Question: The quality control manager at a lightbulb factory needs to estimate the mean life of a large shipment of lightbulbs. The process standard deviation is

The quality control manager at a lightbulb factory needs to estimate the mean life of a large shipment of lightbulbs. The process standard deviation is known to be 100 hours. A random sample of 64 lightbulbs indicated a sample mean life of 350 hours.

Explain why an observed value of 320 hours for a single lightbulb is not improbable even though if it were outside of the confidence interval you calculated.

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