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A bulb manufacturer claims that the lives of its bulbs are normally distributed with a mean of 6000 hours and a standard deviation of 400

A bulb manufacturer claims that the lives of its bulbs are normally distributed with a mean of 6000 hours and a standard deviation of 400 hours.

a. A random sample of 16 bulbs had an average life of 5850 hours. Is the manufacturer's claim correct?

b. How about a random sample of 16 bulbs having an average of 5800 hours? What is your conclusion?

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