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 = 21.50 mpg and a standard deviation of σ = 2.75 mpg. (a) What is the standard error of X¯ , the mean from a random sample of 9 fill-ups by one driver? b) Within what interval would you expect the sample mean to fall, with 95 percent probability?

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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.