Construct a 95% confidence interval estimate of the pupulation mean life of the light bulbs.

Construct a 95% confidence interval estimate of the pupulation mean life of the light bulbs.

   

The quality-control
manager at a light bulb factory needs to determine whether the mean life of a
large shipment of light bulbs is equal to 375 hours. The population standard deviation is 100
hours. A random sample of 64 light bulbs indicates a sample mean life of 350
hours.

a) At the 0.05 level of significance, is
there evidence that the mean life is different from
375 hours?

b) Compute the p-value and interpret its
meaning.

c) Construct a 95% confidence interval
estimate of the pupulation mean life of the light
bulbs.

d) Compare the reuslts of (a) and
(c). What conclusions do you reach?


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