Assume that human body temperatures are normally distributed with 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 i 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 0.01 %. (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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The minimum temperature for requiring further medical test should be _F if we want only 5.0% of health people to exceed it.
Assume that human body temperatures are normally distributed with a mean of 98.23°F and a standard deviation of 0.61F
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 0.01 %.
(Round to two decimal places as needed.)
Does this percentage suggest that a cutoff of 100.6°F is appropriate?
Transcribed Image Text:Assume that human body temperatures are normally distributed with a mean of 98.23°F and a standard deviation of 0.61F 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 0.01 %. (Round to two decimal places as needed.) Does this percentage suggest that a cutoff of 100.6°F is appropriate?
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Step 1

Solution:

Let X be the human body temperatures are normally distributed with mean 98.23 F and standard deviation of 0.61 F. 

X~N(μ=98.23, σ=0.61)

 

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