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Name: The following table gives the outputs of 3 years for a farm that uses
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Description: The following table gives the outputs of 3 years for a farm that uses 3 types of fertilizers, assuming that there are 2 outputs for each type of fertilizers, then its distribution is normal with equal variance. Test the hypothesis that the mean of |

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section: Chapter Questions

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The following table gives the outputs of 3 years for a farm that uses 3 types of fertilizers, assuming that there are 2 outputs for each type of fertilizers, then its distribution is normal with equal variance. Test the hypothesis that the mean of | The population is equal at a significant degree of 5%.

Fertilizers
X2
42
X3
Year 1
10
54
Year 2
22
47
61
Year 3
28
31
65
X1 = 20
X2 = 40
X3 = 60

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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