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Homework Question: 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

Homework Question:

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 = 20.00 mpg and a standard deviation of = 2.00 mpg.

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

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Standard error of X ( )

(b) Within what interval would you expect the sample mean to fall, with 99 percent probability? (Round your answers to 4 decimal places.)

The interval is from ( ) to ( )

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