(Solved): We accompanying data on x= diesel oll consumption mate measured by the drain-weigh method and y = r ...

We accompanying data on $x=$ diesel oll consumption mate measured by the drain-weigh method and $y$ = rate measured by the Cl-trace method, both in a/he, was read from graph in an article. (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 Cl-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 $\begin{array}{l}{H}_0^2{B}_1=1\\ H_a:B_1+1\\ H_0{B}_1+1\\ H_0{B}_1=1\\ H_0^1{?}_1=1\\ H_e{?}_1<1\\ H_0^2{?}_1=1\\ H_m{H}_1>1\end{array}$ Calcuste the test statistic and determine the Pryalue. (Round your test statistic to two decimal places and your p-value to three decinal places ) $t=$ Prvalue a State the condision in the problem context. Fail to reject $H_0$. It is not plausible that ${?}_1=1$. Fall te reject $H_0$. It is plausible that ${?}_1=1$. Reject $H_0$. If is plausible that ${?}_1=1$. Reject $H_0$, It is not plausible that $P_1=1$. $\begin{array}{l}{H}_{c_1}=N_9=1\\ H_n=P_1=1\end{array}$ Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your p-value to three decimal places.) $\begin{array}{r}t=\\ \text{ Pryalue }=\end{array}$ State the conclusian in the problem context. Fall to rojest $H_0$. It is not piausibie that ${?}_1=1$. Fail to reject $H_0$. It is plausible that ${?}_1=1$. Reject $H_0$, it is plausible that ${?}_1=1$. Reject $H_0$. If is not plausble that ${?}_1=1$. (b) Calculate the yalue of the sample correlation coefficient. (Round your answer to four decimal places.) Interpret the value of the sample correlation coefficient. There is a strong positive relationship between the results of the twa measurement methods. There is a weak positive relationship between the results of the two measurement methods. There is a weak negative relationship between the results of the two measurement methods. There is a strong negative relationship between the results of the two measurement methods.