Answered: To compare the effectiveness of…

Name: To compare the effectiveness of competing fertilizers on increasing ra
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Description: To compare the effectiveness of competing fertilizers on increasing radish size, researchers randomly divided 20 radish seeds of the same type into two groups of 10 and planted them. To one of the groups they applied Fertilizer A, and to the other, t

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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To compare the effectiveness of competing fertilizers on increasing radish size, researchers randomly divided 20 radish seeds of the same type into two groups of 10 and planted them. To one of the groups they applied Fertilizer A, and to the other, they applied Fertilizer B. Then they measured the radii of the radishes grown from the seeds in the two groups. The results of the experiment are shown in the tables.

The mean radius for the group that was given Fertilizer A is (less,greater)than that for the group that was given Fertilizer B. The variability of the radii for the group that was given Fertilizer A is (less/greater)than that for the group that was given Fertilizer B. The data for both of the groups produces a (uniform, non-uniform) distribution.

Radishes Given
Radishes Given
Fertilizer A
Fertilizer B
Radish
Radius (cm)
Radish
Radius (cm)
1
1.4
2.0
2.1
2
1.8
1.9
3
2.4
4
0.8
4
1.9
5
1.0
1.7
6
1.6
6.
2.5
7
1.2
7
2.3
1.5
8
2.1
2.3
1.6
10
1.1
10
1.8

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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