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 = 26.00 mpg and a standard deviation of a = 2.50 mpg. (a) What is the standard error of X, the mean from a random sample of 16 fill-ups by one driver? (Round your answer to 4 decima places.)

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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 = 26.00 mpg and a standard deviation of a = 2.50 mpg.
(a) What is the standard error of X, the mean from a random sample of 16 fill-ups by one driver? (Round your answer to 4 decimal
places.)
Standard error of X
(b) Within what interval would you expect the sample mean to fall, with 90 percent probability? (Round your answers to 4 decimal
places.)
The interval is from
to
Transcribed Image Text: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 = 26.00 mpg and a standard deviation of a = 2.50 mpg. (a) What is the standard error of X, the mean from a random sample of 16 fill-ups by one driver? (Round your answer to 4 decimal places.) Standard error of X (b) Within what interval would you expect the sample mean to fall, with 90 percent probability? (Round your answers to 4 decimal places.) The interval is from to
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