Assume that human body temperatures are normally distributed with a mean of 98.22°F and a standard deviation of 0.63°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? O A. No, because there is a large probability that a normal and healthy person would be considered to have a fever. O B. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever. O C. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever. O D. No, because there is a small 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°F if we want only 5.0% of healthy people to exceed it. (Round to two decimal places as needed.)
Assume that human body temperatures are normally distributed with a mean of 98.22°F and a standard deviation of 0.63°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? O A. No, because there is a large probability that a normal and healthy person would be considered to have a fever. O B. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever. O C. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever. O D. No, because there is a small 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°F if we want only 5.0% of healthy people to exceed it. (Round to two decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:Assume that human body temperatures are normally distributed with a mean of 98.22°F and a standard deviation of 0.63 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?
O A. No, because there is a large probability that a normal and healthy person would be considered to have a fever.
O B. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever.
O C. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever.
O D. No, because there is a small 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 °F if we want only 5.0% of healthy people to exceed it.
(Round to two decimal places as needed.)
Click to select your answer(S).
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