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 7550 hours. The population standard deviation is 1,120 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,214 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7550 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.

MATLAB: An Introduction with Applications
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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 7550 hours. The population standard deviation is 1120 hours. A random sample of 64 light bulbs indicates a sample mean life of 7214 hours.

a. At the 0.05 level of significance, is there evidence that the mean life is different from 7550 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 1400 hours.
Transcribed Image Text: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 7550 hours. The population standard deviation is 1120 hours. A random sample of 64 light bulbs indicates a sample mean life of 7214 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7550 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 1400 hours.
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