Answered: An investigator is interested in the…

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

An investigator is interested in the wages of married couples. She knows that
the hourly wages of wives are normally distributed with a mean of 8.71 pounds
and a standard deviation of 1.58. The hourly wages of husbands are normally distributed
with a mean of 9.52 pounds and a standard deviation of 1.97. If there is a
correlation of -0.2 between the wages of husbands and wives, for what
proportion of married couples will the wife earn at least 2.3 pounds per hour less
than her husband

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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