The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 104 hours. A random sample of 64 light bulbs indicated a sample mean life of 390 hours. Complete parts (a) through (d) below.
Construct a 99 % confidence interval estimate for the population mean life of light bulbs in this shipment.
c. Must you assume that the population light bulb life is normally distributed? Explain.
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