Anewly hired basketball coach promised a high-paced attack that will put more points on the board than the team’s previously tepid offense historically managed. after a few 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 they scored an average of 101 points with a standard deviation of 6 points. over the past 10 years, the team had averaged 99 points. what is the value of the appropriate test statistic to test the new coach’s claim at the 1% significance level?