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5.3.35 i Question Help The average time spent sleeping (in hours) for a group of medical residents at a hospital can be approximated by a normal distribution, as shown in the graph to the right Answer parts (a) and (b) below Sleeping Times of Medical Residents 6.5 hours Click to view page 1 of the table Click to view page 2 of the table Hours (a) What is the shortest time spent sleeping that would still place a resident in the top 5% of sleeping times? Residents who get at least 863 hours of sleep are in the top 5% of sleeping times (Round to two decimal places as needed ) (b) Between what two values does the middle 50% of the sleep times lie? The middle 50% of sleep times lies between hours on the low end and hours on the high end (Round to two decimal places as needed) tion
5.3.31 Question Help : * In a survey of women in a certain country (ages 20-29), the mean height was 66.4 inches with a standard deviation of 2 82 inches. Answer the following questions about the specified normal distribution (a) What height represents the 95th percentile? (b) What height represents the first quartile? Click to view page 1 of the table, Click to view page 2 of the table (e) The height that represents the 95th percentile is inches. (Round to two decimal places as needed) (5.3
Standard Normal Table (Page 1) 04 3.4 0.0002 00003 0,0003 0,0003 0 0003 0.0003 0.0003 0.0003 0.0003 0.0003 3.3 0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 0.0005 0.0005 0.0006 0.0006 0.0007 0.0007 -3.1 0.0007 0.0007 0.0008 0.0008 0.0008 00008 0.0009 0.0009 00009 0.0010 3.0 0.0010 0.0010 0.001 0.0011 0.0011 00012 0.0012 0.0013 0.0013 0.0013 -2.9 0.0014 0 0014 0.0015 0.0015 0.0016 0.0016 0.0017 0.0018 0.0018 0.0019 -2.8 0.0019 0.0020 0.0021 0.0021 0.0022 0.0023 0 0023 0.0024 0.0025 0.0026 033 0 0034 O 0035 2.6 10 0036 0 0037 0 0038 0 0039 0 0040 0 0041 0 0043 0 0044 0 0045 0 0047 -2.5 0.0048 0.0049 0.0051 0.0052 0.0054 0.0055 0 0057 0.0059 0.0060 0.0062 -2.4 0.0064 0.0066 0.0068 0.0069 0.0071 0.0073 0.0075 0.0078 0.0080 0.0082 2.3 00084 0.0087 0.0089 0.0091 0.0094 0.0096 0.0099 00102 0.0104 0.0107 2.2 0.0110 0.0113 0.0116 00119 0 0122 0 0125 00129 0.0132 0.0136 0.0139 2.1 0.0143 0.0146 0.0150 0.0154 00158 0 0162 0.0166 0.0170 0.0174 0.0179 2.0 0.0183 0.0188 0.0192 0.0197 0.0202 0.0207 0.0212 0.0217 0.0222 00228 1.9 0.0233 0.0239 0.0244 0.0250 0 0256 0 0262 0.0268 0.0274 0.0281 0.0287 -1.80.0294 0.0301 0.0307 0.0314 0.0322 0.0329 0.0336 0.0344 00351 0.0359 1.7 0.0367 0.0375 0.0384 0.0392 00401 0.0409 0.0418 0.0427 0.0436 0.0446 -1.6 0.0455 0.0465 0.0475 0.0485 00495 0.0505 00516 0.0526 0.0537 0.0548 -1.5 0.0559 00571 0.0582 0.0594 0.0606 0 0618 0 0630 0.0643 0.0655 0.0668 1.4 0.0681 0.0694 0.0708 0.0721 00735 0.0749 0.0764 0.0778 0.0793 0.0808 1.3 0.0823 0.0838 0.0853 0.0869 0.0885 0.0901 0.0918 0.0934 0.0951 0.0968 1.2 0.0985 0.1003 0 1020 0.1038 0.1056 0.1075 0.1093 0.1112 0.1131 0.1151 1.1 l0.1170 0.1190 0.1210 0.1230 0.1251 0.1271 0.1292 0.1314 0.1335 0.1357 -3.2 0.0005 0.0005 0.0005 0.0006 0.0006 00006 2.7 0.0026 0 0027 0.0028 0 0029 0.0030 0.0031 0.0032 0.0
Standard Normal Table (Page 1) 2.3 0.0084 0.0087 0.0089 0.0091 0.0094 0.0096 0.0099 0.0102 0.0104 0.0107 2.2 0.0110 0.0113 0.0116 0.0119 0.0122 0 0125 0.0129 0.0132 0.0136 0.0139 2.1 0.0143 0.0146 0.0150 0.0154 0.0158 0.0162 0.0166 0.0170 0.0174 0.0179 2.0 0.0183 0.0188 0.0192 0.0197 0.0202 0.0207 0.0212 0.0217 00222 0.0228 1.9 0.0233 0.0239 0.0244 0.0250 0.0256 0.0262 0.0268 0.0274 0.0281 0.0287 1.8 0.0294 0.0301 0.0307 0.0314 0.0322 0 .0329 0.0336 0.0344 0 0351 0.0359 1.70.0367 0.0375 0.0384 0.0392 0.0401 0.0409 0.0418 0.0427 00436 0.0446 1.6 0.0455 0.0465 0.0475 0.0485 0.0495 00505 00516 0.0526 0.0537 0.0548 1.5 0.0559 0.0571 0.0582 00594 0.0606 0.0618 0.0630 0.0643 0.0655 0.0668 1.4 0.0681 0.0694 0.0708 0.0721 0.0735 0.0749 0.0764 0.0778 0.0793 0.0808 1.3 0.0823 0.0838 0 0853 0.0869 0.0885 0.0901 0.0918 0.0934 0.0951 0.0968 1.2 0.0985 0.1003 0.1020 0.1038 0. 1056 0.1075 0.1093 0.1112 0.1131 0.1151 1.1 0.1170 0.1190 0.1210 0.1230 0.1251 0.1271 0.1292 0.1314 0.1335 0.1357 1.0 0.1379 0.1401 0.1423 0.1446 0.1469 0.1492 0.1515 0.1539 0.1562 0.1587 0.9 0.1611 0.1635 0.1660 0.1685 0.1711 0.173 0.1762 0.1788 0.1814 0.1841 0.8 0.1867 0.1894 0.1922 0.1949 0. 1977 02005 02033 0 2061 0.2090 0.2119 0.7 0.2148 0.2177 0.2206 0.2236 0.2266 0.2296 0.2327 0.2358 0.2389 0.2420 0.6 0.2451 0.2483 0.2514 0.2546 0.2578 0.2611 0.2643 0.2676 0.2709 0.2743 0.5 0.2776 0.2810 0.2843 0.2877 0 2912 0 2946 0 2981 0.3015 0.3050 0.3085 0.4 0.3121 0.3156 0.3192 0.3228 0.3264 0.3300 0.3336 0.3372 0.3409 0.3446 0.3 0.3483 0.3520 0.3557 0.3594 0.3632 0.3669 0.3707 0.3745 0.3783 0.3821 0.2 0.3859 0.3897 0.3936 0.3974 0.4013 0.4052 0.4090 0.4129 0.4168 0.4207 0.1 0.4247 0.4286 0 4325 0.4364 0.4404 0.4443 0.4483 0.4522 0.4562 0.4602 0.0 0.4641 0.4681 0.4721 0.4761 0.4801 0.4840 0.4880 0 4920 0.4960 0 5000 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.00
Standard Normal Table (Page 2) Z 0.00 001 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 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 06591 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 o.7357 0.7389 0 7422 0.7454 0.7486 0.7517 0.7549 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 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 08749 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 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 09332 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 2.1 09821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.2 0.9861 09864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.991
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