Question: Thequality-control manager at a compact fluorescent light bulb(CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to

Thequality-control manager at a compact fluorescent light bulb(CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,463 hours. The population standard deviation is 100 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,438 hours.

a. At the 0.05 level ofsignificance, is there evidence that the mean life is different from 7,463hours?

b. Compute thep-value and interpret its meaning.

c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs.

d. Compare the results of(a) and(c). What conclusions do youreach?

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