XR16-24 One of the accusations made about tobacco companies is that they add nicotine to their…

XR16-24 One of the accusations made about
tobacco companies is that they add nicotine to their cigarettes, which makes
them even more addictive to smokers. Tobacco company scientists argue that the
amount of nicotine in cigarettes depends completely on the size of the tobacco
leaf. That is, during poor growing seasons the tobacco leaves are smaller than
in normal or good growing seasons. However, since the amount of nicotine in a
leaf is a fixed quantity, smaller leaves would result in cigarettes having more
nicotine (since a greater fraction of the leaf would be used to make a cigarette).
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XR16-24 One of the accusations made about
tobacco companies is that they add nicotine to their cigarettes, which makes
them even more addictive to smokers. Tobacco company scientists argue that the
amount of nicotine in cigarettes depends completely on the size of the tobacco
leaf. That is, during poor growing seasons the tobacco leaves are smaller than
in normal or good growing seasons. However, since the amount of nicotine in a
leaf is a fixed quantity, smaller leaves would result in cigarettes having more
nicotine (since a greater fraction of the leaf would be used to make a cigarette).
To examine the issue, a university chemist took random samples of tobacco
leaves that were grown in greenhouses where the amount of water available to
the plants was varied. Three different groups of tobacco leaves were grown.
Group 1 leaves were grown with an about average season’s rainfall, group 2
leaves were given about 67% of group 1’s water, and group 3 leaves were given
33% of group 1’s water. The size of each fully grown leaf (in grams) and the
amount of nicotine it contained were measured and are recorded. Column 1
contains the leaf size, column 2 contains the amount of nicotine (in
milligrams), and column 3 stores the group number. Some of these data are
listed below. What conclusions can you draw from these data?

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