Assume that human body temperatures are normally distributed with a mean of 98.23 °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 98.23°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.
(Round to two decimal places as needed.)
Does this percentage suggest that a cutoff of 100.6°F is appropriate?
OA. No, because there is a large probability that a normal and healthy person would be considered to have a
fever.
OB. No, because there is a small probability that a normal and healthy person would be considered to have a
fever.
OC. Yes, because there is a small probability that a normal and healthy person would be considered to have a
fever.
OD. 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
people to exceed it.
(Round to two decimal places as needed.)
°F if we want only 5.0% of healthy
Transcribed Image Text:Assume that human body temperatures are normally distributed with a mean of 98.23°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. (Round to two decimal places as needed.) Does this percentage suggest that a cutoff of 100.6°F is appropriate? OA. No, because there is a large probability that a normal and healthy person would be considered to have a fever. OB. No, because there is a small probability that a normal and healthy person would be considered to have a fever. OC. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever. OD. 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 people to exceed it. (Round to two decimal places as needed.) °F if we want only 5.0% of healthy
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