Areas under the Normal Curve 國 口≡ Z z .02 .04 0.0003 0.0004 0.0006 0.0043 0.0041 0.0057 0.0055 0.0075 0.0073 .00 .01 .03 -3.4 0.0003 0.0003 0.0003 0.0003 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 -2.6 0.0047 0.0045 0.0044 0.0040 0.0039 -2.5 0.0062 0.0060 0.0059 0.0054 0.0052 -2.4 0.0082 0.0080 0.0078 0.0071 0.0069 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 .05 .06 0.0003 0.0003 0.0004 0.0004 .07 .08 .09 0.0003 0.0003 0.0002 0.0015 0.0014 0.0014 0.0021 0.0020 0.0019 0.0028 0.0027 0.0026 0.0038 0.0037 0.0036 0.0051 0.0049 0.0048 0.0068 0.0066 0.0064 0.0089 0.0087 0.0084 0.0116 0.0113 0.0110 0.0150 0.0146 0.0143 0.0192 0.0188 0.0183 0.0244 0.0239 0.0233 0.0307 0.0301 0.0294 0.0384 0.0375 0.0367 0.0475 0.0465 0.0455 0.0582 0.0571 0.0559 1.1 0.0708 0.0694 0.0681 2.1 2.2 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 k -0.8 0.2119 0.2090 0.2061 -0.7 0.2420 0.2389 0.2358 -0.6 0.2743 0.2709 0.2676 -0.5 0.3085 0.3050 0.1190 0.1170 0.1379 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4286 0.4247 0.4681 0.4641 B'C' + E Areas under the Normal Curve .06 .07 .08 0.5239 0.5279 0.5319 0.5359 0.5636 0.5675 0.5714 0.5753 0.6064 0.6103 0.6141 .09 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8907 0.8925 0.8944 0.8962 .00 .01 .02 .03 .04 .05 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 2.4 0.9918 2.5 0.9938 2.6 3.3 3.4 A UCLA researcher claims that the life span of mice can be extended by as much as 25% when the calories in their diet are reduced by approximately 40% from the time they are weaned. The restricted diet is enriched to normal levels by vitamins and protein. Assuming that it is known from previous studies that σ = 5.6 months, how many mice should be included in the sample if we wish to be 99% confident that the mean life span of the sample will be within 2 months of the population mean for all mice subjected to this reduced diet? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The required sample size is 53 (Round up to the nearest whole number as needed.)
Areas under the Normal Curve 國 口≡ Z z .02 .04 0.0003 0.0004 0.0006 0.0043 0.0041 0.0057 0.0055 0.0075 0.0073 .00 .01 .03 -3.4 0.0003 0.0003 0.0003 0.0003 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 -2.6 0.0047 0.0045 0.0044 0.0040 0.0039 -2.5 0.0062 0.0060 0.0059 0.0054 0.0052 -2.4 0.0082 0.0080 0.0078 0.0071 0.0069 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 .05 .06 0.0003 0.0003 0.0004 0.0004 .07 .08 .09 0.0003 0.0003 0.0002 0.0015 0.0014 0.0014 0.0021 0.0020 0.0019 0.0028 0.0027 0.0026 0.0038 0.0037 0.0036 0.0051 0.0049 0.0048 0.0068 0.0066 0.0064 0.0089 0.0087 0.0084 0.0116 0.0113 0.0110 0.0150 0.0146 0.0143 0.0192 0.0188 0.0183 0.0244 0.0239 0.0233 0.0307 0.0301 0.0294 0.0384 0.0375 0.0367 0.0475 0.0465 0.0455 0.0582 0.0571 0.0559 1.1 0.0708 0.0694 0.0681 2.1 2.2 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 k -0.8 0.2119 0.2090 0.2061 -0.7 0.2420 0.2389 0.2358 -0.6 0.2743 0.2709 0.2676 -0.5 0.3085 0.3050 0.1190 0.1170 0.1379 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4286 0.4247 0.4681 0.4641 B'C' + E Areas under the Normal Curve .06 .07 .08 0.5239 0.5279 0.5319 0.5359 0.5636 0.5675 0.5714 0.5753 0.6064 0.6103 0.6141 .09 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8907 0.8925 0.8944 0.8962 .00 .01 .02 .03 .04 .05 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 2.4 0.9918 2.5 0.9938 2.6 3.3 3.4 A UCLA researcher claims that the life span of mice can be extended by as much as 25% when the calories in their diet are reduced by approximately 40% from the time they are weaned. The restricted diet is enriched to normal levels by vitamins and protein. Assuming that it is known from previous studies that σ = 5.6 months, how many mice should be included in the sample if we wish to be 99% confident that the mean life span of the sample will be within 2 months of the population mean for all mice subjected to this reduced diet? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The required sample size is 53 (Round up to the nearest whole number as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
I need to solve this please
Transcribed Image Text:Areas under the Normal Curve
國
口≡
Z
z
.02
.04
0.0003
0.0004
0.0006
0.0043 0.0041
0.0057 0.0055
0.0075 0.0073
.00
.01
.03
-3.4 0.0003 0.0003 0.0003 0.0003
-3.3 0.0005 0.0005 0.0005 0.0004
0.0004 0.0004 0.0003
-3.2 0.0007 0.0007 0.0006 0.0006
0.0006 0.0006 0.0005 0.0005 0.0005
-3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007
-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010
-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015
-2.8 0.0026 0.0025 0.0024
0.0023 0.0023 0.0022 0.0021
-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029
-2.6 0.0047 0.0045 0.0044
0.0040 0.0039
-2.5 0.0062 0.0060 0.0059
0.0054 0.0052
-2.4 0.0082 0.0080 0.0078
0.0071 0.0069
-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091
-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119
-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154
-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197
-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250
-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314
-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392
-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485
-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594
-1.4 0.0808 0.0793 0.0778 0.0764 0.0749
0.0735 0.0721
-1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823
-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
-1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210
.05
.06
0.0003 0.0003
0.0004 0.0004
.07
.08
.09
0.0003
0.0003 0.0002
0.0015 0.0014 0.0014
0.0021 0.0020 0.0019
0.0028 0.0027
0.0026
0.0038 0.0037 0.0036
0.0051 0.0049 0.0048
0.0068 0.0066 0.0064
0.0089 0.0087 0.0084
0.0116 0.0113 0.0110
0.0150 0.0146 0.0143
0.0192 0.0188 0.0183
0.0244 0.0239 0.0233
0.0307 0.0301 0.0294
0.0384 0.0375 0.0367
0.0475 0.0465 0.0455
0.0582 0.0571 0.0559
1.1
0.0708 0.0694 0.0681
2.1
2.2
-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401
k
-0.8 0.2119 0.2090 0.2061
-0.7 0.2420 0.2389 0.2358
-0.6 0.2743 0.2709 0.2676
-0.5 0.3085 0.3050
0.1190 0.1170
0.1379
-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611
0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867
0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148
0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451
0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776
-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121
-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483
-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859
-0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325
-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721
0.4286 0.4247
0.4681 0.4641
B'C'
+ E
Areas under the Normal Curve
.06
.07
.08
0.5239 0.5279 0.5319 0.5359
0.5636 0.5675 0.5714 0.5753
0.6064 0.6103 0.6141
.09
0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770
0.8907 0.8925 0.8944 0.8962
.00
.01
.02
.03
.04
.05
0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199
0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596
0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026
0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517
0.4 0.6554 0.6591 0.6628
0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879
0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224
0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549
0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852
0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133
0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389
1.0 0.8413 0.8438 0.8461
0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621
0.8790 0.8810 0.8830
1.2 0.8849 0.8869 0.8888
0.8980 0.8997 0.9015
1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177
1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
1.5 0.9332 0.9345 0.9357
0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441
1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545
1.7
0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633
1.8 0.9641
0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706
1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767
2.0
0.9772
0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817
0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857
0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890
2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916
0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936
0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952
0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964
2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974
2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981
2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986
3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990
3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993
3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995
0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997
0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998
2.4 0.9918
2.5 0.9938
2.6
3.3
3.4
Transcribed Image Text:A UCLA researcher claims that the life span of mice can be extended by as much as 25% when the calories in their diet are reduced by approximately 40% from the
time they are weaned. The restricted diet is enriched to normal levels by vitamins and protein. Assuming that it is known from previous studies that σ = 5.6 months, how
many mice should be included in the sample if we wish to be 99% confident that the mean life span of the sample will be within 2 months of the population mean for all
mice subjected to this reduced diet?
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
The required sample size is 53
(Round up to the nearest whole number as needed.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
