The highway fuel economy of a 2016 Lexus RX 350 FWD 6 -cylinder 3.5 -L automatic 5-speed using premium fucl is a normally distributed random variable with a mean of =25.50mpg and a standard deviation of =2.25mpg. (a) What is the standard error of X, the mean from a random sample of 25 fill-ups by one driver? (Round your answer to 4 decimal places.) (b) Within what interval would you expect the sample mean to fall, with 98 percent probablity? (Round your answers to 4 decimal places.)