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 7,537 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,387 hours. a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7,537 hours? a. Let μ be the population mean. Determine the null​ hypothesis, H0​, and the alternative​ hypothesis, H1.   H0​: μ= H1​: 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.

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