Question: Thequality-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

Thequality-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 7,463 hours. The population standard deviation is 100 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,438 hours.

a. At the 0.05 level ofsignificance, is there evidence that the mean life is different from 7,463hours?

b. Compute thep-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 youreach?

a. Let be the population mean. Determine the nullhypothesis, H₀, and the alternativehypothesis, H₁.

Let be the population mean. Determine the nullhypothesis, H0, and the alternativehypothesis, H1.

H0: = 7463

H1: 7463

What is the teststatistic?

ZSTATequals= 2

What is/are the critical value(s)

-1.96, 1.96

The P Value is 0.0456

Reject H0. There is sufficient evidence to prove that the mean life is different from 7,463 hours

Construct a95% confidence interval estimate of the population mean life of the light bulbs.

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