Assume that human body temperatures are normally distributed with a mean of 98.21°F and a standard deviation of 0.61°F. a. A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6°F is appropriate? b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.) Click to view page 1 of the table. Click to view page 2 of the table. Standard Normal Table (Page 1) a. The percentage of normal and healthy persons considered to have a fever is 0.01 %. (Round to two decimal places as needed.) Does this percentage suggest that a cutoff of 100.6°F is appropriate? OA. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever. OB. No, because there is a small probability that a normal and healthy person would be considered to have a fever. OC. No, because there is a large probability that a normal and healthy person would be considered to have a fever. OD. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever. NEGATIVE z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT .00 .01 .02 .03 .05 .06 07 08 -3.50 and lower 0001 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 0005 0005 -31 0010 .0009 .0009 .0009 0008 .0008 0008 0007 0007 -3.0 0013- .0013 0013 0012 .0012 .com .com .com 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 -27 .0035 0034 0033 .0032 0031 0030 0029 0028 0027 0026 -2.6 .0047 .0045 0044 0043 .0040 0039 0038 .0037 0036 -2.5 .0062 .0060 .0059 0057 .0055 .0054 d052 .0051 • 0049 0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 0069 .0068 A0066 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 -21 0179 .0174 0170 .0166 0162 0158 0154 0150 0146 0143 -20 0226 0222 .0217 0212 0207 0202 0197 0192 0188 0183 -19 .0281 0274 .0268 0262 .0256 0250 0244 0239 0233 -1.8 .0359 .0351 .0344 0336 0329 0322 0314 .0307 0301 -17 0446 0436 0427 0418 0409 0401 .0392 0384 0375 0367 -16 0548 0537 0526 0516 ⚫ 0495 0465 0455 -15 .0655 0643 0630 0618 A.0606 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 -12 1151 .1151 1112 1093 3075 1056 1038 1020 1003 0985 -11 1357 1335 1314 1292 1271 1251 1230 1210 1190 1170 -1.0 1587 1562 1539 1515 3492 1469 3446 1423 3401 1379 -0.9 1841 1814 1788 1762 1736 1711 1685 1635 -0.8 2119 2090 2061 2033 2005 1977 1949 1922 1894 -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 Standard Normal Table (Page 2) POSITIVE z Scores 0 Z Standard Normal (z) Distribution: Cumulative Area from the LEFT Z .00 .01 02 .03 .04 .05 .06 .07 .08 .09 0.0 5000 5040 5080 5120 5160 5199 .5239 5279 .5319 5359 0.1 5398 5438 5478 5517 .5557 5596 .5636 5675 5714 5753 0.2 .5793 5832 5871 5910 .5948 5987 .6026 6064 .6103 .6141 0.3 6179 6217 .6255 .6293 .6331 .6368 .6406 .6443 6480 .6517 0.4 6554 6591 .6628 .6664 .6700 .6736 .6772 .6808 6844 .6879 0.5 6915 .6950 .6985 .7019 .7054 .7088 .7123 7157 .7190 .7224 0.6 .7257 7291 .7324 .7357 7389 .7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 7794 .7823 .7852 0.8 7881 7910 7939 .7967 .7995 .8023 .8051 8078 .8106. 8133 0,9 8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 1.0 .8413 8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 1.1 .8643 8665 8686 .8708 8729 .8749 .8770 .8790 .8810 .8830 1.2 .8849 8869 8888 8907 .8925 8944 .8962 8980 .8997 .9015 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.4 .9192 9207 9222 .9236 .9251 .9265 .9279 .9292 9306 .9319 1.5 .9332 9345 9357 .9370 .9382 .9394 .9406 9418 9429 .9441 1.6 9452 9463 9474 9484 .9495 • .9505 .9515 .9525 .9535 9545 1.7 .9554 .9564 .9573 9582 .9591 .9599 .9608 .9616 .9625 .9633 1.8 .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