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The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the...

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Basic Math

The​ quality-control manager at a compact fluorescent lightbulb​ (CFL) factory needs to determine whether the mean life of alarge shipment of CFLs is equal to 7,487 hours. The populationstandard deviation is 1,080 hours. A random sample of 81 lightbulbs indicates a sample mean life of 7,187 hours. a. At the 0.05level of​ significance, is there evidence that the mean life isdifferent from 7,487 hours? b. Compute the​ p-value and interpretits meaning. c. Construct a 95​% confidence interval estimate ofthe population mean life of the light bulbs. d. Compare the resultsof​ (a) and​ (c). What conclusions do you​ reach?

Answer & Explanation Solved by verified expert
4.3 Ratings (917 Votes)
aOne sample z testClaim The mean life is different from 7487 hoursH0 7487 vs Ha 7487Given 7187 1080 n 81Population standard deviation is known therefore we use zstatisticTest statisticZ Z    See Answer
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