t distribution table

The t distribution table values are critical values of the t distribution. The column header are the t distribution probabilities (alpha). The row names are the degrees of freedom (df).

Student t table gives the probability that the absolute t value with a given degrees of freedom lies above the tabulated value.

Example : with df = 10, for t=2.228, the probability is alpha=0.05

df/α	0.9	0.5	0.3	0.2	0.1	0.05	0.02	0.01	0.001

1	0.158	1	2	3.078	6.314	12.706	31.821	64	637
2	0.142	0.816	1.386	1.886	2.92	4.303	6.965	10	31.598
3	0.137	0.765	1.25	1.638	2.353	3.182	4.541	5.841	12.929
4	0.134	0.741	1.19	1.533	2.132	2.776	3.747	4.604	8.61
5	0.132	0.727	1.156	1.476	2.015	2.571	3.365	4.032	6.869

6	0.131	0.718	1.134	1.44	1.943	2.447	3.143	3.707	5.959
7	0.13	0.711	1.119	1.415	1.895	2.365	2.998	3.499	5.408
8	0.13	0.706	1.108	1.397	1.86	2.306	2.896	3.355	5.041
9	0.129	0.703	1.1	1.383	1.833	2.263	2.821	3.25	4.781
10	0.129	0.7	1.093	1.372	1.812	2.228	2.764	3.169	4.587

11	0.129	0.697	1.088	1.363	1.796	2.201	2.718	3.106	4.437
12	0.128	0.695	1.083	1.356	1.782	2.179	2.681	3.055	4.318
13	0.128	0.694	1.079	1.35	1.771	2.16	2.65	3.012	4.221
14	0.128	0.692	1.076	1.345	1.761	2.145	2.624	2.977	4.14
15	0.128	0.691	1.074	1.341	1.753	2.131	2.602	2.947	4.073

16	0.128	0.69	1.071	1.337	1.746	2.12	2.583	2.921	4.015
17	0.128	0.689	1.069	1.333	1.74	2.11	2.567	2.898	3.965
18	0.127	0.688	1.067	1.33	1.734	2.101	2.552	2.878	3.922
19	0.127	688	1.066	1.328	1.729	2.093	2.539	2.861	3.883
20	0.127	0.687	1.064	1.325	1.725	2.086	2.528	2.845	3.85

21	0.127	0.686	1.063	1.323	1.721	2.08	2.518	2.831	3.819
22	0.127	0.686	1.061	1.321	1.717	2.074	2.508	2.819	3.792
23	0.127	0.685	1.06	1.319	1.714	2.069	2.5	2.807	3.767
24	0.127	0.685	1.059	1.318	1.711	2.064	2.492	2.797	3.745
25	0.127	0.684	1.058	1.316	1.708	2.06	2.485	2.787	3.725

26	0.127	0.684	1.058	1.315	1.706	2.056	2.479	2.779	3.707
27	0.137	0.684	1.057	1.314	1.703	2.052	2.473	2.771	3.69
28	0.127	0.683	1.056	1.313	1.701	2.048	2.467	2.763	3.674
29	0.127	0.683	1.055	1.311	1.699	2.045	2.462	2.756	3.649
30	0.127	0.683	1.055	1.31	1.697	2.042	2.457	2.75	3.656

40	0.126	0.681	1.05	1.303	1.684	2.021	2.423	2.704	3.551
80	0.126	0.679	1.046	1.296	1.671	2	2.39	2.66	3.46
120	0.126	0.677	1.041	1.289	1.658	1.98	2.358	2.617	3.373
Infini	0.126	0.674	1.036	1.282	1.645	1.96	2.326	2.576	3.291

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