Answered: Temperatures The table on the next page…

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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Temperatures The table on the next page gives the
average high temperatures in January and July for several
European cities. Write a 90% confidence interval for the
mean temperature difference between summer and winter
in Europe. Be sure to check conditions for inference, and
clearly explain what your interval means.

Mean High
Temperatures 1°F2
City Jan. July
Vienna 34 75
Copenhagen 36 72
Paris 42 76
Berlin 35 74
Athens 54 90
Rome 54 88
Amsterdam 40 69
Madrid 47 87
London 44 73
Edinburgh 43 65
Moscow 21 76
Belgrade 37 84

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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