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 u = 26.75 mpg and a standard deviation of o = 3.50 mpg. (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.) 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 < Prey 3 of 10 Next > 46°F Rain showers to search 近
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 u = 26.75 mpg and a standard deviation of o = 3.50 mpg. (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.) 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 < Prey 3 of 10 Next > 46°F Rain showers to search 近
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![### Problem Context:
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 \(\mu = 26.75\) mpg and a standard deviation of \(\sigma = 3.50\) mpg.
#### Questions:
**(a)** What is the standard error of \(\overline{X}\), the mean from a random sample of 36 fill-ups by one driver? (Round your answer to 4 decimal places.)
- **Standard error of \(\overline{X}\):** [ ]
**(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 [ ]**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5b4bad2-60f3-49b7-8a7e-6feace3ebf44%2F21b9d837-4e9b-4773-aeeb-c6a8e7f55d0f%2Fx7gnrvl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Context:
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 \(\mu = 26.75\) mpg and a standard deviation of \(\sigma = 3.50\) mpg.
#### Questions:
**(a)** What is the standard error of \(\overline{X}\), the mean from a random sample of 36 fill-ups by one driver? (Round your answer to 4 decimal places.)
- **Standard error of \(\overline{X}\):** [ ]
**(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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