2-0.81NEGATIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT Z 00 .01 02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower .0001 -3.4 .0003 0003 0003 0003 0003 .0003 0003 0003 0003 0002 -3.3 0005 0005 0005 .0004 0004 0004 0004 0004 .0004 0003 -3.2 .0007 0007 0006 .0006 0006 .0006 0006 .0005 .0005 .0005 -3.1 0010 0009 0009 .0009 .0008 .0008 0008 0008 0007 .0007 -3.0 0013 0013 0013 .0012 0012 .0011 0011 0010 .0010 -2.9 .0019 0018 .0018 .0017 0016 .0016 0015 .0015 .0014 .0014 -2.8 .0026 0025 0024 .0023 .0023 .0022 .0021 0021 .0020 .0019 -2.7 .0035 0034 .0033 .0032 .0031 .0030 0029 .0028 0027 .0026 -2.6 .0047 0045 0044 .0043 .0041 .0040 0039 .0038 .0037 .0036 -2.5 .0062 0060 0059 .0057 .0055 .0054 .0052 .0051 *0049 .0048 -2.4 .0082 0080 0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 0104 .0102 .0099 .0096 .0094 0091 .0089 .0087 .0084 -2.2 .0139 0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 -2.1 .0179 0174 0170 .0166 0162 .0158 0154 .0150 0146 .0143 -2.0 .0228 0222 .0217 0212 0207 .0202 0197 .0192 .0188 .0183-1.9 .0287 0281 .0274 0268 .0262 .0256 0250 0244 .0239 .0233 -1.8 0359 .0351 .0344 .0336 .0329 .0322 .0314 0307 .0301 .0294 -1.7 0446 0436 0427 .0418 0409 0401 0392 0384 .0375 0367 -1.6 0548 0537 0526 0516 0505 * .0495 0485 .0475 .0465 .0455 -1.5 .0668 0655 0643 0630 .0618 .0606 0594 0582 .0571 .0559 -1.4 0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681 -1.3 0968 .0951 0934 .0918 0901 .0885 0869 .0853 0838 .0823 -1.2 .1151 .1131 .1112 1093 .1075 1056 .1038 1020 1003 .0985 -1.1 .1357 .1335 1314 1292 .1271 .1251 1230 1210 1190 .7170 -1.0 .1587 .1562 1539 1515 1492 1469 1416 .1423 1401 .1379 -0.9 .1841 1814 1788 1762 .1736 .1711 .1685 .1660 1635 .1611 -0.8 2119 2090 2061 2033 2005 1977 .1949 1922 .1894 1867 -0.7 2420 2389 2358 2327 .2296 .2266 2236 .2206 2177 .2148 -0.6 2743 2709 2676 2643 2611 .2578 2546 2514 .2483 2451 -0.5 .3085 3050 .3015 .2981 .2946 .2912 2877 .2843 2810 .2776 -0.4 3446 3409 3372 3336 3300 .3264 3228 .3192 3156 .3121 -0.3 3821 3783 3745 3707 3669 3632 3594 3557 3520 3483 -0.2 4207 .4168 4129 4090 4052 .4013 3974 3936 .3897 .3859 -0.1 .4602 4562 .4522 .4483 .4443 .4404 4364 .4325 .4286 .4247 -0.0 .5000 -4960 .4920 .4880 -4840 4801 .4761 4721 .4681 .4641 NOTE: For values of z below -3.49, use 0,0001 for the area. "Use these common values that result from interpolation: z score Area -1.645 0.0500 -2.575 0.00502= -0.94 Z = 1.23\fSketch the region containing the lowest 13% and highest 13%. Choose the correct graph below. on. 03. QC. on. it: A; A; 4Q; 5:913 Find the indicated critical value. Zo. 10NEGATIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT 2 00 .01 02 .03 .04 05 .06 .07 .08 .09 -3.50 and lower .0001 -3.4 .0003 0003 0003 0003 0003 .0003 0003 0003 0003 0002 -3.3 .0005 0005 .0005 0004 0004 .0004 0004 .0004 .0004 .0003 -3.2 .0007 0007 0006 .0006 0006 .0006 0006 0005 .0005 .0005 -3.1 0010 0009 0009 .0009 0008 .0008 0008 .0008 0007 0007 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0010 .0010 -2.9 .0019 0018 0018 .0017 0016 .0016 0015 .0015 0014 .0014 -2.8 .0026 .0025 .0024 0023 .0023 .0022 -0021 .0021 .0020 .0019 -2.7 .0035 0034 .0033 .0032 0031 .0030 .0029 .0028 0027 .0026 -2.6 .0047 .0045 0044 .0043 0041 .0040 0039 .0038 .0037 0036 -2.5 .0062 0060 .0059 .0057 .0055 .0054 .0052 .0051 * .0049 .0048 -2.4 .0082 0080 0078 .0075 .0073 .0071 0069 .0068 .0066 .0064 -2.3 .0107 0104 0102 .0099 0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 .0136 .0132 0129 .0125 .0122 .0119 .0116 .0113 .0110 -2.1 .0179 .0174 0170 0166 0162 .0158 0154 0150 .0146 .0143 -2.0 0228 .0222 0217 0212 0207 .0202 0197 .0192 0188 .0183-1.9 .0287 0281 0274 .0268 .0262 .0256 0250 0244 .0239 .0233 -1.8 .0359 0351 .0344 0336 .0329 .0322 .0314 0307 .0301 .0294 -1.7 0446 0436 0427 .0418 0409 .0401 0392 0384 .0375 0367 -1.6 .0548 0537 0526 0516 .0505 * .0495 0485 0475 .0465 0455 -1.5 .0668 0655 .0643 .0630 0618 .0606 0594 .0582 .0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 0694 .0681 -1.3 .0968 0951 0934 .0918 0901 .0885 .0869 0853 0838 0823 -1.2 .7151 1131 1112 1093 1075 .1056 1038 1020 1003 0985 -1.1 .1357 1335 1314 1292 1271 .1251 .1230 1210 1190 .1170 -1.0 .1587 1562 1539 .1515 1492 .1469 1446 1423 1401 .1379 -0.9 1841 1814 1788 1762 .1736 .1711 .1685 .1660 1635 1611 -0.8 .2119 2090 2061 2033 2005 .1977 .1949 1922 1894 1867 -0.7 2420 2389 2358 2327 2296 .2266 2236 2206 2177 2148 -0.6 2743 2709 2676 2643 2611 .2578 2546 2514 .2483 2451 -0.5 .3085 3050 .3015 .2981 .2946 .2912 2877 .2843 2810 .2776 -0.4 .3446 3409 .3372 .3336 .3300 .3264 .3228 3192 .3156 .3121 -0.3 .3821 3783 3745 3707 -3669 .3632 3594 3557 3520 3483 -0.2 4207 4168 4129 4090 4052 .4013 3974 3936 .3897 .3859 -0.1 .4602 4562 .4522 .4483 -4443 .4404 4364 .4325 .4286 .4247 -0.0 .5000 -4960 .4920 .4880 -4840 .4801 4761 .4721 .4681 .4641 NOTE: For values of z below -3.49, use 0,0001 for the area. "Use these common values that result from interpolation: z score Area -1.645 0.0500 -2.575 0.0050\f1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 9693 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 2.2 9861 9864 9868 9871 9875 9878 .9881 .9884 9887 9890 2.3 9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 .9918 .9920 9922 .9925 .9927 .9929 .9931 .9932 9934 .9936 2.5 .9938 9940 9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 .9956 9957 .9959 9960 .9961 9962 .9963 9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 9973 .9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 9980 .9981 2.9 9981 9982 9982 9983 .9984 .9984 .9985 9985 9986 9986 3.0 .9987 9987 9987 9988 .9988 .9989 9989 .9989 .9990 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 9992 .9993 .9993 3.2 .9993 9993 9994 9994 .9994 .9994 .9994 .9995 .9995 9995 3.3 9995 .9995 .9995 9996 .9996 .9996 .9996 .9996 9996 .9997 34 9997 .9997 9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998 3.50 .9999 and up NOTE: For values of z above 3.49, use 0.9999 for the area. Common Critical Value "Use these common values that result from interpolation: Confidence | Critical z score Area Level Value 1.645 0.9500 0.90 1,645 2.575 0.9950 0.95 1.96 0.99 2.575(X - H) What are the values of the mean and standard deviation after converting all pulse rates of women to z scores using z = H = O =Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.\fNEGATIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT Z 00 .01 02 03 .04 .05 .06 .07 08 .09 -3.50 and lower 0001 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 0003 .0003 .0003 .0002 -3.3 .0005 0005 .0005 .0004 .0004 .0004 0004 .0004 0004 .0003 -3.2 .0007 .0007 .0006 .0006 0006 .0006 .0006 .0005 .0005 0005 -31 0010 0009 0009 .0009 .0008 .0008 0008 0008 0007 0007 -3.0 .0013 0013 .0013 .0012 .0012 .0011 0011 0010 .0010 -2.9 .0019 0018 .0018 .0017 0016 .0016 0015 .0015 0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 0021 .0021 .0020 .0019 -2.7 .0035 0034 .0033 .0032 0031 .0030 .0029 .0028 0027 .0026 -2.6 .0047 0045 .0044 .0043 .0041 0040 0039 0038 .0037 0036 -2.5 .0062 .0060 .0059 .0057 0055 .0054 0052 .0051 0049 .0048 -2.4 .0082 .0080 .0078 .0075 -0073 .0071 0069 .0068 .0066 .0064 -2.3 .0107 0104 .0102 .0099 .0096 .0094 0091 .0089 .0087 .0084 -2.2 .0139 0136 .0132 .0129 .0125 .0122 0119 .0116 0113 .0110 -2.1 .0179 .0174 .0170 .0166 0162 .0158 .0154 .0150 0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 0197 0192 0188 .0183-1.9 0287 0281 0274 0268 0262 0256 0250 0244 0239 0233 -1.8 .0359 0351 .0344 .0336 .0329 .0322 0314 .0307 .0301 .0294 -1.7 0446 0436 0427 .0418 0409 .0401 0392 .0384 .0375 .0367 -1.6 .0548 0537 .0526 .0516 .0505 * .0495 0485 0475 .0465 .0455 -1.5 0668 0655 0643 .0630 .0618 .0606 0594 0582 .0571 .0559 -1.4 0808 0793 .0778 0764 .0749 .0735 0721 .0708 0694 .0681 -1.3 0968 0951 0934 .0918 0901 .0885 0869 0853 0838 0823 -1.2 .7151 .1131 .1712 1093 1075 .1056 .1038 .1020 1003 .0985 -1,1 .1357 1335 1314 .1292 .1271 .1251 .1230 .1210 1190 .1170 -1.0 .1587 .1562 .1539 .1515 1492 .1469 1446 .1423 1401 .1379 -0.9 .1841 1814 1788 1762 1736 1711 .1685 1660 1635 1611 -0.8 .2119 2090 2061 2033 .2005 1977 1949 1922 1894 1867 -0.7 .2420 2389 2358 2327 .2296 .2266 2236 .2206 2177 .2148 -0.6 .2743 2709 2676 2643 .2611 .2578 2546 .2514 .2483 2451 -0.5 3085 3050 3015 2981 .2946 .2912 2877 .2843 2810 2776 -0.4 .3446 3409 .3372 3336 3300 .3264 3228 3192 3156 .3121 -0.3 .3821 3783 3745 3707 .3669 .3632 3594 .3557 3520 3483 -0.2 .4207 4168 .4129 4090 .4052 .4013 .3974 .3936 .3897 .3859 -0.1 .4602 .4562 .4522 .4483 .4443 .4404 4364 .4325 4286 .4247 -0.0 .5000 4960 .4920 .4880 -4840 .4801 .4761 .4721 .4681 .4641 NOTE: For values of z below -3.49, use 0,0001 for the area. "Use these common values that result from interpolation: z score Area -1.645 0.0500 -2.575 0.0050\f1.8 .9641 .9649 .9656 .9564 .9571 .96/8 .9686 9695 .9699 .9706 1.9 9713 .9719 .9726 9732 9738 .9744 .9750 9756 9761 .9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 2.2 .9861 9864 9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 .9918 9920 9922 .9925 .9927 .9929 .9931 .9932 9934 .9936 2.5 9938 9940 9941 9943 9945 .9946 9948 9949 9951 .9952 2.6 9953 9955 9956 9957 9959 9960 9961 9962 9963 9964 2.7 .9965 .9966 9967 9968 9969 .9970 .9971 9972 9973 .9974 2.8 9974 .9975 .9976 9977 .9977 .9978 9979 9979 9980 .9981 2.9 .9981 ,9982 .9982 .9983 .9984 .9984 .9985 9985 9986 .9986 3.0 .9987 .9987 9987 9988 .9988 .9989 .9989 .9989 .9990 .9990 3.1 9990 .9991 .9991 .9991 .9992 .9992 .9992 9992 .9993 9993 3.2 .9993 9993 9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 3.3 .9995 .9995 .9995 9996 .9996 .9996 .9996 .9996 9996 9997 3.4 .9997 9997 9997 .9997 9997 .9997 9997 9997 .9997 9998 3.50 .9999 and up NOTE: For values of z above 3.49, use 0.9999 for the area. Common Critical Valu "Use these common values that result from interpolation: Confidence | Critical z score Area Level Value 1.645 0.9500 0.90 1,645 2.575 0.9950 0.95 1.96 0.99 2.575Three randomly selected children are surveyed. The ages of the children are 1, 2, and 12. Assume that samples of size n = 2 are randomly selected with replacement from the population of 1, 2, and 12. Listed below are the nine different samples. Complete parts (a) through (d). 1,1 1,2 1,12 2,1 2,2 2,12 12,1 12,2 12,12a. Find the value of the population variance o. (Round to three decimal places as needed.)