Over the 200,000 years or so that modern humans have existed, human populations have adapted to a wide range of environments, including different foods. The researchers hypothesized that increased consumption of starch-rich foods during human evolutionary history gave individuals with multiple copies of the salivary amylase gene an "advantage." To test their hypothesis, Perry and colleagues analyzed DNA collected from two groups. The first group consisted of populations that have historically consumed a diet low in starch. The other group traditionally ate high-starch foods. The researchers measured the number of copies of the AMY1 gene in individuals from these different populations. The descriptive statistics can be found below. Sample Mean Sample Standard Deviation Sample Size Group |High-Starch Diet 7.12 Low-Starch Diet 5.48 2.92 25 2.18 25 Assuming both groups come from normal populations, what is the 95% confidence interval on the mean difference between the groups (high – low)? O 0.2116 to 3.0684 None of these. 0.1746 to 3.1054

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Over the 200,000 years or so that modern humans have existed, human populations have adapted to a wide range of environments, including different foods. The researchers hypothesized that increased consumption of starch-rich foods during human evolutionary history gave individuals with multiple copies of the salivary amylase gene an “advantage.” To test their hypothesis, Perry and colleagues analyzed DNA collected from two groups. The first group consisted of populations that have historically consumed a diet low in starch. The other group traditionally ate high-starch foods. The researchers measured the number of copies of the AMY1 gene in individuals from these different populations. The descriptive statistics can be found below.

\[
\begin{array}{|l|c|c|c|}
\hline
\text{Group} & \text{Sample Mean} & \text{Sample Standard Deviation} & \text{Sample Size} \\
\hline
\text{High-Starch Diet} & 7.12 & 2.92 & 25 \\
\text{Low-Starch Diet} & 5.48 & 2.18 & 25 \\
\hline
\end{array}
\]

Assuming both groups come from normal populations, what is the 95% confidence interval on the mean difference between the groups (high – low)?

- 0.2116 to 3.0684
- None of these.
- 0.1746 to 3.1054
- 0.1716 to 3.1084
Transcribed Image Text:Over the 200,000 years or so that modern humans have existed, human populations have adapted to a wide range of environments, including different foods. The researchers hypothesized that increased consumption of starch-rich foods during human evolutionary history gave individuals with multiple copies of the salivary amylase gene an “advantage.” To test their hypothesis, Perry and colleagues analyzed DNA collected from two groups. The first group consisted of populations that have historically consumed a diet low in starch. The other group traditionally ate high-starch foods. The researchers measured the number of copies of the AMY1 gene in individuals from these different populations. The descriptive statistics can be found below. \[ \begin{array}{|l|c|c|c|} \hline \text{Group} & \text{Sample Mean} & \text{Sample Standard Deviation} & \text{Sample Size} \\ \hline \text{High-Starch Diet} & 7.12 & 2.92 & 25 \\ \text{Low-Starch Diet} & 5.48 & 2.18 & 25 \\ \hline \end{array} \] Assuming both groups come from normal populations, what is the 95% confidence interval on the mean difference between the groups (high – low)? - 0.2116 to 3.0684 - None of these. - 0.1746 to 3.1054 - 0.1716 to 3.1084
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