Construct a 95% confidence interval estimate of the population mean life of light bulbs in this shipment if a random sample of 50 light bulbs selected from the shipment indicates a sample mean life of 350 hours.

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Construct a 95% confidence interval estimate of the population mean life of light bulbs in this shipment if a random sample of 50 light bulbs selected from the shipment indicates a sample mean life of 350 hours.

The quality control manager at a light bulb factory
needs to estimate the mean life of a shipment of 2,000 light
bulbs. Assume that the standard deviation is 100 hours and
that sampling is done without replacement.
a. Construct a 95% confidence interval estimate of the population
mean life of light bulbs in this shipment if a random
sample of 50 light bulbs selected from the shipment
indicates a sample mean life of 350 hours.
b. Determine the sample size needed to estimate the population
mean life to within hours with 95% confidence.
c. What are your answers to (a) and (b) if the shipment contains
1,000 light bulbs?

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