The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO2 may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO2 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 CO2. 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 percent increase per year. Here are one year's data. Pair Control plot Treated plot Treated - Control 1 9.782 10.647 0.865 7.283 9.254 1.971 3 5.712 8.695 2.983 (a) State the null and alternative hypotheses. (Where u is the mean difference, treated minus control.) Но: и На: и >+ Explain clearly why the investigators used a one-sided alternative. O The researchers have no preconceived idea what extra CO, will do to the growth rate. O The researchers have reason to believe that CO, will decrease growth rate. O The researchers have reason to believe that CO, will increase growth rate. (b) Carry out a test and report your conclusion in simple language. (Use a = 0.05. Round your answer to two decimal places.) t = 2.13

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 97E
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The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel
photosynthesis, more CO2 may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO2 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 CO2. 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
percent increase per year. Here are one year's data.
Pair
Control plot
Treated plot
Treated - Control
1
9.782
10.647
0.865
7.283
9.254
1.971
3
5.712
8.695
2.983
(a) State the null and alternative hypotheses. (Where u is the mean difference, treated minus control.)
Но: и
На: и
>+
Explain clearly why the investigators used a one-sided alternative.
O The researchers have no preconceived idea what extra CO, will do to the growth rate.
O The researchers have reason to believe that CO, will decrease growth rate.
O The researchers have reason to believe that CO, will increase growth rate.
(b) Carry out a test and report your conclusion in simple language. (Use a = 0.05. Round your answer to two decimal places.)
t = 2.13
Transcribed Image Text:The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO2 may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO2 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 CO2. 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 percent increase per year. Here are one year's data. Pair Control plot Treated plot Treated - Control 1 9.782 10.647 0.865 7.283 9.254 1.971 3 5.712 8.695 2.983 (a) State the null and alternative hypotheses. (Where u is the mean difference, treated minus control.) Но: и На: и >+ Explain clearly why the investigators used a one-sided alternative. O The researchers have no preconceived idea what extra CO, will do to the growth rate. O The researchers have reason to believe that CO, will decrease growth rate. O The researchers have reason to believe that CO, will increase growth rate. (b) Carry out a test and report your conclusion in simple language. (Use a = 0.05. Round your answer to two decimal places.) t = 2.13
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