Answered: A tire manufacturer claims that its…

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

A tire manufacturer claims that its tires have a mean life of at least 50000 kms. A random sample of 16 of these
tires is tested and the sample mean is 33000 kms. Assume the population standard deviation is 3000 kms and
the lives of tires are approximately normally distributed. Based on these results, the p-value is calculated to be
0.000. What is an appropriate conclusion at significance level a=0.05

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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