Answered: Power +Inc. produces AA batteries used…

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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Power +Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 36 hourshours and a standard deviation of 5.5 hours. As a part of its quality assurance programPower Inc. tests samples of 9 batteries. Questions What can you say about to shape of the distribution of the sample? (Normal, uniform, or binomial) What is the standard error of the distribution of the sample mean? (Round answer to 4 decimal places) What proportion of the samples will have a mean useful life of more than 38 hours? (Round z to 2 decimal places and final answer to 4 decimal places) What proportion of the sample will have a mean useful life greater than 35 hours? (Round z to 2 decimal places and final answer to 4 decimal places) What proportion of the sample will have a mean useful life between 35 and 38 hours? (Round z to 2 decimal places and final answer to 4 decimal places)

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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