? x 2 3 4 5 6 7 8 9 10 15 01353 00498 00183 00067

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Finite Mathematics for the Managerial, Life, and Social Sciences: An Applied Approach
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Chapter 7 / Exercise 13
Finite Mathematics for the Managerial, Life, and Social Sciences: An Applied Approach
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λ x 2 3 4 5 6 7 8 9 10 15 0 0.1353 0.0498 0.0183 0.0067 0.0025 9e-04 3e-04 1e-04 0 0 1 0.406 0.1991 0.0916 0.0404 0.0174 0.0073 0.003 0.0012 5e-04 0 2 0.6767 0.4232 0.2381 0.1247 0.062 0.0296 0.0138 0.0062 0.0028 0 3 0.8571 0.6472 0.4335 0.265 0.1512 0.0818 0.0424 0.0212 0.0103 2e-04 4 0.9473 0.8153 0.6288 0.4405 0.2851 0.173 0.0996 0.055 0.0293 9e-04 5 0.9834 0.9161 0.7851 0.616 0.4457 0.3007 0.1912 0.1157 0.0671 0.0028 6 0.9955 0.9665 0.8893 0.7622 0.6063 0.4497 0.3134 0.2068 0.1301 0.0076 7 0.9989 0.9881 0.9489 0.8666 0.744 0.5987 0.453 0.3239 0.2202 0.018 8 0.9998 0.9962 0.9786 0.9319 0.8472 0.7291 0.5925 0.4557 0.3328 0.0374 9 1 0.9989 0.9919 0.9682 0.9161 0.8305 0.7166 0.5874 0.4579 0.0699 10 1 0.9997 0.9972 0.9863 0.9574 0.9015 0.8159 0.706 0.583 0.1185 11 1 0.9999 0.9991 0.9945 0.9799 0.9467 0.8881 0.803 0.6968 0.1848 12 1 1 0.9997 0.998 0.9912 0.973 0.9362 0.8758 0.7916 0.2676 13 1 1 0.9999 0.9993 0.9964 0.9872 0.9658 0.9261 0.8645 0.3632 14 1 1 1 0.9998 0.9986 0.9943 0.9827 0.9585 0.9165 0.4657 15 1 1 1 0.9999 0.9995 0.9976 0.9918 0.978 0.9513 0.5681 16 1 1 1 1 0.9998 0.999 0.9963 0.9889 0.973 0.6641 17 1 1 1 1 0.9999 0.9996 0.9984 0.9947 0.9857 0.7489 18 1 1 1 1 1 0.9999 0.9993 0.9976 0.9928 0.8195 19 1 1 1 1 1 1 0.9997 0.9989 0.9965 0.8752 20 1 1 1 1 1 1 0.9999 0.9996 0.9984 0.917 21 1 1 1 1 1 1 1 0.9998 0.9993 0.9469 22 1 1 1 1 1 1 1 0.9999 0.9997 0.9673 23 1 1 1 1 1 1 1 1 0.9999 0.9805 24 1 1 1 1 1 1 1 1 1 0.9888 25 1 1 1 1 1 1 1 1 1 0.9938 26 1 1 1 1 1 1 1 1 1 0.9967 27 1 1 1 1 1 1 1 1 1 0.9983 28 1 1 1 1 1 1 1 1 1 0.9991 29 1 1 1 1 1 1 1 1 1 0.9996 30 1 1 1 1 1 1 1 1 1 0.9998 31 1 1 1 1 1 1 1 1 1 0.9999 32 1 1 1 1 1 1 1 1 1 1
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Finite Mathematics for the Managerial, Life, and Social Sciences: An Applied Approach
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Chapter 7 / Exercise 13
Finite Mathematics for the Managerial, Life, and Social Sciences: An Applied Approach
Tan
Expert Verified
APPENDIX A. DISTRIBUTION TABLES 368 Table A.17: Sign Test I . Entries give P ( X x ) where X bin ( n, 1 / 2 ) . Note that, by symmetry, P ( X x ) = P ( X n - x ) . Cumulative probabilities are give up to the smallest value greater than or equal to P ( X x ) = 0 . 5 n x 2 3 4 5 6 7 8 9 10 0 0.25 0.125 0.0625 0.0312 0.0156 0.0078 0.0039 0.002 0.001 1 0.75 0.5 0.3125 0.1875 0.1094 0.0625 0.0352 0.0195 0.0107 2 0.6875 0.5 0.3437 0.2266 0.1445 0.0898 0.0547 3 0.6562 0.5 0.3633 0.2539 0.1719 4 0.6367 0.5 0.377 Table A.18: Sign Test II . Entries give P ( X x ) where X bin ( n, 1 / 2 ) . Note that, by symmetry, P ( X x ) = P ( X n - x ) . Cumulative probabilities are give up to the smallest value greater than or equal to P ( X x ) = 0 . 5 n x 11 12 13 14 15 16 17 18 19 0 5e-04 2e-04 1e-04 1e-04 0 0 0 0 0 1 0.0059 0.0032 0.0017 9e-04 5e-04 3e-04 1e-04 1e-04 0 2 0.0327 0.0193 0.0112 0.0065 0.0037 0.0021 0.0012 7e-04 4e-04 3 0.1133 0.073 0.0461 0.0287 0.0176 0.0106 0.0064 0.0038 0.0022 4 0.2744 0.1938 0.1334 0.0898 0.0592 0.0384 0.0245 0.0154 0.0096 5 0.5 0.3872 0.2905 0.212 0.1509 0.1051 0.0717 0.0481 0.0318 6 0.6128 0.5 0.3953 0.3036 0.2272 0.1662 0.1189 0.0835 7 0.6047 0.5 0.4018 0.3145 0.2403 0.1796 8 0.5982 0.5 0.4073 0.3238 9 0.5927 0.5 Table A.19: Sign Test III . Entries give P ( X x ) where X bin ( n, 1 / 2 ) . Note that, by symmetry, P ( X x ) = P ( X n - x ) . Cumulative probabilities are give up to the smallest value greater than or equal to P ( X x ) = 0 . 5 n x 20 21 22 23 24 25 26 27 28 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2e-04 1e-04 1e-04 0 0 0 0 0 0 3 0.0013 7e-04 4e-04 2e-04 1e-04 1e-04 0 0 0 4 0.0059 0.0036 0.0022 0.0013 8e-04 5e-04 3e-04 2e-04 1e-04 5 0.0207 0.0133 0.0085 0.0053 0.0033 0.002 0.0012 8e-04 5e-04 6 0.0577 0.0392 0.0262 0.0173 0.0113 0.0073 0.0047 0.003 0.0019 7 0.1316 0.0946 0.0669 0.0466 0.032 0.0216 0.0145 0.0096 0.0063 8 0.2517 0.1917 0.1431 0.105 0.0758 0.0539 0.0378 0.0261 0.0178 9 0.4119 0.3318 0.2617 0.2024 0.1537 0.1148 0.0843 0.061 0.0436 10 0.5881 0.5 0.4159 0.3388 0.2706 0.2122 0.1635 0.1239 0.0925 11 0.5841 0.5 0.4194 0.345 0.2786 0.221 0.1725 12 0.5806 0.5 0.4225 0.3506 0.2858 13 0.5775 0.5 0.4253 14 0.5747
APPENDIX A. DISTRIBUTION TABLES 369 Table A.20: Sign Test IV . Entries give P ( X x ) where X bin ( n, 1 / 2 ) . Note that, by symmetry, P ( X x ) = P ( X n - x ) . Cumulative probabilities are give up to the smallest value greater than or equal to P ( X x ) = 0 . 5 n x 29 30 31 32 33 34 35 36 37 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 4 1e-04 0 0 0 0 0 0 0 0 5 3e-04 2e-04 1e-04 1e-04 0 0 0 0 0 6 0.0012 7e-04 4e-04 3e-04 2e-04 1e-04 1e-04 0 0 7 0.0041 0.0026 0.0017 0.0011 7e-04 4e-04 3e-04 2e-04 1e-04 8 0.0121 0.0081 0.0053 0.0035 0.0023 0.0015 9e-04 6e-04 4e-04 9 0.0307 0.0214 0.0147 0.01 0.0068 0.0045 0.003 0.002 0.0013 10 0.068 0.0494 0.0354 0.0251 0.0175 0.0122 0.0083 0.0057 0.0038 11 0.1325 0.1002 0.0748 0.0551 0.0401 0.0288 0.0205 0.0144 0.01 12 0.2291 0.1808 0.1405 0.1077 0.0814 0.0607 0.0448 0.0326 0.0235 13 0.3555 0.2923 0.2366 0.1885 0.1481 0.1147 0.0877 0.0662 0.0494 14 0.5 0.4278 0.3601 0.2983 0.2434 0.1958 0.1553 0.1215 0.0939 15 0.5722 0.5 0.43 0.3642 0.3038 0.2498 0.2025 0.162 16 0.57 0.5 0.4321 0.3679 0.3089 0.2557 17 0.5679 0.5 0.434 0.3714 18 0.566 0.5 Table A.21: Sign Test V . Entries give P ( X x ) where X bin ( n, 1 / 2 ) . Note that, by symmetry, P ( X x ) = P ( X n - x ) . Cumulative probabilities are give up to the smallest value greater than

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