The Short t Table: Critical Values of t PDF

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The Short t Table: Critical Values of t...

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The Short t Table: Critical Values of t For a particular number of degrees of freedom, each entry represents the critical value of t corresponding to a specified upper tail area α.

Degrees of Freedom 1 2 3 4 5 6 7 8 9 10

.25 1.0000 0.8165 0.7649 0.7407 0.7267 0.7176 0.7111 0.7064 0.7027 0.6998

.10 3.0777 1.8856 1.6377 1.5332 1.4759 1.4398 1.4149 1.3968 1.3830 1.3722

Upper Tail Areas .05 6.3138 2.9200 2.3534 2.1318 2.0150 1.9432 1.8946 1.8595 1.8331 1.8125

11 12 13 14 15 16 17 18 19 20

0.6974 0.6955 0.6938 0.6924 0.6912 0.6901 0.6892 0.6884 0.6876 0.6870

1.3634 1.3562 1.3502 1.3450 1.3406 1.3368 1.3334 1.3304 1.3277 1.3253

21 22 23 24 25 26 27 28 29 30

0.6864 0.6858 0.6853 0.6848 0.6844 0.6840 0.6837 0.6834 0.6830 0.6828

31 32 33 34 35 36 37 38 39 40

.025 12.7062 4.3027 3.1824 2.7764 2.5706 2.4469 2.3646 2.3060 2.2622 2.2281

.01 31.8207 6.9646 4.5407 3.7469 3.3649 3.1427 2.9980 2.8965 2.8214 2.7638

.005 63.6574 9.9248 5.8409 4.6041 4.0322 3.7074 3.4995 3.3554 3.2498 3.1693

1.7959 1. 7823 1.7709 1.7613 1.7531 1.7459 1.7396 1.7341 1.7291 1.7247

2.2010 2.1788 2.1604 2.1448 2.1315 2.1199 2.1098 2.1009 2.0930 2.0860

2.7181 2.6810 2.6503 2.6245 2.6025 2.5835 2.5669 2.5524 2.5395 2.5280

3.1058 3.0545 3.0123 2.9768 2.9467 2.9208 2.8982 2.8784 2.8609 2.8453

1.3232 1.3212 1.3195 1.3178 1.3163 1.3150 1.3137 1.3125 1.3114 1.3104

1.7207 1.7171 1.7139 1.7109 1.7081 1.7056 1.7033 1.7011 1.6991 1.6973

2.0796 2.0739 2.0687 2.0639 2.0595 2.0555 2.0518 2.0484 2.0452 2.0423

2.5177 2.5083 2.4999 2.4922 2.4851 2.4786 2.4727 2.4671 2.4620 2.4573

2.8314 2.8188 2.8073 2.7969 2.7874 2.7787 2.7707 2.7633 2.7564 2.7500

0.6825 0.6822 0.6820 0.6818 0.6816 0.6814 0.6812 0.6810 0.6808 0.6807

1.3095 1.3086 1.3077 1.3070 1.3062 1.3055 1.3049 1.3042 1.3036 1.3031

1.6955 1.6939 1.6924 1.6909 1.6896 1.6883 1.6871 1.6860 1.6849 1.6839

2.0395 2.0369 2.0345 2.0322 2.0301 2.0281 2.0262 2.0244 2.0227 2.0211

2.4528 2.4487 2.4448 2.4411 2.4377 2.4345 2.4314 2.4286 2.4258 2.4233

2.7440 2.1385 2.7333 2.7284 2.7238 2.7195 2.7154 2.7116 2.7079 2.7045

41 42 43 44 45

0.6805 0.6804 0.6802 0.6801 0.6800

1.3025 1.3020 1.3016 1.3011 1.3006

1.6829 1.6820 1.6811 1.6802 1.6794

2.0195 2.0181 2.0167 2.0154 2.0141

2.4208 2.4185 2.4163 2.4141 2.4121

2.7012 2.6981 2.6951 2.6923 2.6896

…

…

…

… 1.645

… 1.96

… 2.33

… 2.575

∞...