An electric company has been selling a bulb, which was advertised as having an average life of 1, 500 hours. Assume that the lifetime of these bulbs is normally distributed with a standard deviation of 800 hours. A random sample of 16 bulbs from this manufacturing process was tested ad their lifetimes were recorded. Question: A lot consisting of 10,000 bulbs will be rejected if the sample mean based on 16 bulbs is 1,200 hours or less. What is the probability that the lot will be rejected?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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An electric company has been selling a bulb, which was advertised as having an average life of 1, 500 hours.
Assume that the lifetime of these bulbs is normally distributed with a standard deviation of 800 hours. A
random sample of 16 bulbs from this manufacturing process was tested ad their lifetimes were recorded.

Question:

A lot consisting of 10,000 bulbs will be rejected if the sample mean based on 16 bulbs is 1,200 hours or less.
What is the probability that the lot will be rejected?

 

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