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8. [-/6 Points] DETAILS MY NOTES PRACTICE ANOTHER The accompanying data on x = diesel oil consumption rate measured by the drain-weigh method and y = rate measured by the CI-trace method, both in 9/hr, was read from a graph in an article. x 4 5 8 11 12 16 16 20 22 28 30 31 39 5 6 10 10 14 15 12 25 20 24 31 27 39 (a) Assuming that x and y are related by the simple linear regression model, carry out a test to decide whether it is plausible that on average the change in the rate measured by the CI-trace method is identical to the change in the rate measured by the drain-weigh method. (Use a = 0.05.) State the appropriate null and alternative hypotheses. o Ho: P1 # 1 Ha: P = 1 O Ho: P1 = 1 Ha: P1 1 O Ho: B1 = 1 Calculate the test statistic and determine the P-value. (Round your test statistic to three decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. o Fail to reject Ho. It is not plausible that , = 1. O Reject Ho- It is plausible that Bj = 1. o Fail to reject Ho. It is plausible that , = 1. o Reject Ho- It is not plausible that , = 1. (b) Calculate the value of the sample correlation coefficient. (Round your answer to four decimal places.) Interpret the value of the sample correlation coefficient. O There is a weak negative relationship between the results of the two measurement methods. O There is a weak positive relationship between the results of the two measurement methods. O There is a strong negative relationship between the results of the two measurement methods. O There is a strong positive relationship between the results of the two measurement methods. You may need to use the appropriate table in the Appendix of Tables to answer this