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In: Statistics and Probability

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

26. 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 7500 hours. The population standard deviation is 1260 hours. A random sample of 81 light bulbs indicates a sample mean life of 7276 hours.

a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7500 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?

e. Compare the results of parts​ (a) through​ (d) to those when the standard deviation is 900 hours.

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orchestra answered 1 year ago
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