The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium

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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 μ = 27.0 mpg and a standard deviation of σ = 1.25 mpg.

(a) What is the standard error of the mean from a random sample of 16 fill-ups by one driver?

(b) Within what interval would you expect the sample mean to fall, with 90 percent probability?

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