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The quality control manager at a lightbulb factory needs to determine whether the mean life of a large shipment of lightbulbs is at least as long as the manufacturer claimed value of 375 hours. A random sample of 64 lightbulbs indicates a sample mean of 350 hours with a sample standard deviation of 72 hours. Should this shipment of lightbulbs be released? Test at the 95% confidence level.

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