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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 7,515 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,365 hours.
a. At the 0.05 level of? significance, is there evidence that the mean life is different from 7,515 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?
For this problem read portion "Estimate Population Proportion" posted on Blackboard in week 8 Lectures section.
Find the value of z such that 0.03 of the area lies to the right of z. Round your answer to two decimal places.
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