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.

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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