Answered: In determining automatic mileage…

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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In determining automatic mileage ratings, it was found that the mog in the city for a certain model is normally distributed, with a mean of 39 mpg and a standard deviation of 1.6 mpg. Suppose that the car manufacturer samples four cars from its assembly line and test them for mileage ratings.

A. What is the distribution of the mean for the sample?

B. What is the probability that the mean mpg of the smaple will be greater than 40 mpg?

C. What is the probability that the mean mpg of the sample will be less than 37.5 mpg?

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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