Assume that the populations of lifetimes for each model are normally distributed and that the variances of these populations are equal. Construct a 99% 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 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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

15

bulbs of model A showed a mean lifetime of

1279

hours and a standard deviation of

100

hours. Analysis of

16

bulbs of model B showed a mean lifetime of

1278

hours and a standard deviation of

88

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

99%

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

99%

confidence interval.

Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places.

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