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The quality control manager at a light bulb factory needs to determine whether the average life of a large shipment of light bulbs is equal

The quality control manager at a light bulb factory needs to determine whether

the average life of a large shipment of light bulbs is equal to the specified value

of 475 hours. The process standard deviation is known to be 200 hours. A

random sample of 64 light bulbs indicates a sample mean life of 450 hours. At

the 0.01 level of significance, is there evidence that the mean life is different

from 475 hours?

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