QuestionAnna Bischoff 12/03/24 10:44 AM Question 13, 9.1.33-T Part 2 of 4 HW Score: $66.33 \%, 9.29$ of 14 points Points: 0 of 1 Save
The weights (in pounds) of eight vehicles and the variabilities of their braking distances (in feet) when stopping on a dry surface are shown in the table. At $\alpha=0.05$, is there enough evidence to conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? \begin{tabular}{|l|c|c|c|c|c|c|c|c|} \hline Weight, $\mathbf{x}$ & 5910 & 5360 & 6500 & 5100 & 5890 & 4800 & 5700 & 5870 \\ \hline Variability, $\mathbf{y}$ & 1.72 & 1.99 & 1.92 & 1.55 & 1.69 & 1.50 & 1.57 & 1.70 \\ \hline \end{tabular}
Setup the hypothesis for the test. $$\begin{array}{l} H_{0}: \rho=0 \\ H_{a}: \rho \neq 0 \end{array}$$
Calculate the test statistic. $\mathrm{t}=3.33$ (Round to two decimal places as needed.)