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 7,534 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,511 hours.   a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7,534 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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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 7,534 hours. The population standard deviation is
92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,511 hours.
 
a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7,534 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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