The operations manager at a compact fluorescent light bulb (CFL) factory needs to estimate the mean life of a large shipment of CFLs. The manufacturer’s specifications are that the standard deviation is 1,000 hours. A random sample of 64 CFLs indicated at sample mean life of 7,500 hours. Construct a 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment. Based on your confidence interval, make inference about the population parameter.  Do you think that the manufacturer has a right to state that the compact fluorescent light bulbs have a mean life of 8,000 hours? Please explain.  To answer these questions, is it compulsory to assume that the population compact fluorescent light bulb life is normally distributed? Why, why not.  Suppose that the standard deviation changes to 800 hours. What are the answers for the first and second question?

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The operations manager at a compact fluorescent light bulb (CFL) factory needs to estimate the mean life of a large shipment of CFLs. The manufacturer’s specifications are that the standard deviation is 1,000 hours. A random sample of 64 CFLs indicated at sample mean life of 7,500 hours.

Construct a 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment. Based on your confidence interval, make inference about the population parameter. 

Do you think that the manufacturer has a right to state that the compact fluorescent light bulbs have a mean life of 8,000 hours? Please explain. 

To answer these questions, is it compulsory to assume that the population compact fluorescent light bulb life is normally distributed? Why, why not. 

Suppose that the standard deviation changes to 800 hours. What are the answers for the first and second question? 

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