Question

Asked Sep 19, 2019

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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 = 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 _______

Step 1

It is given that the mean and standard deviation are 25.00 mpg and 1.75 mpg, respectively. The sample size *n* is 16.

Step 2

**(a)**

The standard error is **0.4375** as obtained as follows:

Step 3

**(b)**

It is given that the sample mean fall with ...

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