The quality control manager of a lightbulb factory needs to determine whether the mean life of a large shipment of lightbulbs is larger than the specified value of 375 hours. The process standard deviation is known to be 100 hours. A random sample of 64 lightbulbs indicates a sample mean life of 350 hours. At a 5% level of significance, is the mean life more than 375. Which of the following is your two hypotheses?]