This is a matched pairs design. Find a 99% confidence interval of the mean fuel mileage improvement uD from using premium gasoline rather than regular to two decimal places. Give you interval and a brief description of you calculations. In a study on the fuel-economy benefits for premiumgelsoline, twenty cars were driven for 1000 miles each,born on regular and on premium gasoline. Fuel mileagein miles per gallon (mpg) was calculated for the full1000 miles for each car, using eachтуреThe order in which the treatment (prem lum vs(regular) was applied, was random for each carofgals.Statisticssample sizemeanStandard dev.8. [16 JUEReg Prem difference2020200P VIDEOTILEDNA DALT18.68208/ƏŞƏZYİDİDİNLUDEST WED5.48.98.5WOONEY TOMIDDE

The given data is:StatisticRegularPremiumDifferenceSample size, 202020sample mean18.620.82.2sample…

Answered: In a study on the fuel-economy benefits…

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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This is a matched pairs design. Find a 99% confidence interval of the mean fuel mileage improvement uD from using premium gasoline rather than regular to two decimal places. Give you interval and a brief description of you calculations.

In a study on the fuel-economy benefits for premium
gelsoline, twenty cars were driven for 1000 miles each,
born on regular and on premium gasoline. Fuel mileage
in miles per gallon (mpg) was calculated for the full
1000 miles for each car, using each
туре
The order in which the treatment (prem lum vs
(regular) was applied, was random for each car
of
gals.
Statistics
sample size
mean
Standard dev.
8. [16 JUE
Reg Prem difference
20
20
200P VIDEOTILEDNA DALT
18.68208/ƏŞƏZYİDİDİNLUDEST WED
5.4
8.9
8.5
WOONEY TOMIDDE

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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