Assume that human body temperatures are normally distributed with a mean of 98.19°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.)

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Assume that human body temperatures are normally
distributed with a mean of 98.19°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.)
Transcribed Image Text:Assume that human body temperatures are normally distributed with a mean of 98.19°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.)
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