Answered: duracell battery company claims that…

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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duracell battery company claims that their rechargeable batteries will charge at least 703 times before dying out and needing to be replaced. A sample of 10 rechargeable Duracell batteries are tested, and the number of charges of each before needing to be replaced is as follows:

670, 690, 800, 720, 660, 650, 560, 540, 600, 730.

At 5% significance level, test whether Duracell Battery Company’s claim is true. Assume that the distribution of the charges of a rechargeable battery are 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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