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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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Windy, part II In Exercise 12, we saw summary statis-
tics for wind speeds at two sites near each other, both

being considered as locations for an electricity-generating
wind turbine. The data, recorded every 6 hours for a year,
showed each of the sites had a mean wind speed high
enough to qualify, but how can we tell which site is best?
Here are some displays:

a) The boxplots show outliers for each site, yet the histo-
gram shows none. Discuss why.

b) Which of the summaries would you use to select
between these sites? Why?

c) Using the information you have, discuss the assump-
tions and conditions for paired t inference for these

data. (Hint: Think hard about the independence
assumption in particular.)

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site2-site4 (mph)
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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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