An automotive battery manufacturer claims that its batteries will last, on average, 3 years with a 1-year variance.variance of 1 year. Assume that 5 of these batteries have durations of 1.9, 2.4, 3.0, 3.5, and 4.2 years and based on this construct a 95% confidence interval for ?2 ,then decide whether the manufacturer's assertion that?2 = 1 is valid. Assume that the population of battery lifetimes is approximately normally distributed.normal. Write the interpretation in the context of the case

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Answered: An automotive battery manufacturer…

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 automotive battery manufacturer claims that its batteries will last, on average, 3 years with a 1-year variance.
variance of 1 year. Assume that 5 of these batteries have durations of 1.9, 2.4, 3.0, 3.5, and 4.2 years and based on this construct a 95% confidence interval for ?² ,then decide whether the manufacturer's assertion that
?² = 1 is valid. Assume that the population of battery lifetimes is approximately normally distributed.
normal. Write the interpretation in the context of the case

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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