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 ofμ = 26.25mpg and a standard deviation ofσ = 3.00 mpg.(a) What is the standard error of X¯¯¯X¯ , the mean from a random sample of 9 fill-ups by one driver?
(b) Within what interval would you expect the sample mean to fall, with 95 percent probability?(Round your answers to 4 decimal places.)
the interval is from _____ to ______.
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