Answered: Using the GSS2012, we found that 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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Using the GSS2012, we found that the mean number of hours worked last week was 39.28, with a standard deviation of 16.52 hours, based on a sample size of 1,000. Assume our data are normally distributed.

a) Assume that hours worked isapproximately normally distributedin the sample. Whatis the probability that someone in the sample will work 60 hours or more in a week? How many people in the sample should have worked 60 hours or more?

b) What is the probability that someone will work 30 hours or fewer in a week (i.e., workpart time)? How many people does this represent in the sample?

c) What number of hours worked per week corresponds to the 60th percentile?

d) Construct and interpret an estimate of the population at the 95% level.

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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