Answered: The weight of an organ in adult males…

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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The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 40 grams. Use the empirical rule to determine the following.

(a) About 99.7% of organs will be between what weights?

(b) What percentage of organs weighs between 230 grams and 390 grams?

(d) What percentage of organs weighs between 270 grams and 430 grams?

In December 2018, the average price of regular unleaded gasoline excluding taxes in the United States was $3.06 per gallon. Assume that the standard deviation price per gallon is $0.07 per gallon and use Chebyshev's Inequality to answer the following.

(a) What minimum percentage of gasoline stations had prices within 2 standard deviations of the mean?

(b) What minimum percentage of gasoline stations had prices within 2.5 standard deviations of the mean? What are the gasoline prices that are within 2.5 standard deviations of the mean?

In a statistics class, the standard deviation of the heights of all students was 3.9 inches. The standard deviation of the heights of males was 3.4 inches and the standard deviation of females was 3.3 inches. Why is the standard deviation of the entire class more than the standard deviation of the males and females considered separately?

a.The standard deviation of the entire class is more than the standard deviation of the males and females considered separately because the smaller the sample, the smaller the sample standard deviation.

b.The standard deviation of the entire class is more than the standard deviation of the males and females considered separately because the male and female sample sizes are smaller than the sample of the entire class.

c.The standard deviation of the entire class is more than the standard deviation of the males and females considered separately because there is more dispersion in the male and female samples than the entire class.

d.The standard deviation of the entire class is more than the standard deviation of the males and females considered separately because the distribution of the entire class has more dispersion.

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