Answered: An electrical manufacturing firm…

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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An electrical manufacturing firm producing molded case circuit breakers claims that their breakers will last, on average, 30 years with a variance of 12.5 years. If five of these breakers have a variance of 10.89 years, construct a 95% confidence interval for the variance and decide if the manufacturing firm's claim that a variance of 12.5 years is valid. Assume the population of the breaker lives to be approximately normally distributed.

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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