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 CO, 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 CO,. 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. Control plot - Control Treated plot 10.547 Pair Treated 9.732 0.815 7.273 9.244 1.971 5.762 8.675 2.913 (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. The researchers have no preconceived idea what extra CO, will do to the growth rate. 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 = 1.29

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
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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 CO, 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 CO,. 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.
Control plot
- Control
Treated plot
10.547
Pair
Treated
9.732
0.815
7.273
9.244
1.971
5.762
8.675
2.913
(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.
The researchers have no preconceived idea what extra CO, will do to the growth rate.
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 = 1.29
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 CO, 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 CO,. 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. Control plot - Control Treated plot 10.547 Pair Treated 9.732 0.815 7.273 9.244 1.971 5.762 8.675 2.913 (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. The researchers have no preconceived idea what extra CO, will do to the growth rate. 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 = 1.29
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