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 47 patients walked on a treadmill for six minutes every day. After six months, the mean distance walked in six minutes was 341 meters, with a standard deviation of 79 meters. For a control group of 39 patients who did not walk on a treadmill, the mean distance was 305 meters with a standard deviation of 82 meters. Can you conclude that the mean distance walked for patients using a treadmill is greater than the mean for the controls? Use the α = 0.05 level of significance.
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