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. 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? A. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever. B. No, because there is a small probability that a normal and healthy person would be considered to have a fever. C. No, because there is a large probability that a normal and healthy person would be considered to have a fever. D. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever. Standard Normal Table (Page 1) NEGATIVE z Scores ° Standard Normal (z) Distribution: Cumulative Area from the LEFT .04 .05 .06 .07 .00 01 02 09 -3.50 and lower 0001 -3.4 .0003 .0003 0003 0003 0003 0003 0003 .0003 0003 0002 .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 0007 -3.0 0013 0013 0013 0.0012 .com .com .com 0010 0010 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 .0062 .0060 0059 0057 0055 .0054 .0052 .0051 0049 0048 -2.4 .0082 .0080 0078 .0075 0073 .0071 0069 0068 A .0066 .0064 -23 0107 0104 0102 .0099 0096 .0094 0091 0089 0087 0084 -22 0139 0136 0132 0129 0122 019 0116 on3 0110 -21 0179 0174 0170 0162 0158 0154 0150 0146 0143 0228 0222 0217 0212 0207 .0202 0197 0192 0188 0183 -1.9 .0287 0281 0274 0268 0262 .0256 0250 .0244 0239 -18 0359 0351 .0344 .0336 0329 .0322 0314 0307 0301 -17 0446 0427 0418 0409 0392 0384 0375 0367 -16 0548 0537 0526 0516 0505 . .0495 0485 0475 .0465 0455 -1.5 .0668 0655 0643 .0630 0618 A.0606 0594 0582 0571 0559 -1.4 0808 0793 0778 0764 0749 0735 0721 0694 -1.3 0968 0951 0934 0918 0885 0869 0838 0823 -12 1131 1112 1093 3075 1056 3038 1020 3003 0985 -11 1314 1292 1271 1251 1230 1210 1190 170 Standard Normal Table (Page 2) n POSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT .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