Answered: Assume that human body temperatures are…

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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Question

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 ispositive, but the subject is not really sick.)

Click to view page 1 of the table.

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a. The percentage of normal and healthy persons considered to have a fever is

nothing%.

(Round to two decimal places as needed.)

Does this percentage suggest that a cutoff of

100.6°F

is appropriate?

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

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

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

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

nothing°F

if we want only 5.0% of healthy people to exceed it.

(Round to two decimal places as needed.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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