Your analysis shows that the mean capacitance of a batch of 500 of the capacitors you...
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Your analysis shows that the mean capacitance of a batch of 500 of the capacitors you have selected is 46 F, with a standard deviation of 4 F. Assuming the capacitors are normally distributed, determine the number of capacitors likely to have values between 42 F and 50 F. Note: Use the z-table given in Appendix A Appendix A Z 0 0.01 0.02 0.03 0 0 0.00399 0.00798 0.1 0.2 0.03983 0.0438 0.04776 0.07926 0.08317 0.08706 0.3 0.11791 0.12172 0.12552 0.4 0.5 0.19146 0.19497 0.6 0.7 0.8 0.28814 0.29103 0.9 1 0.34134 1.1 0.36433 1.2 0.38493 1.3 0.4032 0.4049 0.40658 0.40824 0.40988 1.4 0.41924 1.5 0.43319 1.6 0.4452 1.7 0.45543 1.8 0.46407 1.9 0.47128 2 2.1 0.47725 0.48214 2.2 0.4463 0.44738 0.45637 0.45728 0.46485 0.46562 0.47193 0.47257 0.47778 0.47831 0.48257 0.483 0.4861 0.48645 0.48679 2.3 0.48928 0.48956 0.48983 2.4 0.4918 0.49202 0.49224 2.5 0.49379 2.6 0.49534 2.7 0.49653 2.8 0.49744 0.49752 0.4976 0.49396 0.49413 0.4943 0.49547 0.4956 0.49573 0.49664 0.49674 0.49683 0.49767 2.9 0.49813 3 0.49865 3.1 3.2 3.3 0.04 0.08 0.01197 0.01595 0.01994 0.02392 0.0279 0.03188 0.03586 0.05172 0.05567 0.05962 0.06356 0.06749 0.07142 0.07535 0.09095 0.09483 0.09871 0.10257 0.10642 0.11026 0.11409 0.1293 0.13307 0.13683 0.14058 0.14431 0.14803 0.15173 0.15542 0.1591 0.16276 0.1664 0.17003 0.17364 0.19847 0.20194 0.2054 0.20884 0.21226 0.21566 0.21904 0.2224 0.22575 0.22907 0.23237 0.23565 0.23891 0.24215 0.24537 0.24857 0.25175 0.2549 0.25804 0.26115 0.26424 0.2673 0.27035 0.27337 0.27637 0.27935 0.2823 0.28524 0.29389 0.29673 0.29955 0.30234 0.30511 0.30785 0.31057 0.31327 0.31594 0.31859 0.32121 0.32381 0.32639 0.32894 0.33147 0.33398 0.33646 0.33891 0.34375 0.34614 0.34849 0.35083 0.35314 0.35543 0.35769 0.35993 0.36214 0.3665 0.36864 0.37076 0.37286 0.37493 0.37698 0.379 0.381 0.38298 0.38686 0.38877 0.39065 0.39251 0.39435 0.39617 0.39796 0.39973 0.40147 0.41308 0.41466 0.41621 0.42073 0.4222 0.42364 0.42507 0.42785 0.42922 0.43056 0.43189 0.43448 0.43574 0.43699 0.43822 0.43943 0.44062 0.44179 0.44295 0.44408 0.44845 0.4495 0.45053 0.45154 0.45254 0.45352 0.45449 0.45818 0.45907 0.45994 0.4608 0.46164 0.46246 0.46327 0.46638 0.46712 0.46784 0.46856 0.46926 0.46995 0.47062 0.4732 0.47381 0.47441 0.475 0.47558 0.47615 0.4767 0.47882 0.47932 0.47982 0.4803 0.48077 0.48124 0.48169 0.48341 0.48382 0.48422 0.48461 0.485 0.48537 0.48574 0.48713 0.48745 0.48778 0.48809 0.4884 0.4887 0.48899 0.4901 0.49036 0.49061 0.49086 0.49111 0.49134 0.49158 0.49245 0.49266 0.49286 0.49305 0.49324 0.49343 0.49361 0.49446 0.49461 0.49477 0.49492 0.49506 0.4952 0.49585 0.49598 0.49609 0.49621 0.49632 0.49643 0.49693 0.49702 0.49711 0.4972 0.49774 0.49781 0.49788 0.49795 0.49819 0.49825 0.49831 0.49836 0.49841 0.49846 0.49851 0.49869 0.49874 0.49903 0.49906 0.4991 0.49931 0.49934 0.49936 0.49952 0.05 0.06 0.07 0.09 0.17724 0.18082 0.18439 0.18793 0.41149 0.42647 0.41774 0.49728 0.49736 0.49801 0.49807 0.49856 0.49861 3.4 3.5 3.6 3.7 3.8 3.9 4.0 0.49878 0.49882 0.49886 0.49889 0.49893 0.49896 0.499 0.49913 0.49916 0.49918 0.49921 0.49924 0.49926 0.49929 0.49938 0.4994 0.49942 0.49944 0.49946 0.49948 0.4995 0.49953 0.49955 0.49957 0.49958 0.4996 0.49961 0.49962 0.49964 0.49965 0.49966 0.49968 0.49969 0.4997 0.49971 0.49972 0.49973 0.49974 0.49975 0.49976 0.49977 0.49978 0.49978 0.49979 0.4998 0.49981 0.49981 0.49982 0.49983 0.49983 0.49984 0.49985 0.49985 0.49986 0.49986 0.49987 0.49987 0.49988 0.49988 0.49989 0.49989 0.4999 0.4999 0.4999 0.49991 0.49991 0.49992 0.49992 0.49992 0.49992 0.49993 0.49993 0.49993 0.49994 0.49994 0.49994 0.49994 0.49995 0.49995 0.49995 0.49995 0.49995 0.49996 0.49996 0.49996 0.49996 0.49996 0.49996 0.49997 0.49997 0.49997 0.49997 0.49997 0.49997 0.49997 0.49997 0.49998 0.49998 0.49998 0.49998 Your analysis shows that the mean capacitance of a batch of 500 of the capacitors you have selected is 46 F, with a standard deviation of 4 F. Assuming the capacitors are normally distributed, determine the number of capacitors likely to have values between 42 F and 50 F. Note: Use the z-table given in Appendix A Appendix A Z 0 0.01 0.02 0.03 0 0 0.00399 0.00798 0.1 0.2 0.03983 0.0438 0.04776 0.07926 0.08317 0.08706 0.3 0.11791 0.12172 0.12552 0.4 0.5 0.19146 0.19497 0.6 0.7 0.8 0.28814 0.29103 0.9 1 0.34134 1.1 0.36433 1.2 0.38493 1.3 0.4032 0.4049 0.40658 0.40824 0.40988 1.4 0.41924 1.5 0.43319 1.6 0.4452 1.7 0.45543 1.8 0.46407 1.9 0.47128 2 2.1 0.47725 0.48214 2.2 0.4463 0.44738 0.45637 0.45728 0.46485 0.46562 0.47193 0.47257 0.47778 0.47831 0.48257 0.483 0.4861 0.48645 0.48679 2.3 0.48928 0.48956 0.48983 2.4 0.4918 0.49202 0.49224 2.5 0.49379 2.6 0.49534 2.7 0.49653 2.8 0.49744 0.49752 0.4976 0.49396 0.49413 0.4943 0.49547 0.4956 0.49573 0.49664 0.49674 0.49683 0.49767 2.9 0.49813 3 0.49865 3.1 3.2 3.3 0.04 0.08 0.01197 0.01595 0.01994 0.02392 0.0279 0.03188 0.03586 0.05172 0.05567 0.05962 0.06356 0.06749 0.07142 0.07535 0.09095 0.09483 0.09871 0.10257 0.10642 0.11026 0.11409 0.1293 0.13307 0.13683 0.14058 0.14431 0.14803 0.15173 0.15542 0.1591 0.16276 0.1664 0.17003 0.17364 0.19847 0.20194 0.2054 0.20884 0.21226 0.21566 0.21904 0.2224 0.22575 0.22907 0.23237 0.23565 0.23891 0.24215 0.24537 0.24857 0.25175 0.2549 0.25804 0.26115 0.26424 0.2673 0.27035 0.27337 0.27637 0.27935 0.2823 0.28524 0.29389 0.29673 0.29955 0.30234 0.30511 0.30785 0.31057 0.31327 0.31594 0.31859 0.32121 0.32381 0.32639 0.32894 0.33147 0.33398 0.33646 0.33891 0.34375 0.34614 0.34849 0.35083 0.35314 0.35543 0.35769 0.35993 0.36214 0.3665 0.36864 0.37076 0.37286 0.37493 0.37698 0.379 0.381 0.38298 0.38686 0.38877 0.39065 0.39251 0.39435 0.39617 0.39796 0.39973 0.40147 0.41308 0.41466 0.41621 0.42073 0.4222 0.42364 0.42507 0.42785 0.42922 0.43056 0.43189 0.43448 0.43574 0.43699 0.43822 0.43943 0.44062 0.44179 0.44295 0.44408 0.44845 0.4495 0.45053 0.45154 0.45254 0.45352 0.45449 0.45818 0.45907 0.45994 0.4608 0.46164 0.46246 0.46327 0.46638 0.46712 0.46784 0.46856 0.46926 0.46995 0.47062 0.4732 0.47381 0.47441 0.475 0.47558 0.47615 0.4767 0.47882 0.47932 0.47982 0.4803 0.48077 0.48124 0.48169 0.48341 0.48382 0.48422 0.48461 0.485 0.48537 0.48574 0.48713 0.48745 0.48778 0.48809 0.4884 0.4887 0.48899 0.4901 0.49036 0.49061 0.49086 0.49111 0.49134 0.49158 0.49245 0.49266 0.49286 0.49305 0.49324 0.49343 0.49361 0.49446 0.49461 0.49477 0.49492 0.49506 0.4952 0.49585 0.49598 0.49609 0.49621 0.49632 0.49643 0.49693 0.49702 0.49711 0.4972 0.49774 0.49781 0.49788 0.49795 0.49819 0.49825 0.49831 0.49836 0.49841 0.49846 0.49851 0.49869 0.49874 0.49903 0.49906 0.4991 0.49931 0.49934 0.49936 0.49952 0.05 0.06 0.07 0.09 0.17724 0.18082 0.18439 0.18793 0.41149 0.42647 0.41774 0.49728 0.49736 0.49801 0.49807 0.49856 0.49861 3.4 3.5 3.6 3.7 3.8 3.9 4.0 0.49878 0.49882 0.49886 0.49889 0.49893 0.49896 0.499 0.49913 0.49916 0.49918 0.49921 0.49924 0.49926 0.49929 0.49938 0.4994 0.49942 0.49944 0.49946 0.49948 0.4995 0.49953 0.49955 0.49957 0.49958 0.4996 0.49961 0.49962 0.49964 0.49965 0.49966 0.49968 0.49969 0.4997 0.49971 0.49972 0.49973 0.49974 0.49975 0.49976 0.49977 0.49978 0.49978 0.49979 0.4998 0.49981 0.49981 0.49982 0.49983 0.49983 0.49984 0.49985 0.49985 0.49986 0.49986 0.49987 0.49987 0.49988 0.49988 0.49989 0.49989 0.4999 0.4999 0.4999 0.49991 0.49991 0.49992 0.49992 0.49992 0.49992 0.49993 0.49993 0.49993 0.49994 0.49994 0.49994 0.49994 0.49995 0.49995 0.49995 0.49995 0.49995 0.49996 0.49996 0.49996 0.49996 0.49996 0.49996 0.49997 0.49997 0.49997 0.49997 0.49997 0.49997 0.49997 0.49997 0.49998 0.49998 0.49998 0.49998
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