The quality control manager at a light bulb factory needs to determine whether the mean life of a large shipment of light bulbs is equal to 450 hours. A random sample of 100 light bulbs indicates a...

The quality control manager at a light bulb factory needs to determine whether the mean life of a large shipment of light bulbs is equal to 450 hours. A random sample of 100 light bulbs indicates a sample mean life of 465 hours with 60 hours of the sample standard deviation. At the 0.01 significance, is there evidence that the population mean life is different from 450 hours? Solve this problem based on critical value approach