Question: 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

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 7,510

hours. The population standard deviation is 1,080 hours.

A random sample of 81 light bulbs indicates a sample mean life of 7,210 hours.

a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,510.

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?

a. Let mu be the population mean. Determine the null hypothesis, Upper H 0H0,

and the alternative hypothesis, Upper H 1H1.

Upper H 0H0:

muequals=______

Upper H 1H1:

munot equals______

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