Answered: Assume that the time saved by putting…

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

Assume that the time saved by putting FASTags on cars is normally distributed with true
standard deviation 0.75.
a) Compute 96% confidence interval for the true average time saved based on 35 cars with
a sample average of time saved being 8.57 minutes.
b) Will your answer change if time saved by putting FASTags on cars is not normally
distributed?
c) How large must be the sample size if the width of the 92% interval is to be 0.50.

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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