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 mean life of 350 hours.
a. At the 0.5 level of significance is there evidence that the mean life is different than the 375 hours?
b. Compute the p-value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population mean of the light bulbs.
d. Compare (a) and (c). What conclusions do you reach?
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