MATLAB: An Introduction with Applications
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Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 = 22.25 mpg and a standard deviation of σ = 1.50 mpg.
(a) What is the standard error of \( \bar{X} \), the mean from a random sample of 36 fill-ups by one driver? (Round your answer to 4 decimal places.)
Standard error of \( \bar{X} \) [ ]
(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 [ ]](https://content.bartleby.com/qna-images/question/2c3dc0b3-bb07-419f-b173-0b72e0af6370/75771292-bfb0-4dff-8921-fafe350944b0/imh9fl_processed.jpeg)
Transcribed Image Text: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 = 22.25 mpg and a standard deviation of σ = 1.50 mpg.
(a) What is the standard error of \( \bar{X} \), the mean from a random sample of 36 fill-ups by one driver? (Round your answer to 4 decimal places.)
Standard error of \( \bar{X} \) [ ]
(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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From the provided information,
Mean (µ) = 22.25 mpg
Standard deviation (σ) = 1.50 mpg
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