Answered: The average operating life of light…

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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Question

The average operating life of light bulbs produced by Company A is 8100 hours
and a standard deviation of 400 hours. Company B produces similar light bulbs
with mean operating life of 8200 hours and standard deviation of 480 hours. It is
known that the populations are normally distributed. You are given 60 samples
from Company A and 80 samples from Company B. Analyze the situation and
compute the probability that sample light bulbs from Company A will have mean
operating life of at most 50 hours more than the sample mean operating life from
Company B.

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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