О РИТЕЙЛ-АУДИТЕ
Таблица. Нормальный закон распределения
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
0.0 | 0.00000 | 0.00798 | 0.01596 | 0.02393 | 0.03191 | 0.03988 | 0.04784 | 0.05581 | 0.06376 | 0.07171 |
0.1 | 0.07966 | 0.08759 | 0.09552 | 0.10348 | 0.11134 | 0.11924 | 0.12712 | 0.13499 | 0.14285 | 0.15069 |
0.2 | 0.15852 | 0.16633 | 0.17413 | 0.18191 | 0.18967 | 0.19741 | 0.20514 | 0.21284 | 0.22052 | 0.22818 |
0.3 | 0.23582 | 0.24344 | 0.25103 | 0.25860 | 0.26614 | 0.27366 | 0.28115 | 0.28862 | 0.29605 | 0.30346 |
0.4 | 0.31084 | 0.31819 | 0.32552 | 0.33280 | 0.34006 | 0.34729 | 0.35448 | 0.36164 | 0.36877 | 0.37587 |
0.5 | 0.38292 | 0.38995 | 0.39694 | 0.40389 | 0.41080 | 0.41768 | 0.42452 | 0.43132 | 0.43809 | 0.44481 |
0.6 | 0.45149 | 0.45814 | 0.46474 | 0.47131 | 0.47783 | 0.48431 | 0.49075 | 0.49714 | 0.50350 | 0.50981 |
0.7 | 0.51607 | 0.52230 | 0.52848 | 0.53461 | 0.54070 | 0.54675 | 0.55275 | 0.55870 | 0.56461 | 0.57047 |
0.8 | 0.57629 | 0.58206 | 0.58778 | 0.59346 | 0.59909 | 0.60468 | 0.61021 | 0.61570 | 0.62114 | 0.62653 |
0.9 | 0.63188 | 0.63718 | 0.64243 | 0.64763 | 0.65278 | 0.65789 | 0.66294 | 0.66795 | 0.67291 | 0.67783 |
1.0 | 0.68269 | 0.68750 | 0.69227 | 0.69699 | 0.70166 | 0.70628 | 0.71086 | 0.71538 | 0.71986 | 0.72429 |
1.1 | 0.72867 | 0.73300 | 0.73729 | 0.74152 | 0.74571 | 0.74986 | 0.75395 | 0.75800 | 0.76200 | 0.76595 |
1.2 | 0.76986 | 0.77372 | 0.77754 | 0.78130 | 0.78502 | 0.78870 | 0.79233 | 0.79592 | 0.79945 | 0.80295 |
1.3 | 0.80640 | 0.80980 | 0.81316 | 0.81648 | 0.81975 | 0.82298 | 0.82617 | 0.82931 | 0.83241 | 0.83547 |
1.4 | 0.83849 | 0.84146 | 0.84439 | 0.84728 | 0.85013 | 0.85294 | 0.85571 | 0.85844 | 0.86113 | 0.86378 |
1.5 | 0.86639 | 0.86896 | 0.87149 | 0.87398 | 0.87644 | 0.87886 | 0.88124 | 0.88358 | 0.88589 | 0.88817 |
1.6 | 0.89040 | 0.89260 | 0.89477 | 0.89690 | 0.89899 | 0.90106 | 0.90309 | 0.90508 | 0.90704 | 0.90897 |
1.7 | 0.91087 | 0.91273 | 0.91457 | 0.91637 | 0.91814 | 0.91988 | 0.92159 | 0.92327 | 0.92492 | 0.92655 |
1.8 | 0.92814 | 0.92970 | 0.93124 | 0.93275 | 0.93423 | 0.93569 | 0.93711 | 0.93852 | 0.93989 | 0.94124 |
1.9 | 0.94257 | 0.94387 | 0.94514 | 0.94639 | 0.94762 | 0.94882 | 0.95000 | 0.95116 | 0.95230 | 0.95341 |
2.0 | 0.95450 | 0.95557 | 0.95662 | 0.95764 | 0.95865 | 0.95964 | 0.96060 | 0.96155 | 0.96247 | 0.96338 |
2.1 | 0.96427 | 0.96514 | 0.96599 | 0.96683 | 0.96765 | 0.96844 | 0.96923 | 0.96999 | 0.97074 | 0.97148 |
2.2 | 0.97219 | 0.97289 | 0.97358 | 0.97425 | 0.97491 | 0.97555 | 0.97618 | 0.97679 | 0.97739 | 0.97798 |
2.3 | 0.97855 | 0.97911 | 0.97966 | 0.98019 | 0.98072 | 0.98123 | 0.98172 | 0.98221 | 0.98269 | 0.98315 |
2.4 | 0.98360 | 0.98405 | 0.98448 | 0.98490 | 0.98531 | 0.98571 | 0.98611 | 0.98649 | 0.98686 | 0.98723 |
2.5 | 0.98758 | 0.98793 | 0.98826 | 0.98859 | 0.98891 | 0.98923 | 0.98953 | 0.98983 | 0.99012 | 0.99040 |
2.6 | 0.99068 | 0.99095 | 0.99121 | 0.99146 | 0.99171 | 0.99195 | 0.99219 | 0.99241 | 0.99263 | 0.99285 |
2.7 | 0.99307 | 0.99327 | 0.99347 | 0.99367 | 0.99386 | 0.99404 | 0.99422 | 0.99439 | 0.99456 | 0.99473 |
2.8 | 0.99489 | 0.99505 | 0.99520 | 0.99535 | 0.99549 | 0.99563 | 0.99576 | 0.99590 | 0.99602 | 0.99615 |
2.9 | 0.99627 | 0.99639 | 0.99650 | 0.99661 | 0.99672 | 0.99682 | 0.99692 | 0.99702 | 0.99712 | 0.99721 |
3.0 | 0.99730 | 0.99739 | 0.99747 | 0.99755 | 0.99763 | 0.99771 | 0.99779 | 0.99786 | 0.99793 | 0.99800 |
3.1 | 0.99806 | 0.99813 | 0.99819 | 0.99825 | 0.99831 | 0.99837 | 0.99842 | 0.99848 | 0.99853 | 0.99858 |
3.2 | 0.99863 | 0.99867 | 0.99872 | 0.99876 | 0.99880 | 0.99885 | 0.99889 | 0.99892 | 0.99896 | 0.99900 |
3.3 | 0.99903 | 0.99907 | 0.99910 | 0.99913 | 0.99916 | 0.99919 | 0.99922 | 0.99925 | 0.99928 | 0.99930 |
3.4 | 0.99933 | 0.99935 | 0.99937 | 0.99940 | 0.99942 | 0.99944 | 0.99946 | 0.99948 | 0.99950 | 0.99952 |
3.5 | 0.99953 | 0.99955 | 0.99957 | 0.99958 | 0.99960 | 0.99961 | 0.99963 | 0.99964 | 0.99966 | 0.99967 |
3.6 | 0.99968 | 0.99969 | 0.99971 | 0.99972 | 0.99973 | 0.99974 | 0.99975 | 0.99976 | 0.99977 | 0.99978 |
3.7 | 0.99978 | 0.99979 | 0.99980 | 0.99981 | 0.99982 | 0.99982 | 0.99983 | 0.99984 | 0.99984 | 0.99985 |
3.8 | 0.99986 | 0.99986 | 0.99987 | 0.99987 | 0.99988 | 0.99988 | 0.99989 | 0.99989 | 0.99990 | 0.99990 |
3.9 | 0.99990 | 0.99991 | 0.99991 | 0.99992 | 0.99992 | 0.99992 | 0.99992 | 0.99993 | 0.99993 | 0.99993 |
4.0 | 0.99994 | | | | | | | | | |
4.5 | 0.999994 | | | | | | | | | |
5.0 | 0.99999994 | | | | | | | | | |
Таблица. Распределение Стьюдента (t-распределение)
v \ α | 0.9 | 0.8 | 0.7 | 0.6 | 0.5 | 0.4 | 0.3 | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 | 0.001 |
1 | 0.158 | 0.325 | 0.510 | 0.727 | 1.000 | 1.376 | 1.963 | 3.078 | 6.314 | 12.706 | 31.821 | 63.657 | 636.619 |
2 | 0.142 | 0.289 | 0.445 | 0.617 | 0.816 | 1.061 | 1.386 | 1.886 | 2.920 | 4.303 | 6.965 | 9.925 | 31.599 |
3 | 0.137 | 0.277 | 0.424 | 0.584 | 0.765 | 0.978 | 1.250 | 1.638 | 2.353 | 3.182 | 4.541 | 5.841 | 12.924 |
4 | 0.134 | 0.271 | 0.414 | 0.569 | 0.741 | 0.941 | 1.190 | 1.563 | 2.132 | 2.776 | 3.747 | 4.604 | 8.610 |
5 | 0.132 | 0.267 | 0.406 | 0.559 | 0.727 | 0.920 | 1.156 | 1.476 | 2.015 | 2.571 | 3.365 | 4.032 | 6.869 |
6 | 0.131 | 0.265 | 0.404 | 0.553 | 0.718 | 0.906 | 1.134 | 1.440 | 1.943 | 2.447 | 3.143 | 3.707 | 5.959 |
7 | 0.130 | 0.263 | 0.402 | 0.549 | 0.711 | 0.896 | 1.119 | 1.415 | 1.895 | 2.365 | 2.998 | 3.500 | 5.408 |
8 | 0.130 | 0.262 | 0.399 | 0.546 | 0.706 | 0.889 | 1.108 | 1.397 | 1.860 | 2.306 | 2.897 | 3.355 | 5.041 |
9 | 0.129 | 0.261 | 0.398 | 0.543 | 0.703 | 0.883 | 1.100 | 1.383 | 1.833 | 2.262 | 2.821 | 3.250 | 4.781 |
10 | 0.129 | 0.260 | 0.397 | 0.542 | 0.700 | 0.879 | 1.093 | 1.372 | 1.813 | 2.228 | 2.764 | 3.169 | 4.587 |
11 | 0.129 | 0.260 | 0.396 | 0.540 | 0.697 | 0.876 | 1.088 | 1.363 | 1.796 | 2.201 | 2.718 | 3.106 | 4.437 |
12 | 0.128 | 0.259 | 0.395 | 0.539 | 0.695 | 0.873 | 1.083 | 1.356 | 1.782 | 2.179 | 2.681 | 3.055 | 4.318 |
13 | 0.128 | 0.259 | 0.394 | 0.539 | 0.694 | 0.870 | 1.079 | 1.350 | 1.771 | 2.160 | 2.650 | 3.012 | 4.221 |
14 | 0.128 | 0.258 | 0.393 | 0.537 | 0.692 | 0.868 | 1.076 | 1.345 | 1.761 | 2.145 | 2.625 | 2.977 | 4.141 |
15 | 0.128 | 0.258 | 0.393 | 0.536 | 0.692 | 0.866 | 1.074 | 1.341 | 1.753 | 2.131 | 2.603 | 2.947 | 4.073 |
16 | 0.128 | 0.258 | 0.392 | 0.535 | 0.690 | 0.865 | 1.071 | 1.337 | 1.746 | 2.120 | 2.584 | 2.921 | 4.015 |
17 | 0.128 | 0.257 | 0.392 | 0.534 | 0.689 | 0.863 | 1.069 | 1.333 | 1.740 | 2.110 | 2.567 | 2.898 | 3.965 |
18 | 0.127 | 0.257 | 0.392 | 0.534 | 0.688 | 0.862 | 1.067 | 1.330 | 1.734 | 2.101 | 2.552 | 2.878 | 3.922 |
19 | 0.127 | 0.257 | 0.391 | 0.533 | 0.688 | 0.861 | 1.066 | 1.328 | 1.729 | 2.093 | 2.540 | 2.861 | 3.883 |
20 | 0.127 | 0.257 | 0.391 | 0.533 | 0.687 | 0.860 | 1.064 | 1.325 | 1.725 | 2.086 | 2.528 | 2.845 | 3.850 |
21 | 0.127 | 0.257 | 0.391 | 0.532 | 0.686 | 0.859 | 1.063 | 1.323 | 1.721 | 2.080 | 2.518 | 2.831 | 3.819 |
22 | 0.127 | 0.256 | 0.390 | 0.532 | 0.686 | 0.858 | 1.061 | 1.321 | 1.717 | 2.074 | 2.508 | 2.819 | 3.792 |
23 | 0.127 | 0.256 | 0.390 | 0.532 | 0.685 | 0.858 | 1.060 | 1.319 | 1.714 | 2.069 | 2.500 | 2.807 | 3.768 |
24 | 0.127 | 0.256 | 0.390 | 0.531 | 0.685 | 0.857 | 1.059 | 1.318 | 1.711 | 2.064 | 2.492 | 2.797 | 3.745 |
25 | 0.127 | 0.256 | 0.390 | 0.531 | 0.684 | 0.856 | 1.058 | 1.316 | 1.708 | 2.060 | 2.485 | 2.787 | 3.725 |
26 | 0.127 | 0.256 | 0.390 | 0.531 | 0.684 | 0.856 | 1.058 | 1.315 | 1.706 | 2.056 | 2.479 | 2.779 | 3.707 |
27 | 0.127 | 0.256 | 0.389 | 0.531 | 0.684 | 0.855 | 1.057 | 1.314 | 1.703 | 2.052 | 2.473 | 2.771 | 3.690 |
28 | 0.127 | 0.256 | 0.389 | 0.530 | 0.683 | 0.855 | 1.056 | 1.313 | 1.701 | 2.048 | 2.467 | 2.763 | 3.674 |
29 | 0.127 | 0.256 | 0.389 | 0.530 | 0.683 | 0.854 | 1.056 | 1.311 | 1.699 | 2.045 | 2.462 | 2.756 | 3.659 |
30 | 0.127 | 0.256 | 0.389 | 0.530 | 0.683 | 0.854 | 1.055 | 1.310 | 1.697 | 2.042 | 2.457 | 2.750 | 3.646 |
40 | 0.126 | 0.255 | 0.388 | 0.529 | 0.681 | 0.851 | 1.050 | 1.303 | 1.684 | 2.021 | 2.423 | 2.705 | 3.551 |
60 | 0.126 | 0.254 | 0.387 | 0.527 | 0.679 | 0.848 | 1.046 | 1.296 | 1.671 | 2.000 | 2.390 | 2.660 | 3.460 |
120 | 0.126 | 0.254 | 0.386 | 0.526 | 0.677 | 0.845 | 1.041 | 1.289 | 1.658 | 1.980 | 2.358 | 2.617 | 3.374 |
∞ | 0.126 | 0.253 | 0.385 | 0.524 | 0.674 | 0.842 | 1.036 | 1.282 | 1.645 | 1.960 | 2.326 | 2.576 | 3.291 |
Таблица. Распределение Фишера-Снедекора (F-распределение). Уровень значимости α =0,05
v1 \ v2 | 1 | 2 | 3 | 4 | 5 | 6 | 8 | 12 | 24 | ∞ |
1 | 161.45 | 199.50 | 215.72 | 224.57 | 230.17 | 233.97 | 238.89 | 243.91 | 249.04 | 254.32 |
2 | 18.51 | 19.00 | 19.16 | 19.25 | 19.30 | 19.33 | 19.37 | 19.41 | 19.45 | 19.50 |
3 | 10.13 | 9.55 | 9.28 | 9.12 | 9.01 | 8.94 | 8.84 | 8.74 | 8.64 | 8.53 |
4 | 7.71 | 6.94 | 6.59 | 6.39 | 6.26 | 6.16 | 6.04 | 5.91 | 5.77 | 5.63 |
5 | 6.61 | 5.79 | 5.41 | 5.19 | 5.05 | 4.95 | 4.82 | 4.68 | 4.53 | 4.36 |
6 | 5.99 | 5.14 | 4.76 | 4.53 | 4.39 | 4.28 | 4.15 | 4.00 | 3.84 | 3.67 |
7 | 5.59 | 4.74 | 4.35 | 4.12 | 3.97 | 3.87 | 3.73 | 3.57 | 3.41 | 3.23 |
8 | 5.32 | 4.46 | 4.07 | 3.84 | 3.69 | 3.58 | 3.44 | 3.28 | 3.12 | 2.93 |
9 | 5.12 | 4.26 | 3.86 | 3.63 | 3.48 | 3.37 | 3.23 | 3.07 | 2.90 | 2.71 |
10 | 4.96 | 4.10 | 3.71 | 3.48 | 3.33 | 3.22 | 3.07 | 2.91 | 2.74 | 2.54 |
11 | 4.84 | 3.98 | 3.59 | 3.36 | 3.20 | 3.09 | 2.95 | 2.79 | 2.61 | 2.40 |
12 | 4.75 | 3.88 | 3.49 | 3.26 | 3.11 | 3.00 | 2.85 | 2.69 | 2.50 | 2.30 |
13 | 4.67 | 3.80 | 3.41 | 3.18 | 3.02 | 2.92 | 2.77 | 2.60 | 2.42 | 2.21 |
14 | 4.60 | 3.74 | 3.34 | 3.11 | 2.96 | 2.85 | 2.70 | 2.53 | 2.35 | 2.13 |
15 | 4.54 | 3.68 | 3.29 | 3.06 | 2.90 | 2.79 | 2.64 | 2.48 | 2.29 | 2.07 |
16 | 4.49 | 3.63 | 3.24 | 3.01 | 2.85 | 2.74 | 2.59 | 2.42 | 2.24 | 2.01 |
17 | 4.45 | 3.59 | 3.20 | 2.96 | 2.81 | 2.70 | 2.55 | 2.38 | 2.19 | 1.96 |
18 | 4.41 | 3.55 | 3.16 | 2.93 | 2.77 | 2.66 | 2.51 | 2.34 | 2.15 | 1.92 |
19 | 4.38 | 3.52 | 3.13 | 2.90 | 2.74 | 2.63 | 2.48 | 2.31 | 2.11 | 1.88 |
20 | 4.35 | 3.49 | 3.10 | 2.87 | 2.71 | 2.60 | 2.45 | 2.28 | 2.08 | 1.84 |
21 | 4.32 | 3.47 | 3.07 | 2.84 | 2.68 | 2.57 | 2.42 | 2.25 | 2.05 | 1.81 |
22 | 4.30 | 3.44 | 3.05 | 2.82 | 2.66 | 2.55 | 2.40 | 2.23 | 2.03 | 1.78 |
23 | 4.28 | 3.42 | 3.03 | 2.80 | 2.64 | 2.53 | 2.38 | 2.20 | 2.00 | 1.76 |
24 | 4.26 | 3.40 | 3.01 | 2.78 | 2.62 | 2.51 | 2.36 | 2.18 | 1.98 | 1.73 |
25 | 4.24 | 3.38 | 2.99 | 2.76 | 2.60 | 2.49 | 2.34 | 2.16 | 1.96 | 1.71 |
26 | 4.22 | 3.37 | 2.98 | 2.74 | 2.59 | 2.47 | 2.32 | 2.15 | 1.95 | 1.69 |
27 | 4.21 | 3.35 | 2.96 | 2.73 | 2.57 | 2.46 | 2.30 | 2.13 | 1.93 | 1.67 |
28 | 4.20 | 3.34 | 2.95 | 2.71 | 2.56 | 2.44 | 2.29 | 2.12 | 1.91 | 1.65 |
29 | 4.18 | 3.33 | 2.93 | 2.70 | 2.54 | 2.43 | 2.28 | 2.10 | 1.90 | 1.64 |
30 | 4.17 | 3.32 | 2.92 | 2.69 | 2.53 | 2.42 | 2.27 | 2.09 | 1.89 | 1.62 |
35 | 4.12 | 3.26 | 2.87 | 2.64 | 2.48 | 2.37 | 2.22 | 2.04 | 1.83 | 1.57 |
40 | 4.08 | 3.23 | 2.84 | 2.61 | 2.45 | 2.34 | 2.18 | 2.00 | 1.79 | 1.51 |
45 | 4.06 | 3.21 | 2.81 | 2.58 | 2.42 | 2.31 | 2.15 | 1.97 | 1.76 | 1.48 |
50 | 4.03 | 3.18 | 2.79 | 2.56 | 2.40 | 2.29 | 2.13 | 1.95 | 1.74 | 1.44 |
60 | 4.00 | 3.15 | 2.76 | 2.52 | 2.37 | 2.25 | 2.10 | 1.92 | 1.70 | 1.39 |
70 | 3.98 | 3.13 | 2.74 | 2.50 | 2.35 | 2.23 | 2.07 | 1.89 | 1.67 | 1.35 |
80 | 3.96 | 3.11 | 2.72 | 2.49 | 2.33 | 2.21 | 2.06 | 1.88 | 1.65 | 1.31 |
90 | 3.95 | 3.10 | 2.71 | 2.47 | 2.32 | 2.20 | 2.04 | 1.86 | 1.64 | 1.28 |
100 | 3.94 | 3.09 | 2.70 | 2.46 | 2.30 | 2.19 | 2.03 | 1.85 | 1.63 | 1.26 |
125 | 3.92 | 3.07 | 2.68 | 2.44 | 2.29 | 2.17 | 2.01 | 1.83 | 1.60 | 1.21 |
150 | 3.90 | 3.06 | 2.66 | 2.43 | 2.27 | 2.16 | 2.00 | 1.82 | 1.59 | 1.18 |
200 | 3.89 | 3.04 | 2.65 | 2.42 | 2.26 | 2.14 | 1.98 | 1.80 | 1.57 | 1.14 |
300 | 3.87 | 3.03 | 2.64 | 2.41 | 2.25 | 2.13 | 1.97 | 1.79 | 1.55 | 1.10 |
400 | 3.86 | 3.02 | 2.63 | 2.40 | 2.24 | 2.12 | 1.96 | 1.78 | 1.54 | 1.07 |
500 | 3.86 | 3.01 | 2.62 | 2.39 | 2.23 | 2.11 | 1.96 | 1.77 | 1.54 | 1.06 |
1000 | 3.85 | 3.00 | 2.61 | 2.38 | 2.22 | 2.10 | 1.95 | 1.76 | 1.53 | 1.03 |
∞ | 3.84 | 2.99 | 2.60 | 2.37 | 2.21 | 2.09 | 1.94 | 1.75 | 1.52 | 1.00 |