Answered: An improved battery is being developed…

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 improved battery is being developed by a start-up company, which will be sent to the smartphones manufacturer. Suppose that the charging time for the old battery is normally distributed with a mean on 45 minutes, while the charging time for the new battery is normally distributed with a mean of 30 minutes. Given the standard deviation of the old battery is 20 minutes and the new battery is 30 minutes, respectively. Twenty random samples of both batteries were tested.

Find the probability of sample of the new battery is better than the old one.

Old Battery
μ 45, σ= 20
New
μ= 30, σ = 30
n = 20
n = 20

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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