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 7,492 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,469 hours. a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7,492 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
7,492
hours. The population standard deviation is
92 hours.
A random sample of
64
light bulbs indicates a sample mean life of
7,469
hours.
a. At the
0.05
level of​ significance, is there evidence that the mean life is different from 7,492 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?
 
 
 

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Part 1
a. Let
μ
be the population mean. Determine the null​ hypothesis,
H0​,
and the alternative​ hypothesis,
H1.
 
H0​:
μ=enter your response here
H1​:
μ≠enter your response here
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