. the life in hours of a thermocouple used in a furnace is known to be approximately normally distributed, with standard deviation 20 hours. a random sample of 15 thermocouples resulted in the following data: 553, 552, 567, 579, 550, 541, 537, 553, 552, 546, 538, 553, 581, 539, 529. (a) is there evidence to support the claim that mean life exceeds 540 hours? use a fixed-level test with 0.05. (b) what is the p-value for this test? (c) what is the -value for this test if the true mean life is 560 hours?