Answered: 1. Human body temperatures are normally…

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

1. Human body temperatures are normally distributed with a mean of 98.2F and a standard deviation of 0.6F. Use this information to fill in the following blanks.

Find the following z-scores. Hint: using the picture above may be helpful! If needed, round to two decimal places.

2 (a). What is the z-score for a person with a temperature of 99.4?

2 (b). What is the z-score for a person with a temperature of 96.4?

2 (c). What is the z-score for a person with a temperature of 97.3?

[continuation of above question]

If needed, round to two decimal places.

3 (a). If someone has a z-score of 1, what is their temperature?

3 (b). If someone has a z-score of -2.2, what is their temperature?[This is the stem.]

[continuation of above question]

4 (a). Is someone more likely to have a temperature of 96.4 or 99.4?

4 (b). Is someone more likely to have a temperature of 98.8 or 97.2?

[continuation of above question]

5. About 95% of people have temperatures between blank and blank

About blank % of people have temperatures of 97 or below.

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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