1. A machine can be adjusted so that, when it is under control, the mean amount of sugar dispensed is 5 lbs. It is known that the population standard deviation is .15 lbs. The quality control supervisor would like to know if the quality is controlled. To do quality control check, 16 bags of sugar are randomly selected and weighed. The sample mean was found to be 5.1 lbs. Find the p-value for this test correct to 4 decimal places
2. A pain medication that is currently used in a hospital is known to bring relief in a mean time of 3.5 minutes. To see if a new drug brings relief in significantly less time (i.e. works faster), a random sample of 50 patients were given the new drug and the sample mean time for relief of pain was 3.2 minutes with a sample standard deviation of 1.14 minutes. Find the p-value for this test correct to 4 decimal places.