Answered: A taxi company is trying to decide…

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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A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of taxis. To estimate the difference in the two brands, an experiment is conducted using 14 of each brand. The tires are run until they wear out. The results are given in the table below. Compute a 90% confidence interval for μA−μB assuming the populations to be approximately normally distributed. You may not assume that the variances are equal.

Brand A	x1=35,300 kilometers	s1=4900 kilometers
Brand B	x2=37,200 kilometers	s2=6100 kilometers

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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