Question: 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

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 a sample mean life of

7,500 hours.

a) Construct a 95% confidence interval for the population mean life of compact

fluorescent light bulbs in this shipment.

b) Do you think that the manufacturer has the right to state that the compact fluorescent

light bulbs have a mean life of 8,000 hours? Explain.

c) Must you assume that the population compact fluorescent light bulb life is normally

distributed? Please explain.

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