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 = 25.00 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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.