Assume that human body temperatures are normally distributed with a mean of 98.19°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.) A. What is the percentage of normal and healthy persons considered to have a fever? _______% A2. Does this percentage suggest that a cutoff of 100.6F is appropriate? A. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever B.No, because there is a small probability that a normal and healthy person would be considered to have a fever. C. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever. D. No, because there is a large probability that a normal and healthy person would be considered to have a fever

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that human body temperatures are normally distributed with a mean of 98.19°F and a standard deviation of 0.63°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.)

A. What is the percentage of normal and healthy persons considered to have a fever? _______%

A2. Does this percentage suggest that a cutoff of 100.6F is appropriate?

A. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever

B.No, because there is a small probability that a normal and healthy person would be considered to have a fever.

C. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever.

D. No, because there is a large probability that a normal and healthy person would be considered to have a fever

B. What should that temperature be if we want only 5.0% of healthy people to exceed it?

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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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