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 40 patients walked on a treadmill for six minutes every day. After six months, the mean distance walked in six minutes was 345 meters, with a standard deviation of 74 meters. For a control group of 52 patients who did not walk on a treadmill, the mean distance was 308 meters with a standard deviation of 85 meters. Can you conclude that the mean distance walked for patients using a treadmill is greater than the mean for the controls? Let 1 denote the mean distance walked for patients who used a treadmill and let 2 denote the mean distance walked for the controls. Use the =0.01 level of significance and the critical value method.

Compute the test statistic. Round the answer to at least three decimal places.

t=

Determine whether to reject H0? reject or not reject the null hypothesis.