The lifespan of xenon metal halide arc-discharge bulbs for aircraft landing lights is normally distributed with a mean of 1,500 hours and a standard deviation of 570 hours. (a) If a new ballast system shows a mean life of 1,704 hours in a test on a sample of 12 prototype new bulbs, would you conclude that the new lamp’s mean life exceeds the current mean life at α = 0.05?
Yes
No
(b) What is the p-value? (Round your answer to 4 decimal places.)