Critical Values of t
(1-tailed probabilities)
| |
Upper tail probability p
|
| df |
.100 |
.050 |
.025 |
.010 |
.005 |
| 1 |
3.0777 |
6.3138 |
12.7062 |
31.8207 |
63.6574 |
| 2 |
1.8856 |
2.9200 |
4.3027 |
6.9646 |
9.9248 |
| 3 |
1.6377 |
2.3534 |
3.1824 |
4.5407 |
5.8409 |
| 4 |
1.5332 |
2.1318 |
2.7764 |
3.7469 |
4.6041 |
| 5 |
1.4759 |
2.0150 |
2.5706 |
3.3649 |
4.0322 |
| 6 |
1.4398 |
1.9432 |
2.4469 |
3.1427 |
3.7074 |
| 7 |
1.4149 |
1.8946 |
2.3646 |
2.9980 |
3.4995 |
| 8 |
1.3968 |
1.8595 |
2.3060 |
2.8965 |
3.3554 |
| 9 |
1.3830 |
1.8331 |
2.2622 |
2.8214 |
3.2498 |
| 10 |
1.3722 |
1.8125 |
2.2281 |
2.7638 |
3.1693 |
| 11 |
1.3634 |
1.7959 |
2.2010 |
2.7181 |
3.1058 |
| 12 |
1.3562 |
1.7823 |
2.1788 |
2.6810 |
3.0545 |
| 13 |
1.3502 |
1.7709 |
2.1604 |
2.6503 |
3.0123 |
| 14 |
1.3450 |
1.7613 |
2.1448 |
2.6245 |
2.9768 |
| 15 |
1.3406 |
1.7531 |
2.1315 |
2.6025 |
2.9467 |
| 16 |
1.3368 |
1.7459 |
2.1199 |
2.5835 |
2.9208 |
| 17 |
1.3334 |
1.7396 |
2.1098 |
2.5669 |
2.8982 |
| 18 |
1.3304 |
1.7341 |
2.1009 |
2.5524 |
2.8784 |
| 19 |
1.3277 |
1.7291 |
2.0930 |
2.5395 |
2.8609 |
| 20 |
1.3253 |
1.7247 |
2.0860 |
2.5280 |
2.8453 |
| 21 |
1.3232 |
1.7207 |
2.0796 |
2.5177 |
2.8314 |
| 22 |
1.3212 |
1.7171 |
2.0739 |
2.5083 |
2.8188 |
| 23 |
1.3195 |
1.7139 |
2.0687 |
2.4999 |
2.8073 |
| 24 |
1.3178 |
1.7109 |
2.0639 |
2.4922 |
2.7969 |
| 25 |
1.3163 |
1.7081 |
2.0595 |
2.4851 |
2.7874 |
| 26 |
1.3150 |
1.7056 |
2.0555 |
2.4786 |
2.7787 |
| 27 |
1.3137 |
1.7033 |
2.0518 |
2.4727 |
2.7707 |
| 28 |
1.3125 |
1.7011 |
2.0484 |
2.4671 |
2.7633 |
| 29 |
1.3114 |
1.6991 |
2.0452 |
2.4620 |
2.7564 |
| 30 |
1.3104 |
1.6973 |
2.0423 |
2.4573 |
2.7500 |
| 31 |
1.3095 |
1.6955 |
2.0395 |
2.4528 |
2.7740 |
| 32 |
1.3086 |
1.6939 |
2.0369 |
2.4487 |
2.7385 |
| 33 |
1.3077 |
1.6924 |
2.0345 |
2.4448 |
2.7333 |
| 34 |
1.3070 |
1.6909 |
2.0322 |
2.4411 |
2.7284 |
| 35 |
1.3062 |
1.6896 |
2.0301 |
2.4377 |
2.7238 |
| 36 |
1.3055 |
1.6883 |
2.0281 |
2.4345 |
2.7195 |
| 37 |
1.3049 |
1.6871 |
2.0262 |
2.4314 |
2.7154 |
| 38 |
1.3042 |
1.6860 |
2.0244 |
2.4286 |
2.7116 |
| 39 |
1.3036 |
1.6849 |
2.0227 |
2.4258 |
2.7079 |
| 40 |
1.3031 |
1.6839 |
2.0211 |
2.4233 |
2.7045 |
| 41 |
1.3025 |
1.6829 |
2.0195 |
2.4208 |
2.7012 |
| 42 |
1.3020 |
1.6820 |
2.0181 |
2.4185 |
2.6981 |
| 43 |
1.3016 |
1.6811 |
2.0167 |
2.4163 |
2.6951 |
| 44 |
1.3011 |
1.6802 |
2.0154 |
2.4141 |
2.6923 |
| 45 |
1.3006 |
1.6794 |
2.0141 |
2.4121 |
2.6896 |
| 46 |
1.3022 |
1.6787 |
2.0129 |
2.4102 |
2.6870 |
| 47 |
1.2998 |
1.6779 |
2.0117 |
2.4083 |
2.6846 |
| 48 |
1.2994 |
1.6772 |
2.0106 |
2.4066 |
2.6822 |
| 49 |
1.2991 |
1.6766 |
2.0096 |
2.4049 |
2.6800 |
| 50 |
1.2987 |
1.6759 |
2.0086 |
2.4033 |
2.6778 |
| 51 |
1.2984 |
1.6753 |
2.0076 |
2.4017 |
2.6757 |
| 52 |
1.2980 |
1.6747 |
2.0066 |
2.4002 |
2.6737 |
| 53 |
1.2977 |
1.6741 |
2.0057 |
2.3988 |
2.6718 |
| 54 |
1.2974 |
1.6736 |
2.0049 |
2.3974 |
2.6700 |
| 55 |
1.2971 |
1.6730 |
2.0040 |
2.3961 |
2.6682 |
| 56 |
1.2969 |
1.6725 |
2.0032 |
2.3948 |
2.6665 |
| 57 |
1.2966 |
1.6720 |
2.0025 |
2.3936 |
2.6649 |
| 58 |
1.2963 |
1.6716 |
2.0017 |
2.3924 |
2.6633 |
| 59 |
1.2961 |
1.6711 |
2.0010 |
2.3912 |
2.6618 |
| 60 |
1.2958 |
1.6706 |
2.0003 |
2.3901 |
2.6603 |
| 61 |
1.2956 |
1.6702 |
1.9996 |
2.3890 |
2.6589 |
| 62 |
1.2954 |
1.6698 |
1.9990 |
2.3880 |
2.6575 |
| 63 |
1.2951 |
1.6694 |
1.9983 |
2.3870 |
2.6561 |
| 64 |
1.2949 |
1.6690 |
1.9977 |
2.3860 |
2.6549 |
| 65 |
1.2947 |
1.6686 |
1.9971 |
2.3851 |
2.6536 |
| 66 |
1.2945 |
1.6683 |
1.9966 |
2.3842 |
2.6524 |
| 67 |
1.2943 |
1.6679 |
1.9960 |
2.3833 |
2.6512 |
| 68 |
1.2941 |
1.6676 |
1.9955 |
2.3824 |
2.6501 |
| 69 |
1.2939 |
1.6672 |
1.9949 |
2.3816 |
2.6490 |
| 70 |
1.2938 |
1.6669 |
1.9944 |
2.3808 |
2.6479 |
| 71 |
1.2936 |
1.6666 |
1.9939 |
2.3800 |
2.6469 |
| 72 |
1.2934 |
1.6663 |
1.9935 |
2.3793 |
2.6459 |
| 73 |
1.2933 |
1.6660 |
1.9930 |
2.3785 |
2.6449 |
| 74 |
1.2931 |
1.6657 |
1.9925 |
2.3778 |
2.6439 |
| 75 |
1.2929 |
1.6654 |
1.9921 |
2.3771 |
2.6430 |
| 76 |
1.2928 |
1.6652 |
1.9917 |
2.3764 |
2.6421 |
| 77 |
1.2926 |
1.6649 |
1.9913 |
2.3758 |
2.6412 |
| 78 |
1.2925 |
1.6646 |
1.9908 |
2.3751 |
2.6403 |
| 79 |
1.2924 |
1.6644 |
1.9905 |
2.3745 |
2.6395 |
| 80 |
1.2922 |
1.6641 |
1.9901 |
2.3739 |
2.6387 |
| 81 |
1.2921 |
1.6639 |
1.9897 |
2.3733 |
2.6379 |
| 82 |
1.2920 |
1.6636 |
1.9893 |
2.3727 |
2.6371 |
| 83 |
1.2918 |
1.6634 |
1.9890 |
2.3721 |
2.6364 |
| 84 |
1.2917 |
1.6632 |
1.9886 |
2.3716 |
2.6356 |
| 85 |
1.2916 |
1.6630 |
1.9883 |
2.3710 |
2.6349 |
| 86 |
1.2915 |
1.6628 |
1.9879 |
2.3705 |
2.6342 |
| 87 |
1.2914 |
1.6626 |
1.9876 |
2.3700 |
2.6335 |
| 88 |
1.2912 |
1.6624 |
1.9873 |
2.3695 |
2.6329 |
| 89 |
1.2911 |
1.6622 |
1.9870 |
2.3690 |
2.6322 |
| 90 |
1.2910 |
1.6620 |
1.9867 |
2.3685 |
2.6316 |
| 91 |
1.2909 |
1.6618 |
1.9864 |
2.3680 |
2.6309 |
| 92 |
1.2908 |
1.6616 |
1.9861 |
2.3676 |
2.6303 |
| 93 |
1.2907 |
1.6614 |
1.9858 |
2.3671 |
2.6297 |
| 94 |
1.2906 |
1.6612 |
1.9855 |
2.3667 |
2.6291 |
| 95 |
1.2905 |
1.6611 |
1.9853 |
2.3662 |
2.6286 |
| 96 |
1.2904 |
1.6609 |
1.9850 |
2.3658 |
2.6280 |
| 97 |
1.2903 |
1.6607 |
1.9847 |
2.3654 |
2.6275 |
| 98 |
1.2902 |
1.6606 |
1.9845 |
2.3650 |
2.6269 |
| 99 |
1.2902 |
1.6604 |
1.9842 |
2.3646 |
2.6264 |
| 100 |
1.2901 |
1.6602 |
1.9840 |
2.3642 |
2.6259 |
| |
80% |
90% |
95% |
98% |
99% |
| |
Confidence level C
|