Assume that human body temperatures are normally distributed with a mean of 98.21°F and a standard deviation of 0.64°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 reallysick.)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(Round to two decimal places as needed.)Does this percentage suggest that a cutoff of 100.6°F is appropriate?O A. No, because there is a large probability that a normal and healthy person would be considered to have a fever.O B. No, because there is a small probability that a normal and healthy person would be considered to have a fever.O C. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever.O D. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever.b. The minimum temperature for requiring further medical tests should be °F if we want only 5.0% of healthy people to exceed it.(Round to two decimal places as needed.)Standard Normal Table (Page 2)z850*8888889=22199220.00.30.40.60.71.11.31.41.61.7.000Standard Normal (z) Distribution: Cumulative Area from the LEFT5000539857936179.6554.691572577580.7881.81598413.8643.8849.9032.9192.93329452.95549641.9713.015040.54385832.62176591.6950.729176117910.81868438.86658869.9049920793459463.95649649.9719.0250805478587162556628.6985732476427939.8212846186868888.9066922293579474.9573.96569726.03POSITIVE 2 Scores5120.55175910.62936664.70197357.76737967.82388485.8708.8907.9082.9236.93709484.9582.9664.9732.04fever is %..51605557.59486331.6700.70547389.77047995.8264.05.63686736.70887422.7734.7764.80238051.8289.8315.8508.8531.8554.87298749 .8770.8925.8944.8962.9099.9115.9131.925192659279.93829394.9406.9495 * 95059515.9591.9599.9608.9671.9686.9738.9750.0651995239.5596.5636.5987 .6026 .60646406.6443.96789744.07.6772.712374545279.5675.6808715774867794.8078.8340.8577.8790.8980.91479292.94189525.961696939756.0853195714610364806844.7190.7517.78238106.83658599.8810.8997.91629306.9429.9535.9625.9699.9761.09.5359.5753.6141.65176879.722475497852.8133.8389.8621.88309015.9177.931994419545.96339706.9767CStandard Normal Table (Page 1)NEGATIVE z ScoresZ-3.50andlower-3.4-3.3-3.2-3.1-3.0-2.9-2.8-2.7-2.6-2.5-2.4-2.3-2.2-2.1-2.0-1.9-1.8-1.7-1.6-1.5-1.4-1.3-1.2-1.1-1.0-0.9-0.8-0.7-0.6Standard Normal (z) Distribution: Cumulative Area from the LEFT.00.0001.0003.0005.0007.0010.0013.0019.0026.0035.0047.0062.0082.0107.0139.0179.0228.0287.03590446054806680808096811511357.158718412119.24202743.01.0223892709.031762203323272643.04.00030003.0003.0004 00040006.0003.0003 .00030005 .0005.0004 .00040007.0006 .0006 .0006 .00060009 .0009 .0009 0008 .0008 .00080013.0013.00120012 .00110011.00180018.0017.0016.0016.00150025 0024 .0023 .0023 .0022 .0021.003400330032.0031 .0030 .00290045 0044 0043 0041 .0040 .00390060 .0059 .0057 .0055 .0054 0052.0080 .0078 .0075 0073 .0071 .00690104 .0102 .0099 .0096 .0094 .0091.01290125.0122 .01190162 .0158 01540207.020202620329.01320136017402220170.01660212019702170274026802810351.0256.0322034404360427053705260655.06430778.033604180516.0630.07640934 .0918111210930250.03140392048505940721.0869.1038123014460409 .04010505 * .04950618 .06060749 .07350901 .0885.1075 1056125114691711079309511131133513141292.127115621539151514921814178817361685.194920902061200519772358.22962236254626762611Print.0522662578.06Done.07.0003.0004,0005,0008.0011.0015.0021.0028,0038.0051.0068.0089.01160150.0192.0244.0307038400475.058207080853.102012101423.16601922.22062514080003.0004.0005000700100014.002000270037* .0049.0066008701130146.0188.0239.0301.0375.0465.0571069408381003119014011635189421772483.09.0002.0003,0005.0007.0010.0014.0019.00260036.0048.0064.0084.0110.0143.01830233.029403670455.0559.068108230985117013791611186721482451- X

Question

Assume that human body temperatures are normally distributed with a mean of 98.21°F and a standard deviation of 0.64°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 reallysick.)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(Round to two decimal places as needed.)Does this percentage suggest that a cutoff of 100.6°F is appropriate?O A. No, because there is a large probability that a normal and healthy person would be considered to have a fever.O B. No, because there is a small probability that a normal and healthy person would be considered to have a fever.O C. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever.O D. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever.b. The minimum temperature for requiring further medical tests should be °F if we want only 5.0% of healthy people to exceed it.(Round to two decimal places as needed.)Standard Normal Table (Page 2)z850*8888889=22199>220.00.30.40.60.71.11.31.41.61.7.000Standard Normal (z) Distribution: Cumulative Area from the LEFT5000539857936179.6554.691572577580.7881.81598413.8643.8849.9032.9192.93329452.95549641.9713.015040.54385832.62176591.6950.729176117910.81868438.86658869.9049920793459463.95649649.9719.0250805478587162556628.6985732476427939.8212846186868888.9066922293579474.9573.96569726.03POSITIVE 2 Scores5120.55175910.62936664.70197357.76737967.82388485.8708.8907.9082.9236.93709484.9582.9664.9732.04fever is %..51605557.59486331.6700.70547389.77047995.8264.05.63686736.70887422.7734.7764.80238051.8289.8315.8508.8531.8554.87298749 .8770.8925.8944.8962.9099.9115.9131.925192659279.93829394.9406.9495 * 95059515.9591.9599.9608.9671.9686.9738.9750.0651995239.5596.5636.5987 .6026 .60646406.6443.96789744.07.6772.712374545279.5675.6808715774867794.8078.8340.8577.8790.8980.91479292.94189525.961696939756.0853195714610364806844.7190.7517.78238106.83658599.8810.8997.91629306.9429.9535.9625.9699.9761.09.5359.5753.6141.65176879.722475497852.8133.8389.8621.88309015.9177.931994419545.96339706.9767CStandard Normal Table (Page 1)NEGATIVE z ScoresZ-3.50andlower-3.4-3.3-3.2-3.1-3.0-2.9-2.8-2.7-2.6-2.5-2.4-2.3-2.2-2.1-2.0-1.9-1.8-1.7-1.6-1.5-1.4-1.3-1.2-1.1-1.0-0.9-0.8-0.7-0.6Standard Normal (z) Distribution: Cumulative Area from the LEFT.00.0001.0003.0005.0007.0010.0013.0019.0026.0035.0047.0062.0082.0107.0139.0179.0228.0287.03590446054806680808096811511357.158718412119.24202743.01.0223892709.031762203323272643.04.00030003.0003.0004 00040006.0003.0003 .00030005 .0005.0004 .00040007.0006 .0006 .0006 .00060009 .0009 .0009 0008 .0008 .00080013.0013.00120012 .00110011.00180018.0017.0016.0016.00150025 0024 .0023 .0023 .0022 .0021.003400330032.0031 .0030 .00290045 0044 0043 0041 .0040 .00390060 .0059 .0057 .0055 .0054 0052.0080 .0078 .0075 0073 .0071 .00690104 .0102 .0099 .0096 .0094 .0091.01290125.0122 .01190162 .0158 01540207.020202620329.01320136017402220170.01660212019702170274026802810351.0256.0322034404360427053705260655.06430778.033604180516.0630.07640934 .0918111210930250.03140392048505940721.0869.1038123014460409 .04010505 * .04950618 .06060749 .07350901 .0885.1075 1056125114691711079309511131133513141292.127115621539151514921814178817361685.194920902061200519772358.22962236254626762611Print.0522662578.06Done.07.0003.0004,0005,0008.0011.0015.0021.0028,0038.0051.0068.0089.01160150.0192.0244.0307038400475.058207080853.102012101423.16601922.22062514080003.0004.0005000700100014.002000270037* .0049.0066008701130146.0188.0239.0301.0375.0465.0571069408381003119014011635189421772483.09.0002.0003,0005.0007.0010.0014.0019.00260036.0048.0064.0084.0110.0143.01830233.029403670455.0559.068108230985117013791611186721482451- X

Accepted Answer

Answered: Image /qna-images/answer/241f721d-f666-417f-b3d8-c076232379f7.jpg