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

Calculate left-tailed value:

Our critical t-value = 2.2281

Final Answers


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


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
0.2921.4259
0.2931.2818
0.2941.2185
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
0.3281.056
0.3291.0553
0.3111.8887
0.3121.3482
0.3131.2189
0.3141.1616
0.3151.1294
0.3161.1087
0.3171.0944
0.3181.0839
0.3191.0758
0.31101.0695
0.31111.0643
0.31121.06
0.31131.0565
0.31141.0534
0.31151.0508
0.31161.0485
0.31171.0465
0.31181.0447
0.31191.0431
0.31201.0417
0.31211.0404
0.31221.0392
0.31231.0381
0.31241.0372
0.31251.0363
0.31261.0354
0.31271.0347
0.31281.034
0.31291.0333
0.3211.819
0.3221.3116
0.3231.1889
0.3241.1344
0.3251.1037
0.3261.084
0.3271.0703
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