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# Nonparametric Statistics, Chi-Square, etc.

1. Which national park has more bears? Random samples of plots of ten square miles were taken in different parts of Yellowstone National Park, Yosemite National Park and Glacier National Park. The bear counts per square mile were recorded as shown below:

Yellowstone Yosemite Glacier
2 3 8
1 0 3
4 4 5
2 1 8

We want to test whether there is a difference in the mean number of bear per ten square mile plot in these three different parks using a 5% level of significance.

a. State the hypotheses.
b. Calculate the SSTOTAL, SSBETWEEN, and SSWITHIN.
c. Using these values, create the summary table for your ANOVA test.
d. From the table, state the test statistic and p-value, and state your conclusion at the 5% level of significance.

(See Attached)

#### Solution Summary

The solution gives detailed steps on performing some non-parametric test: chi square test, rank-sum test and spearman rank correlation test. Attached in Word.

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