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The​ quality-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 7465 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7285 hours.
a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7465 hours
b. Compute the​ p-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 you​ reach?

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