.3125
0.2291.3114
0.2112.9208
0.2121.8222
0.2131.5903
0.2141.4919
0.2151.4378
0.2161.4037
0.2171.3802
0.2181.363
0.2191.35
0.21101.3397
0.21111.3314
0.21121.3245
0.21131.3188
0.21141.3139
0.21151.3097
0.21161.3061
0.21171.3028
0.21181.3
0.21191.2975
0.21201.2952
0.21211.2932
0.21221.2913
0.21231.2896
0.21241.2881
0.21251.2867
0.21261.2854
0.21271.2841
0.21281.283
0.21291.282
0.2212.7776
0.2221.7627
0.2231.5452
0.2241.4525
0.2251.4014
0.2261.3691
0.2271.3469
0.2281.3306
0.2291.3182
0.22101.3084
0.22111.3005
0.22121.294
0.22131.2886
0.22141.284
0.22151.28
0.22161.2765
0.22171.2734
0.22181.2707
0.22191.2683
0.22201.2662
0.22211.2642
0.22221.2625
0.22231.2609
0.22241.2594
0.22251.258
0.22261.2568
0.22271.2557
0.22281.2546
0.22291.2536
0.2312.6464
0.2321.7067
0.2331.5024
0.2341.4149
0.2351.3666
0.2361.336
0.2371.3148
0.2381.2994
0.2391.2876
0.23101.2783
0.23111.2709
0.23121.2647
0.23131.2595
0.23141.2551
0.23151.2513
0.23161.248
0.23171.2451
0.23181.2425
0.23191.2402
0.23201.2381
0.23211.2363
0.23221.2346
0.23231.2331
0.23241.2317
0.23251.2304
0.23261.2292
0.23271.2281
0.23281.2271
0.23291.2262
0.2412.5257
0.2421.6537
0.2431.4616
0.2441.3789
0.2451.3331
0.2461.3041
0.2471.284
0.2481.2693
0.2491.2581
0.24101.2493
0.24111.2422
0.24121.2363
0.24131.2314
0.24141.2272
0.24151.2235
0.24161.2204
0.24171.2176
0.24181.2152
0.24191.213
0.24201.211
0.24211.2093
0.24221.2077
0.24231.2062
0.24241.2049
0.24251.2036
0.24261.2025
0.24271.2015
0.24281.2005
0.24291.1996
0.2512.4142
0.2521.6036
0.2531.4226
0.2541.3444
0.2551.3009
0.2561.2733
0.2571.2543
0.2581.2403
0.2591.2297
0.25101.2213
0.25111.2145
0.25121.2089
0.25131.2041
0.25141.2001
0.25151.1967
0.25161.1937
0.25171.191
0.25181.1887
0.25191.1866
0.25201.1848
0.25211.1831
0.25221.1815
0.25231.1802
0.25241.1789
0.25251.1777
0.25261.1766
0.25271.1756
0.25281.1747
0.25291.1739
0.2612.3109
0.2621.5559
0.2631.3853
0.2641.3112
0.2651.2699
0.2661.2437
0.2671.2255
0.2681.2123
0.2691.2021
0.26101.1941
0.26111.1876
0.26121.1823
0.26131.1778
0.26141.1739
0.26151.1707
0.26161.1678
0.26171.1653
0.26181.163
0.26191.1611
0.26201.1593
0.26211.1577
0.26221.1562
0.26231.1549
0.26241.1537
0.26251.1525
0.26261.1515
0.26271.1506
0.26281.1497
0.26291.1489
0.2712.2148
0.2721.5105
0.2731.3494
0.2741.2792
0.2751.24
0.2761.215
0.2771.1977
0.2781.1851
0.2791.1754
0.27101.1677
0.27111.1616
0.27121.1565
0.27131.1522
0.27141.1485
0.27151.1454
0.27161.1426
0.27171.1402
0.27181.1381
0.27191.1362
0.27201.1345
0.27211.133
0.27221.1316
0.27231.1303
0.27241.1291
0.27251.1281
0.27261.1271
0.27271.1262
0.27281.1253
0.27291.1246
0.2812.1251
0.2821.4673
0.2831.315
0.2841.2483
0.2851.211
0.2861.1872
0.2871.1708
0.2881.1587
0.2891.1494
0.28101.1422
0.28111.1363
0.28121.1314
0.28131.1273
0.28141.1238
0.28151.1208
0.28161.1182
0.28171.1159
0.28181.1138
0.28191.112
0.28201.1104
0.28211.1089
0.28221.1076
0.28231.1064
0.28241.1053
0.28251.1043
0.28261.1033
0.28271.1024
0.28281.1016
0.28291.1009
0.2912.0413
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0.2931.2818
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0.2951.183
0.2961.1603
0.2971.1446
0.2981.1331
0.2991.1242
0.29101.1173
0.29111.1116
0.29121.107
0.29131.1031
0.29141.0997
0.29151.0969
0.29161.0944
0.29171.0922
0.29181.0902
0.29191.0885
0.29201.0869
0.29211.0855
0.29221.0842
0.29231.0831
0.29241.082
0.29251.081
0.29261.0801
0.29271.0793
0.29281.0785
0.29291.0778
0.311.9626
0.321.3862
0.331.2498
0.341.1896
0.351.1558
0.361.1342
0.371.1192
0.381.1081
0.391.0997
0.3101.0931
0.3111.0877
0.3121.0832
0.3131.0795
0.3141.0763
0.3151.0735
0.3161.0711
0.3171.069
0.3181.0672
0.3191.0655
0.3201.064
0.3211.0627
0.3221.0614
0.3231.0603
0.3241.0593
0.3251.0584
0.3261.0575
0.3271.0567
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