
6.25 Table of the Student’s t-distribution
You must use the t-distribution table when working problems when the population
standard deviation (σ) is n ot known and the sample size is small (n , 30).
α
;
t
αν
The table gives the values of t
α;ν
, where
Pr(T
ν
. t
α;ν
) 5 α with ν degrees of freedom
v α
0.1 0.05 0.025 0.01 0.005 0.001 0.0005
1 3.078 6.314 12.076 31.821 63.657 318.310 636.620
2 1.886 2.920 4.303 6.965 9.925 22.326 31.598
3 1.638 2.353 3.182 4.541 5.841 10.213 12.924
4 1.533 2.132 2.776 3.747 4.604 7.173 8.610
5 1.476 2.015 2.571 3.365 4.032 5.893 6.869
6 1.440 1.943 2.447 3.143 3.707 5.208 5.959
7 1.415 1.895 2.365 2.998 3.499 4.785 5.408
8 1.397 1.860 ...