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 Xbar , the mean from a random sample of 16 fill-ups by one driver? (Round your answer to 4 decimal places.) Standard error of Xbar (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:_________ O Home - » StudentsB Email - MAT-133-J4773 Intro8-3 Homework: Chapter 8 (Sec Xb My Questions | bartlebyхA newconnect.mheducation.com/flow/connect.htmlO Mountain View Ele.A O Grace Yokley Midd.Imported From IEIlluminate Home Co.Home - » StudentsOther bookmarks>>8-3 Homework: Chapter 8 (Sections 8.4 t... 6SavedHelpSave & ExitSubmitCheck my workThe highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed usingpremium fuel is a normally distributed random variable with a mean of u = 25.00 mpg and a standarddeviation ofo = 1.75 mpg.points(a) What is the standard error of X , the mean from a random sample of 16 fill-ups by one driver? (Roundyour answer to 4 decimal places.)eBookAskStandard error of X.4375PrintReferences(b) Within what interval would you expect the sample mean to fall, with 90 percent probability? (Round youranswers to 4 decimal places.)The interval is fromtoMcGrawHill< Prev3 of 10Next >

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 Xbar , the mean from a random sample of 16 fill-ups by one driver? (Round your answer to 4 decimal places.)

Standard error of   Xbar

(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:_________

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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