Answered: The concentration of carbon dioxide…

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

The concentration of carbon dioxide (COy) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use COz to fuel photosynthesis, more COz may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO, to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra COz. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percentage increase per year. Here are one year's data

Pair

Control Plot

9.752

7.263

5.742

Treated Plot

10.587

9.244

8.675

Treated - Control

0.835

1.981

2.933

State the null and alternative hypotheses. Explain clearly why the investigators used a onesided alternative.
Use at procedure to carry out a test and report your conclusion in simple language.
The investigators used the test you just carried out.
Any use of the t procedures with samples this size is risky. Why?

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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