Answered: Some battery manufacturers claim 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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Some battery manufacturers claim that the average battery life of the company is 240 hours. There is a theory in the quality department of the company that the lifespan is different from 240 hours. The Quality Department therefore decided to conduct an experiment to test this theory. A random sample of size 18 was taken and the lifespan was examined. The average life of the batteries examined was 237,056 hours and the standard deviation was 11,280. Battery life can be expected to follow a normal distribution.
a) Find a 95% confidence interval for the average battery life.
b) Examine with an appropriate hypothesis test whether the average battery life differs from 240 hours.
sometimes. Use α = 0.05.

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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