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The fuel economy of a 2011 Lexus RX 350 2WD 6 cylinder 3.5 L automatic 5-speed...

The fuel economy of a 2011 Lexus RX 350 2WD 6 cylinder 3.5 L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 25 MPG and a standard deviation of σ = 1.75 MPG.

(a)

What is the standard error of X¯¯¯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¯¯¯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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