Table 2: Critical values Student $t$-distribution

$right$ $sided$ $p-value$

$$\begin{eqnarray*} df& |&0.250&0.100&0.050&0.025&0.010&0.005&0.001\\ \hline 1 &|&1.0000&3.0777&6.3138&12.7062&31.8205&63.6567&318.3088\\ 2 &|&0.8165&1.8856&2.9200& 4.3027& 6.9646& 9.9248&22.3271\\ 3 &|&0.7649&1.6377&2.3534& 3.1824& 4.5407& 5.8409&10.2145\\ 4 &|&0.7407&1.5332&2.1318& 2.7764& 3.7469& 4.6041& 7.1732\\ 5 &|&0.7267&1.4759&2.0150& 2.5706& 3.3649& 4.0321& 5.8934\\ 6 &|&0.7176&1.4398&1.9432& 2.4469& 3.1427& 3.7074& 5.2076\\ 7 &|&0.7111&1.4149&1.8946& 2.3646& 2.9980& 3.4995& 4.7853\\ 8 &|&0.7064&1.3968&1.8595& 2.3060& 2.8965& 3.3554& 4.5008\\ 9 &|&0.7027&1.3830&1.8331& 2.2622& 2.8214& 3.2498& 4.2968\\ 10 &|&0.6998&1.3722&1.8125& 2.2281& 2.7638& 3.1693& 4.1437\\ 11 &|&0.6974&1.3634&1.7959& 2.2010& 2.7181& 3.1058& 4.0247\\ 12 &|&0.6955&1.3562&1.7823& 2.1788& 2.6810& 3.0545& 3.9296\\ 13 &|&0.6938&1.3502&1.7709& 2.1604& 2.6503& 3.0123& 3.8520\\ 14 &|&0.6924&1.3450&1.7613& 2.1448& 2.6245& 2.9768& 3.7874\\ 15 &|&0.6912&1.3406&1.7531& 2.1314& 2.6025& 2.9467& 3.7328\\ 16 &|&0.6901&1.3368&1.7459& 2.1199& 2.5835& 2.9208& 3.6862\\ 17 &|&0.6892&1.3334&1.7396& 2.1098& 2.5669& 2.8982& 3.6458\\ 18 &|&0.6884&1.3304&1.7341& 2.1009& 2.5524& 2.8784& 3.6105\\ 19 &|&0.6876&1.3277&1.7291& 2.0930& 2.5395& 2.8609& 3.5794\\ 20 &|&0.6870&1.3253&1.7247& 2.0860& 2.5280& 2.8453& 3.5518\\ 21 &|&0.6864&1.3232&1.7207& 2.0796& 2.5176& 2.8314& 3.5272\\ 22 &|&0.6858&1.3212&1.7171& 2.0739& 2.5083& 2.8188& 3.5050\\ 23 &|&0.6853&1.3195&1.7139& 2.0687& 2.4999& 2.8073& 3.4850\\ 24 &|&0.6848&1.3178&1.7109& 2.0639& 2.4922& 2.7969& 3.4668\\ 25 &|&0.6844&1.3163&1.7081& 2.0595& 2.4851& 2.7874& 3.4502\\ 26 &|&0.6840&1.3150&1.7056& 2.0555& 2.4786& 2.7787& 3.4350\\ 27 &|&0.6837&1.3137&1.7033& 2.0518& 2.4727& 2.7707& 3.4210\\ 28 &|&0.6834&1.3125&1.7011& 2.0484& 2.4671& 2.7633& 3.4082\\ 29 &|&0.6830&1.3114&1.6991& 2.0452& 2.4620& 2.7564& 3.3962\\ 30 &|&0.6828&1.3104&1.6973& 2.0423& 2.4573& 2.7500& 3.3852\\ 40 &|&0.6807&1.3031&1.6839& 2.0211& 2.4233& 2.7045& 3.3069\\ 50 &|&0.6794&1.2987&1.6759& 2.0086& 2.4033& 2.6778& 3.2614\\ 60 &|&0.6786&1.2958&1.6706& 2.0003& 2.3901& 2.6603& 3.2317\\ 80 &|&0.6776&1.2922&1.6641& 1.9901& 2.3739& 2.6387& 3.1953\\ 100&|&0.6770&1.2901&1.6602& 1.9840& 2.3642& 2.6259& 3.1737\\ \infty &|&0.6745&1.2816&1.6449& 1.9600& 2.3263& 2.5758& 3.0902 \end{eqnarray*}$$