Answered: A light bulb manufacturer wants to…

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

A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of

bulbs of model A showed a mean lifetime of

1372

hours and a standard deviation of

115

hours. Analysis of

bulbs of model B showed a mean lifetime of

1394

hours and a standard deviation of

hours. Assume that the populations of lifetimes for each model are normally distributed and that the variances of these populations are equal. Construct a

90%

confidence interval for the difference

−μ1μ2

between the mean lifetime

μ1

of model A bulbs and the mean lifetime

μ2

of model B bulbs. Then find the lower limit and upper limit of the

90%

confidence interval.

Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.)

Lower limit:
Upper limit:

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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