n currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawai, the non Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of ery in km/100. The following data are representative of one study using drift bottles to study ocean currents. x days y km/100 203 35.8 74 75 19.5 34 92 11.9 14.9 5.4 (a) Verify that Ex = 478, Ey = 87.5, E? = 61,930, Ey? = 2054.67, Exy = 11110.9, and r- 0.94201. Ex Ey Ey²| 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. O 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 - 4.4325, a - 1.3289, and b - 0.1692. a b (d) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.) )km/100

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Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the
Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of
recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents.
x days
y km/100
74
75
34
92
203
14.9
19.5
5.4
11.9
35.8
(a) Verify that Ex = 478, Ey = 87.5, Ex2 - 61,930, Ey? = 2054.67, Exy = 11110.9, and r- 0.94201.
Ex
£y
Ex?
Ey²[
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.
Fail to reject the null hypothesis, there is sufficient evidence that p > 0.
(c) Verify that S. - 4.4325, a - 1.3289, and b - 0.1692.
(d) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.)
km/100
Transcribed Image Text:Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. x days y km/100 74 75 34 92 203 14.9 19.5 5.4 11.9 35.8 (a) Verify that Ex = 478, Ey = 87.5, Ex2 - 61,930, Ey? = 2054.67, Exy = 11110.9, and r- 0.94201. Ex £y Ex? Ey²[ 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. Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Verify that S. - 4.4325, a - 1.3289, and b - 0.1692. (d) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.) km/100
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