Question: Growing trees faster. The concentration of carbon dioxide \(\left(\mathrm{CO}_{2}\right)\) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use \(\mathrm{CO}_{2}\) to fuel photosynthesis, more \(\mathrm{CO}_{2}\) may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra \(\mathrm{CO}_{2}\) 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 \(\mathrm{CO}_{2}\). 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? data:

1. State the null and alternative hypotheses. Explain clearly why the investigators used a one-sided alternative.
2. Carry out a test and report your conclusion in simple language.
3. The investigators used the test you just carried out. Any use of the t procedures with samples this size is risky. Why?

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