Volf packs tend to be large extended family groups that have a well-defined hunting territory. Wolves not in the pack are driven out of the territory or killed. In ecologically similar regions, s the size of an extended wolf pack related to size of hunting region? Using radio collars on wolves, the size of the hunting region can be estimated for a given pack of wolves. Let x epresent the number of wolves in an extended pack and y represent the size of the hunting region in km2/1000. The following data are representative of one of the national parks. x wolves y km²/1000 (a) Verify that Ex = 242, Ey = 59.83, Ex² = 15,194, Ey² = 787.0225, Lxy = 3357.79, and r- 0.9287. 28 34 22 67 91 7.34 12.18 8.14 15.35 16.82 Ex Ey Exy (b) Use a 1% level of significance to test the cdaim p > 0. (Use 2 decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Verify that S - 1.8054, a - 5.5424, and b - 0.13272. Sel a (d) Find the predicted size of the hunting region for an extended pack of 73 wolves. (Use 2 decimal places.) km?(1999
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
 alt="Wolf packs tend to be large extended family groups that have a well-defined hunting territory. Wolves not in the pack are driven out of the territory or killed. In ecologically similar regions,
is the size of an extended wolf pack related to size of hunting region? Using radio collars on wolves, the size of the hunting region can be estimated for a given pack of wolves. Let x
represent the number of wolves in an extended pack and y represent the size of the hunting region in km?/1000. The following data are representative of one of the national parks.
x wolves
y km²/1000
28
34
22
67
91
7.34
12.18
8.14
15.35
16.82
(a) Verify that Ex = 242, Ey = 59.83, Ex?
Ex
£y
Ex2
- 15,194, Ey2 = 787.0225, Exy = 3357.79, and r- 0.9287.
Exy
(b) Use a 1% level of significance to test the claim p > 0. (Use 2 decimal places.)
critical t
Conclusion
O Reject the null hypothesis, there is sufficient evidence that p > 0.
O Reject the null hypothesis, there is insufficient evidence that p > 0.
Fail to reject the null hypothesis, there is insufficient evidence that p > 0.
O Fail to reject the null hypothesis, there is sufficient evidence that p > 0.
(c) Verify that S. - 1.8054, a - 5.5424, and b - 0.13272.
Se
(d) Find the predicted size of the hunting region for an extended pack of 73 wolves. (Use 2 decimal places.)
) km²/1000
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