Answered: An article in Agricultural Engineering…

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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Question

An article in Agricultural Engineering (December 1964, pp. 672–673) described an experiment in which the daily weight gain of swine is evaluated at different levels of housing temperature. The mean weight of each group of swine at the start of the experiment is considered to be a nuisance factor. The data from this experiment is in the picture:

Does housing air temperature affect mean weight gain? Use alpha = 0.01

Housing Air Temperatures
(degrees F)
Mean
Weight
(Ibs)
50
60
70
80
90
100
100
1.37
1.58
2.00
1.97
1.40
0.39
150
1.47
1.75
2.16
1.82
1.14
-0.19
200
1.19
1.91
2.22
1.67
0.88
-0.77

Source of
df
MS
F crit
Variation
Rows
Blank 1
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Blank 3
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Blank 5
Columns
Blank 6
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Error
Blank 11
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Total
Blank 14
Blank 15

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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