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 7,508 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,328 hours.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,508 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
d. Compare the results of (a) and (c). What conclusions do you reach?
What is the final conclusion?