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Statistics / Probability and Statistical Inference 9 / Chapter 7.4 / Problem 7.4-6

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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A manufacturer sells a light bulb that has a mean life of 1450 hours with a standard

Chapter 7, Problem 7.4-6

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QUESTION:

A manufacturer sells a light bulb that has a mean life of 1450 hours with a standard deviation of 33.7 hours. A new manufacturing process is being tested, and there is interest in knowing the mean life of the new bulbs. How large a sample is required so that x5 is a 95% confidence interval for ? You may assume that the change in the standard deviation is minimal.

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QUESTION:

A manufacturer sells a light bulb that has a mean life of 1450 hours with a standard deviation of 33.7 hours. A new manufacturing process is being tested, and there is interest in knowing the mean life of the new bulbs. How large a sample is required so that x5 is a 95% confidence interval for ? You may assume that the change in the standard deviation is minimal.

ANSWER:

Step 1 of 3

Given:

We assume that the population standard deviation is equal to the sample standard deviation , which is appropriate if the sample is large.

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