The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of p = 19.75 mpg and a standard deviation of = 1.75 mpg. (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.) Standard error of X 0.3500 (b) Within what Interval would you expect the sample mean to fall, with 98 percent probability? (Round your answers to 4 decimal places.) The interval is from Use the sample Information = 43, = 3, n=13 to calculate the following confidence intervals for u assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from to (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to