Question

The
operations manager at a compact fluorescent light bulb (CFL)
factory needs to estimate the mean life of a large shipment of
CFLs. The manufacturer’s specifications are that the standard
deviation is 1,000 hours. A random sample of 64 CFLs indicated a
sample mean life of 7,500 hours.

a.
Construct a 95% confidence interval estimate for the population
mean life of compact fluorescent light bulbs in this
shipment.

b. Do
you think that the manufacturer has the right to state that the
compact fluorescent light bulbs have a mean life of 8,000 hours?
Explain.

c.
Suppose that the standard deviation changes to 800 hours. What are
your answers in (a) and (b)?

Answer #1

thank you

The quality control manager at a compact fluorescent light bulb
(CFL) factory needs to determine whether the mean life of a larger
shipment of CFL is equal to 7,500 hours.
The population standard deviation is 1,200 hours.
A random sample of 64 CFLs indicates a sample mean life of 7,250
hours.
At the 0.05 level of significance, is there evidence that the
mean life is different from 7,500 hours?

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 7540 hours. The population
standard deviation is 735 hours. A random sample of 49 light bulbs
indicates a sample mean life of 7,288 hours.
Construct a 95% confidence interval estimate of the population
mean life of the light bulbs?
___ <= MU <= ___ (Round to the nearest whole number as
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The quality-control manger at a compact fluorescent light bulb
(CFL) factory needs to determine whether the mean life of a large
shipment of CFLs is equal to 7,500 hours. The population standard
deviation is 1,000 hours. A random sample of 64 CFLs indicates a
sample mean life of 7,250.
a) At the 0.05 level of significance, is there evidence that the
mean life is different from 7,500 hours?
b) Complete the p-value and interpret its meaning.
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9.14 The quality-control manager at a compact flu-orescent light
bulb (CFL) factory needs to determine whether the mean life of a
large shipment of CFLs is equal to 7,500 hours. The population
standard deviation is 1,000 hours. A random sample of 64 CFLs
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a. At the 0.05 level of significance, is there evidence that the
mean life is different from 7,500 hours?
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