Question: The quality control manager at a light globe factory needs to estimate the mean life of a large shipment of energy-saving light-emitting diode (LED) light

The quality control manager at a light globe factory needs to estimate the mean life of a large shipment of energy-saving light-emitting diode (LED) light globes. The standard deviation is 3,000 hours. A random sample of 64 light globes indicates a sample mean life of 34,000 hours.

a. Construct a 95% confidence interval estimate of the population mean life of light globes in this shipment.

b. Do you think that the manufacturer has the right to state that the light globes last an average of 35,000 hours? Explain.

c. Must you assume that the population of light globe life is normally distributed? Explain.

d. Suppose that the standard deviation changes to 6,000 hours. What are your answers in

(a) and (b)?

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