The highway fuel economy ofa 2016 Lexus RX 350 FWD 6cylinder 3.5L automatic 5speed using premium fuel is a normally distributed random variable with a mean ofp =20.00 mpg and a standard deviation of o = 2.00 mpg. (a) What is the standard error of f , the mean from a random sample of 36 fillups by one driver? (Round your answer to 4 decimal places.) Standard error of)? (b) Within what interval would you expect the sample mean to fall. with 99 percent probability? (Round your answers to 4 decimal places.) The interval is from - ................................................ E (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence interval is from toUse the sample information :3 = 35, 0': 7. n = 16 to calculate the following confidence intervals for [J assuming the sample is from a normal population. {a} 90 percent confidence. (Round your answers to 4 decimal places.} The 90% condence interval is from | |t0 | | (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% condence interval is from | |to | |