2.22 Assume that human body temperatures are normally distributed with a mean of

Question

2.22 Assume that human body temperatures are normally distributed with a mean of 98.23°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 hat a cutoff of that the test result is positive, but the subject is not realy sick.) a.The percentage of normal and healthy persons considered to havealeer is[ (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer Clear All remaining

Explanation / Answer

Ans:

Mean=98.23

standard deviation=0.61

a)

z=(100.6-98.23)/0.61=3.89

P(z>3.89)=1-0.9999=0.0001

0.01%

As,the percentage is very low,this cut off is not appropriate,cut off should be lower than 100.6

b)P(Z>=z)=0.05

P(Z<=z)=1-0.05=0.95

z=1.645

1.645=(x-98.23)/0.61

x=98.23+1.645*0.61

x=99.23

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