CHAPTER 17. Inference about a Population Mean Pair 1 2 3 Control plot 9.752 7.263 5.742 Treated plot 10.587 9.244 8.675 (a) State the null and alternative hypotheses. Explain clearly why the investiga tors used a one-sided alternative. (b) Carry out a test and report your conclusion in simple language. (c) The investigators used the test you just carried out. Any use of the t procedures with samples this size is risky. Why? fron

MATLAB: An Introduction with Applications
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**Chapter 17: Inference about a Population Mean**

**Data Table:**

| Pair | Control Plot | Treated Plot |
|------|--------------|--------------|
| 1    | 9.752        | 10.587       |
| 2    | 7.263        | 9.244        |
| 3    | 5.742        | 8.675        |

**Questions:**

(a) State the null and alternative hypotheses. Explain clearly why the investigators used a one-sided alternative.

(b) Carry out a test and report your conclusion in simple language.

(c) The investigators used the test you just carried out. Any use of the t procedures with samples this size is risky. Why?
Transcribed Image Text:**Chapter 17: Inference about a Population Mean** **Data Table:** | Pair | Control Plot | Treated Plot | |------|--------------|--------------| | 1 | 9.752 | 10.587 | | 2 | 7.263 | 9.244 | | 3 | 5.742 | 8.675 | **Questions:** (a) State the null and alternative hypotheses. Explain clearly why the investigators used a one-sided alternative. (b) Carry out a test and report your conclusion in simple language. (c) The investigators used the test you just carried out. Any use of the t procedures with samples this size is risky. Why?
**17.37 Growing trees faster.** 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. The following are one year’s data.
Transcribed Image Text:**17.37 Growing trees faster.** 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. The following are one year’s data.
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Given data:

Pair Control plot Treated plot
1 9.752 10.587
2 7.263 9.244
3 5.742 8.675
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