a) The probability that brand A bulbs will have a mean lifetime that is at least 160 hours. b) The probability that brand A bulbs will have a mean lifetime that is at least 250 hours more than brand B bulbs?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The electric light bulbs of manufacturer A have a mean lifetime of 1400 hours, with a standard
deviation of 200 hours. While electric light bulbs from manufacturer B have a mean lifetime of
1200 hours, with a standard deviation of 100 hours. If random samples of 150 bulbs of each
brand are tested, find:
a) The probability that brand A bulbs will have a mean lifetime that is at least 160 hours.
b) The probability that brand A bulbs will have a mean lifetime that is at least 250 hours
more than brand B bulbs?
Transcribed Image Text:The electric light bulbs of manufacturer A have a mean lifetime of 1400 hours, with a standard deviation of 200 hours. While electric light bulbs from manufacturer B have a mean lifetime of 1200 hours, with a standard deviation of 100 hours. If random samples of 150 bulbs of each brand are tested, find: a) The probability that brand A bulbs will have a mean lifetime that is at least 160 hours. b) The probability that brand A bulbs will have a mean lifetime that is at least 250 hours more than brand B bulbs?
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