26.2.30 ents Assume that human body temperatures are normally distributed with a

Question

26.2.30 ents 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. Pysicians wantto select a minimum temperature for require ther medical tests what should that temperature be if we want only 50% of healthy peop eto exceed it? (Such a result is a false positive, E Question Hep meaning that the test result is positive, but the subject is not realy sick) Click to view page 1 of the table. Click to view page 2 of the table Click to view page 2 of the table Does this percentage suggest that a cutoff of 100 6F is appropriate? A. Yes, because there is a large probabily hat a normal and healthy person woud be conaidered to hane a ee O B. No, because there is a large probability that a normal and healthy person would be considered to have a fever. ?? Yes, because there is a small probablity that a normal and healthy person would be considered to have a leer O D. No, because there is a small probability that a normal and healthy person would be considered to have a fever ontents F if we want only 5 0% of healthy people to exceed b. The minimum temperature for requiring further medical tests should be Round to two decimal places as needed) ia Library e Options ools ions Enter your answer in the answer box and then click Check Answer All parts showing Clear Al OK Type here to search DOLL F9 F10 F11F

Explanation / Answer

mu= 98.21

sigma= 0.61

X= unknown

only 5 % people exceeds to people below this limit is 95% and probability=0.95

z-score for probability=1.645

Z=(X-mu)/sigma

x=(mu+Z*sigma)

x=98.21+1.645*0.61

x= 99.213

99.21 F .

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