A newly hired basketball coach promised a high school paced attack that will put more points on the board than the team's previously tepid offense historically managed. After a months, the team owner looks at the data to test the coach's claim. He takes a sample of 36 of the team's games under the new coach and finds that the team score an average of 101 points with the standard deviation of 6 points. Over the past 10 years, the team had average of 99 points. test the claim at 1% significane level.