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The quality-control manager at a light-emitting diode (LED) factory needs to determine whether the mean life of a large shipment of LEDs is equal to

The quality-control manager at a light-emitting diode (LED) factory needs to determine whether the mean life of a large shipment of LEDs is equal to 50,000 hours. The population standard deviation is 1,500 hours. A random sample of 64 LEDs indicates a sample means of a life of 49,875 hours.

A) At the 0.05 level of significance, is there evidence that the mean life is different from 50,000 hours?

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