A manufacturer produces light bulbs that have a mean life of at least 500 hours when the

production process is working properly. Based on past experience, the population standard

deviation is 50 hours and the light bulb life is normally distributed. The operations manager

stops the production process if there is evidence that the population mean light bulb life is

below 500 hours.

13. If you select a sample of 100 light bulbs and are willing to have a level of significance of 0.05, the probability of the operations manager not stopping the process when the process is in fact working properly is in fact below 500 hours is _____.

14. If you select a sample of 100 light bulbs and are willing to have a level of significance of 0.01, the probability of the operations manager incorrectly stopping the process if the population mean bulb life is 510 hours is _____.

15. If you select a sample of 100 light bulbs and are willing to have a level of significance of 0.01, the probability of the operations manager not stopping the process if the population mean bulb life is 510 hours is _____.