tabella normale e TStudent (Statistica), Formule e Formulari di Statistica. Università degli Studi di Firenze
AlvaroVizuete
AlvaroVizuete

tabella normale e TStudent (Statistica), Formule e Formulari di Statistica. Università degli Studi di Firenze

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Funzione di ripartizione Φ(z) = Pr(Z ≤ z) della variabile aleatoria Normale Standard z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09

0.0 0.50000 0.50399 0.50798 0.51197 0.51595 0.51994 0.52392 0.52790 0.53188 0.53586 0.1 0.53983 0.54380 0.54776 0.55172 0.55567 0.55962 0.56356 0.56749 0.57142 0.57535 0.2 0.57926 0.58317 0.58706 0.59095 0.59483 0.59871 0.60257 0.60642 0.61026 0.61409 0.3 0.61791 0.62172 0.62552 0.62930 0.63307 0.63683 0.64058 0.64431 0.64803 0.65173 0.4 0.65542 0.65910 0.66276 0.66640 0.67003 0.67364 0.67724 0.68082 0.68439 0.68793 0.5 0.69146 0.69497 0.69847 0.70194 0.70540 0.70884 0.71226 0.71566 0.71904 0.72240

0.6 0.72575 0.72907 0.73237 0.73565 0.73891 0.74215 0.74537 0.74857 0.75175 0.75490 0.7 0.75804 0.76115 0.76424 0.76730 0.77035 0.77337 0.77637 0.77935 0.78230 0.78524 0.8 0.78814 0.79103 0.79389 0.79673 0.79955 0.80234 0.80511 0.80785 0.81057 0.81327 0.9 0.81594 0.81859 0.82121 0.82381 0.82639 0.82894 0.83147 0.83398 0.83646 0.83891 1.0 0.84134 0.84375 0.84614 0.84849 0.85083 0.85314 0.85543 0.85769 0.85993 0.86214

1.1 0.86433 0.86650 0.86864 0.87076 0.87286 0.87493 0.87698 0.87900 0.88100 0.88298 1.2 0.88493 0.88686 0.88877 0.89065 0.89251 0.89435 0.89617 0.89796 0.89973 0.90147 1.3 0.90320 0.90490 0.90658 0.90824 0.90988 0.91149 0.91309 0.91466 0.91621 0.91774 1.4 0.91924 0.92073 0.92220 0.92364 0.92507 0.92647 0.92785 0.92922 0.93056 0.93189 1.5 0.93319 0.93448 0.93574 0.93699 0.93822 0.93943 0.94062 0.94179 0.94295 0.94408

1.6 0.94520 0.94630 0.94738 0.94845 0.94950 0.95053 0.95154 0.95254 0.95352 0.95449 1.7 0.95543 0.95637 0.95728 0.95818 0.95907 0.95994 0.96080 0.96164 0.96246 0.96327 1.8 0.96407 0.96485 0.96562 0.96638 0.96712 0.96784 0.96856 0.96926 0.96995 0.97062 1.9 0.97128 0.97193 0.97257 0.97320 0.97381 0.97441 0.97500 0.97558 0.97615 0.97670

2.0 0.97725 0.97778 0.97831 0.97882 0.97932 0.97982 0.98030 0.98077 0.98124 0.98169 2.1 0.98214 0.98257 0.98300 0.98341 0.98382 0.98422 0.98461 0.98500 0.98537 0.98574 2.2 0.98610 0.98645 0.98679 0.98713 0.98745 0.98778 0.98809 0.98840 0.98870 0.98899 2.3 0.98928 0.98956 0.98983 0.99010 0.99036 0.99061 0.99086 0.99111 0.99134 0.99158 2.4 0.99180 0.99202 0.99224 0.99245 0.99266 0.99286 0.99305 0.99324 0.99343 0.99361 2.5 0.99379 0.99396 0.99413 0.99430 0.99446 0.99461 0.99477 0.99492 0.99506 0.99520

2.6 0.99534 0.99547 0.99560 0.99573 0.99585 0.99598 0.99609 0.99621 0.99632 0.99643 2.7 0.99653 0.99664 0.99674 0.99683 0.99693 0.99702 0.99711 0.99720 0.99728 0.99736 2.8 0.99744 0.99752 0.99760 0.99767 0.99774 0.99781 0.99788 0.99795 0.99801 0.99807 2.9 0.99813 0.99819 0.99825 0.99831 0.99836 0.99841 0.99846 0.99851 0.99856 0.99861 3.0 0.99865 0.99869 0.99874 0.99878 0.99882 0.99886 0.99889 0.99893 0.99896 0.99900

3.1 0.99903 0.99906 0.99910 0.99913 0.99916 0.99918 0.99921 0.99924 0.99926 0.99929 3.2 0.99931 0.99934 0.99936 0.99938 0.99940 0.99942 0.99944 0.99946 0.99948 0.99950 3.3 0.99952 0.99953 0.99955 0.99957 0.99958 0.99960 0.99961 0.99962 0.99964 0.99965 3.4 0.99966 0.99968 0.99969 0.99970 0.99971 0.99972 0.99973 0.99974 0.99975 0.99976 3.5 0.99977 0.99978 0.99978 0.99979 0.99980 0.99981 0.99981 0.99982 0.99983 0.99983

3.6 0.99984 0.99985 0.99985 0.99986 0.99986 0.99987 0.99987 0.99988 0.99988 0.99989 3.7 0.99989 0.99990 0.99990 0.99990 0.99991 0.99991 0.99992 0.99992 0.99992 0.99992 3.8 0.99993 0.99993 0.99993 0.99994 0.99994 0.99994 0.99994 0.99995 0.99995 0.99995 3.9 0.99995 0.99995 0.99996 0.99996 0.99996 0.99996 0.99996 0.99996 0.99997 0.99997

α 0.5 0.25 0.1 0.05 0.025 0.01 0.005 0.001 0.0005 zα 0.00000 0.67449 1.28155 1.64485 1.95996 2.32635 2.57583 3.09023 3.29053

Φ(zα) = 1− α 0.5 0.75 0.90 0.95 0.975 0.99 0.995 0.999 0.9995

Valori critici della distribuzione t di Student

Gradi di Area della coda destra della distribuzione t di Student Libertà 0.1 0.05 0.025 0.01 0.005 0.001 0.0005

1 3.0777 6.3138 12.7062 31.8205 63.6567 318.3088 636.6192 2 1.8856 2.9200 4.3027 6.9646 9.9248 22.3271 31.5991 3 1.6377 2.3534 3.1824 4.5407 5.8409 10.2145 12.9240 4 1.5332 2.1318 2.7764 3.7469 4.6041 7.1732 8.6103 5 1.4759 2.0150 2.5706 3.3649 4.0321 5.8934 6.8688 6 1.4398 1.9432 2.4469 3.1427 3.7074 5.2076 5.9588 7 1.4149 1.8946 2.3646 2.9980 3.4995 4.7853 5.4079 8 1.3968 1.8595 2.3060 2.8965 3.3554 4.5008 5.0413 9 1.3830 1.8331 2.2622 2.8214 3.2498 4.2968 4.7809 10 1.3722 1.8125 2.2281 2.7638 3.1693 4.1437 4.5869 11 1.3634 1.7959 2.2010 2.7181 3.1058 4.0247 4.4370 12 1.3562 1.7823 2.1788 2.6810 3.0545 3.9296 4.3178 13 1.3502 1.7709 2.1604 2.6503 3.0123 3.8520 4.2208 14 1.3450 1.7613 2.1448 2.6245 2.9768 3.7874 4.1405 15 1.3406 1.7531 2.1314 2.6025 2.9467 3.7328 4.0728 16 1.3368 1.7459 2.1199 2.5835 2.9208 3.6862 4.0150 17 1.3334 1.7396 2.1098 2.5669 2.8982 3.6458 3.9651 18 1.3304 1.7341 2.1009 2.5524 2.8784 3.6105 3.9216 19 1.3277 1.7291 2.0930 2.5395 2.8609 3.5794 3.8834 20 1.3253 1.7247 2.0860 2.5280 2.8453 3.5518 3.8495 21 1.3232 1.7207 2.0796 2.5176 2.8314 3.5272 3.8193 22 1.3212 1.7171 2.0739 2.5083 2.8188 3.5050 3.7921 23 1.3195 1.7139 2.0687 2.4999 2.8073 3.4850 3.7676 24 1.3178 1.7109 2.0639 2.4922 2.7969 3.4668 3.7454 25 1.3163 1.7081 2.0595 2.4851 2.7874 3.4502 3.7251 26 1.3150 1.7056 2.0555 2.4786 2.7787 3.4350 3.7066 27 1.3137 1.7033 2.0518 2.4727 2.7707 3.4210 3.6896 28 1.3125 1.7011 2.0484 2.4671 2.7633 3.4082 3.6739 29 1.3114 1.6991 2.0452 2.4620 2.7564 3.3962 3.6594 30 1.3104 1.6973 2.0423 2.4573 2.7500 3.3852 3.6460 31 1.3095 1.6955 2.0395 2.4528 2.7440 3.3749 3.6335 32 1.3086 1.6939 2.0369 2.4487 2.7385 3.3653 3.6218 33 1.3077 1.6924 2.0345 2.4448 2.7333 3.3563 3.6109 34 1.3070 1.6909 2.0322 2.4411 2.7284 3.3479 3.6007 35 1.3062 1.6896 2.0301 2.4377 2.7238 3.3400 3.5911 36 1.3055 1.6883 2.0281 2.4345 2.7195 3.3326 3.5821 37 1.3049 1.6871 2.0262 2.4314 2.7154 3.3256 3.5737 38 1.3042 1.6860 2.0244 2.4286 2.7116 3.3190 3.5657 39 1.3036 1.6849 2.0227 2.4258 2.7079 3.3128 3.5581 40 1.3031 1.6839 2.0211 2.4233 2.7045 3.3069 3.5510 41 1.3025 1.6829 2.0195 2.4208 2.7012 3.3013 3.5442 42 1.3020 1.6820 2.0181 2.4185 2.6981 3.2960 3.5377 43 1.3016 1.6811 2.0167 2.4163 2.6951 3.2909 3.5316 44 1.3011 1.6802 2.0154 2.4141 2.6923 3.2861 3.5258 45 1.3006 1.6794 2.0141 2.4121 2.6896 3.2815 3.5203 46 1.3002 1.6787 2.0129 2.4102 2.6870 3.2771 3.5150 47 1.2998 1.6779 2.0117 2.4083 2.6846 3.2729 3.5099 48 1.2994 1.6772 2.0106 2.4066 2.6822 3.2689 3.5051 49 1.2991 1.6766 2.0096 2.4049 2.6800 3.2651 3.5004 50 1.2987 1.6759 2.0086 2.4033 2.6778 3.2614 3.4960 60 1.2958 1.6706 2.0003 2.3901 2.6603 3.2317 3.4602 70 1.2938 1.6669 1.9944 2.3808 2.6479 3.2108 3.4350 80 1.2922 1.6641 1.9901 2.3739 2.6387 3.1953 3.4163 90 1.2910 1.6620 1.9867 2.3685 2.6316 3.1833 3.4019 100 1.2901 1.6602 1.9840 2.3642 2.6259 3.1737 3.3905 +∞ 1.2816 1.6449 1.9600 2.3263 2.5758 3.0902 3.2905

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