Basic Statistics Cheat Sheet, Cheat Sheet of Statistics

Download Basic Statistics Cheat Sheet and more Cheat Sheet Statistics in PDF only on Docsity! μ 2 = (x μ)2 n 2 = x 2 n μ2 s 2 s2 = (x x )2 n 1 s2 = x 2 ( x)2 n n 1 s s n s2 1 n1 + 1 n2 s1 2 n1 + s2 2 n2 μ μ μ t = x μ0 s n μ μ μ μ μ μ μ μ μ x = 0.0508 s2 = (x x )2 n 1 = (0.051 0.0508)2 + (0.0505 0.0508)2 + etc... 6 = 9.15 10 7 s = s2 = 9.56 10 4 t = x μ0 s n = 0.0508 0.05 9.56 10 4 7 = 2.17 μ μ μ μ μ μ μ μ μ E = (row total)(column total) grand total = (495)(490) 1960 =123.75 2 = (O E)2 E = (113 123.75)2 123.75 + (113 124)2 124 + (110 124.26)2 124.26 + etc...= 91.73 P(A and B) = P(A) P(B) P(A or B) = P(A) + P(B) P(A and B) P(A |B) = P(A and B) P(B) P(A |B) = P(B | A) P(A) P(B) 0.5 0.5 0.5 = 0.125 = P(A and B) = P(2 children = bb and 1st child bb) P(B) = P(1st child = bb) = 0.5 P(2 children = bb | 1st child bb) = P(A |B) = P(A and B) P(B) = 0.125 0.5 0.25 P(A |B) = P(B | A) P(A) P(B) P(S = Z |W = Zz) = 0.5 P(W = Zz) = 0.7 P(S = Z) = (0.7 0.5) + (0.3 1) = 0.65 P(W = Zz | S = Z) = 0.5 0.7 0.65 = 0.538 P(X = m) = n! pm (1 p)(n m ) m! (n m)! P(1 boy of 5 children) = 5! 0.51 0.54 1! (4)! = 0.15625 P(X = m) = e np (n p)m m! TABLE B; t-DISTRIBUTION CRITICAL VALUES ‘Tail probability > di} 25 20 AS 10 OS 025 02 OL 00S 0025 =.001 = 0005 1] 1000 1376 1963 3.078 6314 12:71 15.89 31.82 63.66 1273 3183 636.6 2) 816 1,061 1.386 1.886 2.920 4303 4849 6965 9.925 14.09 2233 31.60 3] 765 978 1250 1.638 2.353 3,182 3482 4.541 S841 7.453 1021 1292 4) 741 941 1190 1.533 2.132 2.776 2999 3,747 4604: 5598 7.173 8.610 5| 727 ..920 1156 1476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 6] .718 906 1.134 1.440 1.943 2447 2612 3.143 3.707 4317, 5.208 5.959 7] 711 896 «1119 1415 1.895 2365 2517 2998 3499 4,029 4785 5.408 8] 706 «6.889 1108 «(1.397 1.860 2.306 2449 2896 3.355 3.833 4501 5.041 9] 703 883 1100 1.383 1,833 2.262 2.398 2821 3.250 3.690 4.297 4.781 10] 700 =.879 1.093 1.372 1.812 2228 2,359 2.764 3169 3.581 4.144 4.587 1} 697) 876 :1.088 1.363 1.796 2,201 2.328 2.718 3.106 3.497 4.025 4.437 12] 695 873 1.083 1.356 1.782 2179 2303 2681 3.055 3.428 3.930 4318 13] 694 870 1079 1.350 1.771 2.160 2.282 ; 2.650 3,022" 3.372 3.852 4,221 14] 692 868 1076 1345 L761 2145 2264 2.624 2977 3.326 3.787 4.140 15} 691 866 1.074 «(1.341 «1.753 2131 2249 2.602° 2947 3.286 3,733 4.073 16] 690 865 1.071 1337 1.746 2120 2.235 2583 2921 3,252- 3,686 4.015 17] 689 = =.863 1.069 1.333 1.740 2.110 2224 2567 2898 3.222 3.646 3.965 18] 688 862 1.067 1330 1734 2.101 2214 2,552 2878 3.197 3.611 3.922 19} 688 861 1.066 1328 1.729 2.093 2205 2539 2861 3.174 3.579 3.883 20] 687 860 «1.064 1.325 1.725 2.086 2197 2528 2845 3.153 3.552 3.850 21) 686 859 = 1.063 1323 1.721 2080 2189 2518 2831, 3.135 3.527 3.819 22) 686 858 1.061. 1321 1.717 2.074 2.183 2508 2819 3.419 3.505 3,792 23] 685 858 1.060 1319 L714 2.069 2177 2500 2807 3.104 3485 3.768 24] 685 857 1.059 1.318 L7M 2064 2.172 2492 2,797 3.091 3.467, 3.745 25| 684 856 1.058 1.316 1.708 2.060 2.167 2485 2.787 3.078 3.450 3.725 26) 684 856 1058 1315 1.706 2056 2162 2479 2.779. 3.067 3,435" 3.707 27) 684 855 1.057 1.334 1.703 2.052 2.158 2473 2771 3.057 3.421 3.690 28) 683 855 1.056 1313 1.701 2.048 2154 2467 2,763 3.047 3.408 3.674 29) 683 854 1.055 1311 1.699 2045 2150 2462 2.756 3.038 3396 3.659 30] 683 854 1.055 1.310 1697 2.042 2147 2457 2.750 3.030 3.385 3.646. 40] 681 851 1.050 1.303 1684 2021 2123 2423 2.704 2.971 3.307 43.551 50] .679 849 «1.047 1.299 1.676 2.009 2.109 2403 2678 2937 3.261 3.496 60] .679 848 1.045 1.296 1.671 2.000 2.099 2390 2660 2915 3.232 3.460 80] .678 846 1,043 1,292 1.664 1.990 2.088 2374 2639° 2.887 3.195 3416 100] 677° 845) 1.042 1.290 1.660 1.984 2.081 2364 2.626 2.871 3.174 3.390 1000 | 675 842-1037 1.282 1.646 1.962 2.056 2330 2581 2813 3.098 3,300 | 674 841 1.036 1.282 1645 1960 2054 2326 2576 2.807 3.091 3,291 50% 60% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% Confidence level C