Question: A team of heart surgeons at a major hospital knows that many patients who undergo corrective heart surgery have a dangerous buildup of anxiety before their scheduled operations. The staff psychiatrist at the howpital has started a new counseling program intended to reduce this anxiety. A test of anxiety is given to patients who know they must undergo heart surgery. Then each patient participates in a series of counseling sessions with the staff psychiatrist. At the end of the counseling sessions, each patient is retested to determine anxiety level. The results for a random sample of nine patients shows that the average difference in the scores is -33.33 with a standard deviation of 22.92. For each patient, the difference in score is the score after the counseling minus the score before the counseling. Higher score mean higher levels of anxiety. At a 1 % level of significance, test the claim that the counseling sessions reduce anxiety.

Assume all statistical requirements are met.