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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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
อผู้ด
Transcribed Image Text: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 อผู้ด
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