Critical Values of Student's t Distribution
One sided test Prob(t≤c) = p
Reference: NIST/SEMATECH e-Handbook of Statistical Methods |
ν\p |
.9 |
.95 |
.975 |
.99 |
.995 |
.9975 |
.999 |
.9995 |
.99975 |
.9999 |
1 | 3.0776835 | 6.3137515 | 12.706205 | 31.820516 | 63.656741 | 127.32134 | 318.30884 | 636.61925 | 1273.2393 | 3183.0988 |
2 | 1.8856181 | 2.9199856 | 4.3026527 | 6.9645567 | 9.9248432 | 14.089047 | 22.327125 | 31.599055 | 44.704587 | 70.700071 |
3 | 1.6377444 | 2.3533634 | 3.1824463 | 4.5407029 | 5.8409093 | 7.4533185 | 10.214532 | 12.923979 | 16.326335 | 22.203742 |
4 | 1.5332063 | 2.1318468 | 2.7764451 | 3.7469474 | 4.6040949 | 5.5975684 | 7.1731822 | 8.6103016 | 10.306255 | 13.033672 |
5 | 1.4758840 | 2.0150484 | 2.5705818 | 3.3649300 | 4.0321430 | 4.7733406 | 5.8934295 | 6.8688266 | 7.9756534 | 9.6775663 |
6 | 1.4397557 | 1.9431803 | 2.4469119 | 3.1426684 | 3.7074280 | 4.3168271 | 5.2076262 | 5.9588162 | 6.7883400 | 8.0247928 |
7 | 1.4149239 | 1.8945786 | 2.3646243 | 2.9979516 | 3.4994833 | 4.0293372 | 4.7852896 | 5.4078825 | 6.0817562 | 7.0634328 |
8 | 1.3968153 | 1.8595480 | 2.3060041 | 2.8964594 | 3.3553873 | 3.8325187 | 4.5007909 | 5.0413054 | 5.6174108 | 6.4419998 |
9 | 1.3830287 | 1.8331129 | 2.2621572 | 2.8214379 | 3.2498355 | 3.6896624 | 4.2968057 | 4.7809126 | 5.2906538 | 6.0101321 |
10 | 1.3721836 | 1.8124611 | 2.2281389 | 2.7637695 | 3.1692727 | 3.5814062 | 4.1437005 | 4.5868939 | 5.0489727 | 5.6938201 |
11 | 1.3634303 | 1.7958848 | 2.2009852 | 2.7180792 | 3.1058065 | 3.4966142 | 4.0247010 | 4.4369793 | 4.8633331 | 5.4527621 |
12 | 1.3562173 | 1.7822876 | 2.1788128 | 2.6809980 | 3.0545396 | 3.4284442 | 3.9296333 | 4.3177913 | 4.7164587 | 5.2632730 |
13 | 1.3501713 | 1.7709334 | 2.1603687 | 2.6503088 | 3.0122758 | 3.3724679 | 3.8519824 | 4.2208317 | 4.5974615 | 5.1105789 |
14 | 1.3450304 | 1.7613101 | 2.1447867 | 2.6244941 | 2.9768427 | 3.3256958 | 3.7873902 | 4.1404541 | 4.4991551 | 4.9850132 |
15 | 1.3406056 | 1.7530504 | 2.1314495 | 2.6024803 | 2.9467129 | 3.2860386 | 3.7328344 | 4.0727652 | 4.4166128 | 4.8799983 |
16 | 1.3367572 | 1.7458837 | 2.1199053 | 2.5834872 | 2.9207816 | 3.2519929 | 3.6861548 | 4.0149963 | 4.3463486 | 4.7909101 |
17 | 1.3333794 | 1.7396067 | 2.1098156 | 2.5669340 | 2.8982305 | 3.2224499 | 3.6457674 | 3.9651263 | 4.2858283 | 4.7144065 |
18 | 1.3303909 | 1.7340636 | 2.1009220 | 2.5523796 | 2.8784405 | 3.1965742 | 3.6104849 | 3.9216458 | 4.2331673 | 4.6480142 |
19 | 1.3277282 | 1.7291328 | 2.0930241 | 2.5394832 | 2.8609346 | 3.1737245 | 3.5794001 | 3.8834059 | 4.1869353 | 4.5898646 |
20 | 1.3253407 | 1.7247182 | 2.0859634 | 2.5279770 | 2.8453397 | 3.1534005 | 3.5518083 | 3.8495163 | 4.1460278 | 4.5385209 |
21 | 1.3231879 | 1.7207429 | 2.0796138 | 2.5176480 | 2.8313596 | 3.1352062 | 3.5271537 | 3.8192772 | 4.1095789 | 4.4928601 |
22 | 1.3212367 | 1.7171444 | 2.0738731 | 2.5083246 | 2.8187561 | 3.1188242 | 3.5049920 | 3.7921307 | 4.0769001 | 4.4519927 |
23 | 1.3194602 | 1.7138715 | 2.0686576 | 2.4998667 | 2.8073357 | 3.1039970 | 3.4849644 | 3.7676268 | 4.0474371 | 4.4152047 |
24 | 1.3178359 | 1.7108821 | 2.0638986 | 2.4921595 | 2.7969395 | 3.0905135 | 3.4667773 | 3.7453986 | 4.0207390 | 4.3819168 |
25 | 1.3163451 | 1.7081408 | 2.0595386 | 2.4851072 | 2.7874358 | 3.0781995 | 3.4501887 | 3.7251439 | 3.9964353 | 4.3516539 |
26 | 1.3149719 | 1.7056179 | 2.0555294 | 2.4786298 | 2.7787145 | 3.0669091 | 3.4349972 | 3.7066117 | 3.9742185 | 4.3240230 |
27 | 1.3137029 | 1.7032884 | 2.0518305 | 2.4726599 | 2.7706830 | 3.0565201 | 3.4210336 | 3.6895917 | 3.9538317 | 4.2986963 |
28 | 1.3125268 | 1.7011309 | 2.0484071 | 2.4671401 | 2.7632625 | 3.0469288 | 3.4081552 | 3.6739064 | 3.9350581 | 4.2753979 |
29 | 1.3114336 | 1.6991270 | 2.0452296 | 2.4620214 | 2.7563859 | 3.0380467 | 3.3962403 | 3.6594050 | 3.9177141 | 4.2538941 |
30 | 1.3104150 | 1.6972609 | 2.0422725 | 2.4572615 | 2.7499957 | 3.0297982 | 3.3851849 | 3.6459586 | 3.9016427 | 4.2339860 |
31 | 1.3094635 | 1.6955188 | 2.0395134 | 2.4528242 | 2.7440419 | 3.0221178 | 3.3748993 | 3.6334563 | 3.8867090 | 4.2155026 |
32 | 1.3085728 | 1.6938887 | 2.0369333 | 2.4486776 | 2.7384815 | 3.0149489 | 3.3653059 | 3.6218023 | 3.8727966 | 4.1982967 |
33 | 1.3077371 | 1.6923603 | 2.0345153 | 2.4447942 | 2.7332766 | 3.0082420 | 3.3563373 | 3.6109130 | 3.8598044 | 4.1822405 |
34 | 1.3069516 | 1.6909243 | 2.0322445 | 2.4411496 | 2.7283944 | 3.0019539 | 3.3479343 | 3.6007158 | 3.8476442 | 4.1672229 |
35 | 1.3062118 | 1.6895725 | 2.0301079 | 2.4377225 | 2.7238056 | 2.9960466 | 3.3400452 | 3.5911468 | 3.8362386 | 4.1531463 |
36 | 1.3055139 | 1.6882977 | 2.0280940 | 2.4344941 | 2.7194846 | 2.9904866 | 3.3326243 | 3.5821497 | 3.8255196 | 4.1399252 |
37 | 1.3048544 | 1.6870936 | 2.0261925 | 2.4314474 | 2.7154087 | 2.9852441 | 3.3256310 | 3.5736748 | 3.8154272 | 4.1274840 |
38 | 1.3042302 | 1.6859545 | 2.0243942 | 2.4285676 | 2.7115576 | 2.9802926 | 3.3190297 | 3.5656781 | 3.8059080 | 4.1157559 |
39 | 1.3036386 | 1.6848751 | 2.0226909 | 2.4258414 | 2.7079132 | 2.9756088 | 3.3127881 | 3.5581201 | 3.7969146 | 4.1046813 |
40 | 1.3030771 | 1.6838510 | 2.0210754 | 2.4232568 | 2.7044593 | 2.9711713 | 3.3068777 | 3.5509658 | 3.7884046 | 4.0942071 |
41 | 1.3025434 | 1.6828780 | 2.0195410 | 2.4208030 | 2.7011813 | 2.9669613 | 3.3012729 | 3.5441836 | 3.7803402 | 4.0842859 |
42 | 1.3020355 | 1.6819524 | 2.0180817 | 2.4184704 | 2.6980662 | 2.9629618 | 3.2959505 | 3.5377454 | 3.7726873 | 4.0748752 |
43 | 1.3015516 | 1.6810707 | 2.0166922 | 2.4162501 | 2.6951021 | 2.9591573 | 3.2908898 | 3.5316257 | 3.7654152 | 4.0659364 |
44 | 1.3010901 | 1.6802300 | 2.0153676 | 2.4141344 | 2.6922783 | 2.9555340 | 3.2860719 | 3.5258013 | 3.7584962 | 4.0574352 |
45 | 1.3006493 | 1.6794274 | 2.0141034 | 2.4121159 | 2.6895850 | 2.9520791 | 3.2814798 | 3.5202515 | 3.7519052 | 4.0493400 |
46 | 1.3002280 | 1.6786604 | 2.0128956 | 2.4101881 | 2.6870135 | 2.9487813 | 3.2770980 | 3.5149572 | 3.7456195 | 4.0416226 |
47 | 1.2998249 | 1.6779267 | 2.0117405 | 2.4083451 | 2.6845556 | 2.9456301 | 3.2729124 | 3.5099013 | 3.7396183 | 4.0342572 |
48 | 1.2994389 | 1.6772242 | 2.0106348 | 2.4065813 | 2.6822040 | 2.9426158 | 3.2689100 | 3.5050680 | 3.7338828 | 4.0272201 |
49 | 1.2990688 | 1.6765509 | 2.0095752 | 2.4048918 | 2.6799520 | 2.9397298 | 3.2650792 | 3.5004429 | 3.7283958 | 4.0204901 |
50 | 1.2987137 | 1.6759050 | 2.0085591 | 2.4032719 | 2.6777933 | 2.9369641 | 3.2614091 | 3.4960129 | 3.7231413 | 4.0140473 |
51 | 1.2983727 | 1.6752850 | 2.0075838 | 2.4017175 | 2.6757222 | 2.9343112 | 3.2578898 | 3.4917659 | 3.7181051 | 4.0078739 |
52 | 1.2980450 | 1.6746892 | 2.0066468 | 2.4002247 | 2.6737336 | 2.9317645 | 3.2545122 | 3.4876907 | 3.7132737 | 4.0019533 |
53 | 1.2977298 | 1.6741162 | 2.0057460 | 2.3987898 | 2.6718226 | 2.9293177 | 3.2512680 | 3.4837773 | 3.7086349 | 3.9962703 |
54 | 1.2974265 | 1.6735649 | 2.0048793 | 2.3974096 | 2.6699848 | 2.9269650 | 3.2481493 | 3.4800161 | 3.7041775 | 3.9908109 |
55 | 1.2971343 | 1.6730340 | 2.0040448 | 2.3960811 | 2.6682160 | 2.9247010 | 3.2451491 | 3.4763984 | 3.6998909 | 3.9855621 |
56 | 1.2968527 | 1.6725223 | 2.0032407 | 2.3948012 | 2.6665124 | 2.9225210 | 3.2422607 | 3.4729161 | 3.6957657 | 3.9805121 |
57 | 1.2965810 | 1.6720289 | 2.0024655 | 2.3935675 | 2.6648705 | 2.9204202 | 3.2394780 | 3.4695619 | 3.6917928 | 3.9756497 |
58 | 1.2963189 | 1.6715528 | 2.0017175 | 2.3923775 | 2.6632870 | 2.9183945 | 3.2367953 | 3.4663288 | 3.6879639 | 3.9709647 |
59 | 1.2960657 | 1.6710930 | 2.0009954 | 2.3912288 | 2.6617588 | 2.9164398 | 3.2342073 | 3.4632103 | 3.6842715 | 3.9664475 |
60 | 1.2958211 | 1.6706489 | 2.0002978 | 2.3901195 | 2.6602830 | 2.9145526 | 3.2317091 | 3.4602005 | 3.6807082 | 3.9620894 |
61 | 1.2955846 | 1.6702195 | 1.9996236 | 2.3890474 | 2.6588571 | 2.9127293 | 3.2292961 | 3.4572937 | 3.6772675 | 3.9578820 |
62 | 1.2953558 | 1.6698042 | 1.9989715 | 2.3880108 | 2.6574786 | 2.9109669 | 3.2269640 | 3.4544848 | 3.6739432 | 3.9538176 |
63 | 1.2951343 | 1.6694022 | 1.9983405 | 2.3870079 | 2.6561450 | 2.9092622 | 3.2247087 | 3.4517689 | 3.6707294 | 3.9498892 |
64 | 1.2949198 | 1.6690130 | 1.9977297 | 2.3860370 | 2.6548543 | 2.9076126 | 3.2225267 | 3.4491415 | 3.6676207 | 3.9460900 |
65 | 1.2947120 | 1.6686360 | 1.9971379 | 2.3850968 | 2.6536045 | 2.9060153 | 3.2204143 | 3.4465984 | 3.6646121 | 3.9424137 |
66 | 1.2945106 | 1.6682705 | 1.9965644 | 2.3841857 | 2.6523935 | 2.9044679 | 3.2183682 | 3.4441354 | 3.6616988 | 3.9388545 |
67 | 1.2943152 | 1.6679161 | 1.9960084 | 2.3833025 | 2.6512197 | 2.9029682 | 3.2163855 | 3.4417489 | 3.6588763 | 3.9354069 |
68 | 1.2941256 | 1.6675723 | 1.9954689 | 2.3824458 | 2.6500813 | 2.9015140 | 3.2144632 | 3.4394355 | 3.6561404 | 3.9320656 |
69 | 1.2939416 | 1.6672385 | 1.9949454 | 2.3816145 | 2.6489768 | 2.9001031 | 3.2125986 | 3.4371917 | 3.6534874 | 3.9288259 |
70 | 1.2937629 | 1.6669145 | 1.9944371 | 2.3808075 | 2.6479046 | 2.8987338 | 3.2107891 | 3.4350145 | 3.6509133 | 3.9256832 |
71 | 1.2935893 | 1.6665997 | 1.9939434 | 2.3800237 | 2.6468634 | 2.8974041 | 3.2090323 | 3.4329010 | 3.6484148 | 3.9226333 |
72 | 1.2934205 | 1.6662937 | 1.9934636 | 2.3792621 | 2.6458519 | 2.8961125 | 3.2073260 | 3.4308484 | 3.6459886 | 3.9196719 |
73 | 1.2932564 | 1.6659962 | 1.9929971 | 2.3785219 | 2.6448688 | 2.8948573 | 3.2056679 | 3.4288542 | 3.6436316 | 3.9167955 |
74 | 1.2930968 | 1.6657069 | 1.9925435 | 2.3778020 | 2.6439129 | 2.8936369 | 3.2040562 | 3.4269158 | 3.6413408 | 3.9140003 |
75 | 1.2929415 | 1.6654254 | 1.9921022 | 2.3771018 | 2.6429831 | 2.8924500 | 3.2024888 | 3.4250309 | 3.6391136 | 3.9112830 |
76 | 1.2927903 | 1.6651514 | 1.9916726 | 2.3764204 | 2.6420783 | 2.8912952 | 3.2009641 | 3.4231975 | 3.6369473 | 3.9086403 |
77 | 1.2926430 | 1.6648845 | 1.9912544 | 2.3757570 | 2.6411976 | 2.8901711 | 3.1994801 | 3.4214133 | 3.6348394 | 3.9060693 |
78 | 1.2924996 | 1.6646246 | 1.9908471 | 2.3751110 | 2.6403400 | 2.8890767 | 3.1980354 | 3.4196765 | 3.6327877 | 3.9035670 |
79 | 1.2923598 | 1.6643714 | 1.9904502 | 2.3744816 | 2.6395046 | 2.8880107 | 3.1966284 | 3.4179851 | 3.6307898 | 3.9011307 |
80 | 1.2922236 | 1.6641246 | 1.9900634 | 2.3738683 | 2.6386906 | 2.8869721 | 3.1952577 | 3.4163375 | 3.6288438 | 3.8987580 |
81 | 1.2920907 | 1.6638839 | 1.9896863 | 2.3732704 | 2.6378971 | 2.8859597 | 3.1939218 | 3.4147319 | 3.6269476 | 3.8964462 |
82 | 1.2919611 | 1.6636492 | 1.9893186 | 2.3726873 | 2.6371234 | 2.8849727 | 3.1926195 | 3.4131667 | 3.6250993 | 3.8941931 |
83 | 1.2918347 | 1.6634202 | 1.9889598 | 2.3721186 | 2.6363688 | 2.8840100 | 3.1913494 | 3.4116405 | 3.6232971 | 3.8919965 |
84 | 1.2917113 | 1.6631967 | 1.9886097 | 2.3715637 | 2.6356325 | 2.8830708 | 3.1901105 | 3.4101518 | 3.6215394 | 3.8898543 |
85 | 1.2915908 | 1.6629785 | 1.9882679 | 2.3710220 | 2.6349139 | 2.8821543 | 3.1889016 | 3.4086993 | 3.6198245 | 3.8877644 |
86 | 1.2914732 | 1.6627654 | 1.9879342 | 2.3704932 | 2.6342123 | 2.8812596 | 3.1877216 | 3.4072816 | 3.6181509 | 3.8857251 |
87 | 1.2913582 | 1.6625573 | 1.9876083 | 2.3699768 | 2.6335272 | 2.8803859 | 3.1865694 | 3.4058975 | 3.6165170 | 3.8837344 |
88 | 1.2912459 | 1.6623540 | 1.9872899 | 2.3694723 | 2.6328580 | 2.8795326 | 3.1854442 | 3.4045458 | 3.6149216 | 3.8817908 |
89 | 1.2911362 | 1.6621553 | 1.9869787 | 2.3689793 | 2.6322042 | 2.8786989 | 3.1843450 | 3.4032255 | 3.6133632 | 3.8798924 |
90 | 1.2910289 | 1.6619611 | 1.9866745 | 2.3684975 | 2.6315652 | 2.8778842 | 3.1832708 | 3.4019353 | 3.6118405 | 3.8780378 |
91 | 1.2909240 | 1.6617712 | 1.9863772 | 2.3680264 | 2.6309405 | 2.8770878 | 3.1822209 | 3.4006744 | 3.6103525 | 3.8762254 |
92 | 1.2908214 | 1.6615854 | 1.9860863 | 2.3675658 | 2.6303296 | 2.8763090 | 3.1811944 | 3.3994416 | 3.6088978 | 3.8744539 |
93 | 1.2907210 | 1.6614037 | 1.9858018 | 2.3671152 | 2.6297321 | 2.8755474 | 3.1801906 | 3.3982362 | 3.6074754 | 3.8727218 |
94 | 1.2906227 | 1.6612259 | 1.9855234 | 2.3666744 | 2.6291476 | 2.8748024 | 3.1792086 | 3.3970571 | 3.6060843 | 3.8710279 |
95 | 1.2905265 | 1.6610518 | 1.9852510 | 2.3662430 | 2.6285757 | 2.8740734 | 3.1782479 | 3.3959036 | 3.6047233 | 3.8693710 |
96 | 1.2904324 | 1.6608814 | 1.9849843 | 2.3658207 | 2.6280158 | 2.8733599 | 3.1773077 | 3.3947747 | 3.6033916 | 3.8677497 |
97 | 1.2903402 | 1.6607146 | 1.9847232 | 2.3654073 | 2.6274678 | 2.8726614 | 3.1763874 | 3.3936698 | 3.6020882 | 3.8661630 |
98 | 1.2902499 | 1.6605512 | 1.9844675 | 2.3650024 | 2.6269311 | 2.8719775 | 3.1754863 | 3.3925881 | 3.6008122 | 3.8646099 |
99 | 1.2901614 | 1.6603912 | 1.9842170 | 2.3646059 | 2.6264055 | 2.8713077 | 3.1746038 | 3.3915288 | 3.5995627 | 3.8630891 |
100 | 1.2900748 | 1.6602343 | 1.9839715 | 2.3642174 | 2.6258905 | 2.8706515 | 3.1737395 | 3.3904913 | 3.5983390 | 3.8615998 |
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TXT Version: StudentT.txt |
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