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 ¯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 _______. The highway fuel economy of a 2016 Lexus RX350 FWD 6-cylinder 3.5-L automatic 5-speedusing premium fuel is a normally distributedrandom variable with a mean of µ = 22.25 mpgand a standard deviation of o = 1.50 mpg.%3D(a) What is the standard error of X , the meanfrom a random sample of 36 fill-ups by onedriver? (Round your answer to 4 decimalplaces.)Standard error of X(b) Within what interval would you expect thesample mean to fall, with 99 percentprobability? (Round your answers to 4 decimalplaces.)The interval is fromto

Answered: The highway fuel economy of a 2016…

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 = 22.25 mpg and a standard deviation of σ = 1.50 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 _______.

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 o = 1.50 mpg.
%3D
(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

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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