In a study to determine whether counseling could help people lose weight, a random sample of 24 people experienced a group-based behavioral intervention, whcih involved weekly meeting with trained interventionists for a period of six months. Fro this sample, the mean weight lost was 18.65 pounds with a standard deviation of 8.82 pounds. At the 0.05 significance level, test the claim that the mean weight loss is more than 15 pounds. The data approximately fit a normal distribution.