Exercise: Medical researchers conducted a study to determine whether treadmill exercise could improve the walking ability of patients suffering from claudication, which is pain caused by insufficient blood flow to the muscles of the legs. A sample of 51 patients walked on a treadmill for six minutes every day. After six months, the mean distance walked in six minutes was 380 meters, with a standard deviation of 83 meters. For a control group of 56 patients who did not walk on a treadmill, the mean distance was 376 meters with a standard deviation of 99 meters. Let $\mu_1$ represent the mean walking distance of those on the treadmill.
Can you conclude that the mean distance walked for patients using a treadmill is greater than the mean for the controls? Use the $\alpha=0.01$ level of significance.
We (Choose one) the null hypothesis. There (Choose one) sufficient evidence at the $\alpha=0.01$ level to conclude that the mean distance walked for patients using a treadmill is greater than the mean for the controls.
