Given = 0.99, with 16 degrees of freedom, calculate the right-

 Posted on May 14, 2024  |  2 minutes  |  247 words  |  Lashay Rain
Given α = 0.99, with 16 degrees of freedom, calculate the right- MathCelebrity logo Image to Crop

Given α = 0.99, with 6 degrees of freedom,

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

Calculate right-tailed value:

Since α = 0.99, the area under the curve is 1 - α → 1 - 0.99 = 0.01

Our critical t value is 3.7074

Excel or Google Sheets formula:
Excel or Google Sheets formula:=TINV(0.01,6)
Calculate left-tailed value:

Our critical t-value = 0.0131

Excel or Google Sheets formula:
Excel or Google Sheets formula:=TINV(0.99,6)
Final Answers

(left tail, right tail) = (3.7074, 0.0131)

You have 1 free calculations remaining


What is the Answer?

(left tail, right tail) = (3.7074, 0.0131)

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?

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

critical valuea 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 freedomnumber of values in the final calculation of a statistic that are free to varystudent-t distribution critical values

Example calculations for the Student-t Distribution Critical Values Calculator

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
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
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