Question: Use Table 11 in Appendix B as shown in Example 6 (0.8110.917) or perform a hypothesis test using Table 5 in Appendix B as shown in Example 7 to make a conclusion about the indicated correlation coefficient. Also, if convenient, use technology to solve the problem.

Braking Distances: Wet surface

The weights (in pounds) of eight vehicles and the variability of their braking distances (in feet) when stopping on a wet surface are shown in the table. At α = 0.05, can you conclude that there is a significant linear correlation between the vehicle weight and variability in braking distance on a wet surface?

Data:

Weight, x 5890 5340 6500 4800 5940 5600 5100 5850

Variability in braking distance, y 2.92 2.40 4.09 1.72 2.88 2.53 2.32 2.78