Answered: The annual salaries of employees in a…

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

The annual salaries of employees in a large company are approximately normally distributed with a mean of $70,000 and a standard deviation of $30,000.

a. What percent of people earn less than $40,000?

b. What percent of people earn more than $85,000?

c. What percent of people earn between $40,000 and $85,000?

2. Assume women’s heights follow a normal distribution with a mean of u = 64.5 inches and a standard deviation of 2.5 inches. Find the probability that a sample of 14 women have a mean height greater than 65 inches.

3. A survey found that the American family generates an average of u = 17.2 pounds of garbage each day. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean amount of garbage generated in a sample of 55 families will be less than 17 pounds.

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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