a) A light bulb manufacturer guarantees that the mean life of its brand of light bulb is 750 hours. If a random sample of 36 light bulbs has a mean life of 738 hours with a standard deviation of 43 hours, do you have enough evidence to reject the manufacturer’s claim? Use symbols and words to express your answer. b) Construct a 95% confidence interval for the mean life of its brand of light bulb based on the sample results in part a. Use symbols and words to express your answer.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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a) A light bulb manufacturer guarantees that the mean life of its brand of light
bulb is 750 hours. If a random sample of 36 light bulbs has a mean life of
738 hours with a standard deviation of 43 hours, do you have enough
evidence to reject the manufacturer’s claim? Use symbols and words to
express your answer.
b) Construct a 95% confidence interval for the mean life of its brand of light
bulb based on the sample results in part a. Use symbols and words to
express your answer.

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