7. [-/18 Points] DETAILS BBBASICSTATSCOREQ 11.4.011. 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 Hawall, 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 209 y km/100 14.5 19.1 35.7 a) Find Ex, Ey, Ex?, Ey?, Exy, and r. (Round r to three decimal places.) Ex = Ex2. Exy (b) Use a 1% level of significance to test the claim p > 0. (Round your answers to two decimal places.) critical t Conclusion O Reject the null hypothesis, there is ant evidence that p > 0. O Reject the null hypothesis, ther ufficient evidence that p > 0. O Fail to reject the null h lent evidence that p > 0. O Fail to reject the n nt evidence that p > 0. (c) Find S., a, and b. (Round your answers to four decimal places.) Se - a = (d) Find the predicted distance (km/100) when a drift bottle has been floating for 80 days. (Round your answer to two decimal places.) km/100 (e) Find a 90% confidence interval for your prediction of part (d). (Round your answers to two decimal places.) lower limit km/100 upper limit km/100 (f) Use a 1% level of significance to test the claim that f > 0. (Round your answers to two decimal places.) critical t Conclusion O Reject the null hypothes ence that f > 0. O Reject the null hypothesis, cient evidence that B > 0. Fail to re Evidence that # > 0. O Fail to re cient evidence that # > 0