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Use descriptive statistics to summarize the measurements. What environmental factors might explain the differences between these three groups

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

A student was interested in assessing the effects of environmental factors on the biosphere. As a potential barometer, she decided to measure the growth of large trees in the Pacific Northwest, near Seattle, Washington. She selected three sites:  

  A. High in the foothills of the Cascade Mountains  

  B. Along the Columbia River near Mt. Hood, Oregon  

  C. On the eastern shores of Lake Washington, in the Seattle metropolitan area observations, are available in the CSV file.

  It was measured the thickness (in millimeters) of 20 tree rings on one tree at each site and she made special attempts to ensure that each tree sampled was approximately the same age, 20 years. The data, presented below directly from the researcher's notebooks, were recorded from the center of the tree extending outward, i.e. from older to younger rings.  As a data analyst, you must help the geographer determine if environmental factors were different for these three regions.   

1. Read in the TreeRing.csv data and assign it to the variable "tree". Print the structure of the tree.  ```{r}```  

2. Use the ggplot2 package to visualize these data in a manner that supports any interpretations you make in the questions below. Adhere to Tufte’s principles of data graphics in making your visualizations.  ```{r}```  

3. Use descriptive statistics to summarize the measurements. What environmental factors might explain the differences between these three groups? Note the locales for each of the observations and take the associated environments into account in your interpretation. (If you do not know where these places are, look them up.)  ```{r}```

4. State any assumptions you make for the purposes of comparing the data from the three sites.    

5. Use a parametric test to determine whether the samples are different from each other at the 95% confidence interval. State the Null hypothesis and the Alternative hypothesis.  ```{r}```  

6. What other information would help you refine your analysis?   

7. What is peculiar (suspicious) about the way the data were recorded and presented? 

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