Math Problem Statement
Assume that human body temperatures are normally distributed with a mean of 98.22°F and a standard deviation of
Question list
Question 11
0.62° F.
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?
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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Question 12
Question 13
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Question 14
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¾ Question 15
a. The percentage of normal and healthy persons considered to have a fever is 0.006 %.
(Round to two decimal places as needed.)
Does this percentage suggest that a cutoff of 100.6°F is appropriate?
A. No, because there is a small probability that a normal and healthy person would be considered to have a fever.
B. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever.
• c. No, because there is a large probabilty that a normal and healthy person would be considered to have a fever.
D. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever.
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• Question 16
b. The minimum temperature for requiring further medical tests should be °F if we want only 5.0% of healthy
Options
people to exceed it.
(Round to two decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Normal Distribution
Probability
Z-Score
Formulas
Z-score formula: z = (x - μ) / σ
Cumulative probability from z-score
Theorems
68-95-99.7 Rule for Normal Distribution
Standard Normal Distribution Theorem
Suitable Grade Level
Grades 11-12
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