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 = 20.50 mpg and a standard...

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 = 20.50
mpg and a standard deviation of
σ = 3.00
mpg.


(a)
What is the standard error of X⎯⎯⎯X¯ , the mean from a random sample of 36 fill-ups by one driver?
(Round your answer to 4 decimal places.)