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 now less than to 7,500 hours. e population standard deviation is 1,200 hours. A random sample of 64 CFLs indicates a sample mean life of 7,250 hours. Required:
a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7,463 hours question mark.
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?