The lifespan of xenon metal halide arc-discharge bulbs for aircraft landing lights is normally distributed with a mean of 1,900 hours and a standard deviation of 580 hours.(a) If a new ballast system shows a mean life of 2,316 hours in a test on a sample of 13 prototype new bulbs, would you conclude that the new lamp’s mean life exceeds the current mean life at α = 0.10?No?Yes?(b) find p value