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 studyocean currents.x daysy km/1007176319220314.219.65.811.235.9(a) Verify that Ex = 473, Ey = 86.7, Ex² = 61,451, Ey?2033.69, Exy = 10995.7, and r 0.93868.%3D%3D%3D%3D%3DΣχEyEx?Ey2Σχy(b) Use a 1% level of significance to test the claim p > 0. (Use 2 decimal places.)critical tConclusionReject the null hypothesis, there is sufficient evidence that p > 0.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.Fail to reject the null hypothesis, there is sufficient evidence that p > 0.(c) Verify that S 4.5843, a - 1.5185, and b 0.1672.esea(d) Find the predicted distance (km/100) when a drift bottle has been floating for 90 days. (Use 2 decimal places.)km/100(e) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.)lower limitkm/100upper limitkm/100(f) Use a 1% level of significance to test the claim that ß > 0. (Use 2 decimal places.)critical tConclusionReiect the null hypothesis, there is sufficient evidence that B> 0. 1090662&dep%3D28174036&elSBN=9781337713184#Q5O Fail to reject the null hypothesis, there is sufficient evidence that p > 0.(c) Verify that S = 4.5843, a 1.5185, and b 0.1672.Seab.(d) Find the predicted distance (km/100) when a drift bottle has been floating for 90 days. (Use 2 decimal places.)km/100(e) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.)lower limitkm/100upper limitkm/100(f) Use a 1% level of significance to test the claim that B > 0. (Use 2 decimal places.)critical tConclusionReject the null hypothesis, there is sufficient evidence that B > 0.Reject the null hypothesis, there is insufficient evidence that B > 0.Fail to reject the null hypothesis, there is insufficient evidence that B > 0.Fail to reject the null hypothesis, there is sufficient evidence that B > 0.(9) Find a 95% confidence interval for ß and interpret its meaning in terms of drift rate. (Use 2 decimal places.)lower limitupper limitInterpretationFor every day of drift, the distance drifted increases by an amount that falls within the confidence interval.For every day of drift, the distance drifted decreases by an amount that falls within the confidence interval.For every day of drift, the distance drifted decreases by an amount that falls outside the confidence interval.For every day of drift, the distance drifted increases by an amount that falls outside the confidence interval.(h) Consider the following scenario. A sailboat had an accident and radioed a Mayday alert with a given latitude and longitude just before it sank. The survivors are in a small (but well provisioned) life raft drifting in the part of thePacific Ocean under study. After 30 days, how far from the accident site should a rescue plane expect to look? (Use 2 decimal places.)km/100

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. In the past, a chemical company produced 880 pounds of a certain type of plastic per day. Now, using a newly developed and less expensive process, the mean daily yield of plastic for the first 50 days of production is 871 pounds; the standard deviation is 21 pounds. Do the data provide sufficient evidence to indicate that the mean daily yield for the new process is less than that of the old procedure? (Use a=0.05) (d) Conclusion of the test above is Reject the null hypothesis and the mean daily yield for the new process is less than that of the old procedure. Do not reject the null hypothesis and the mean daily yield for the new process is not less than that of the old procedure. Reject the null hypothesis and the mean daily yield for the new process is not less than that of the old procedure O #3 99+ M 1941 9 O (?) + [ Rain... = 41. insert E b p
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