. Randy is a famous pitcher in Long Island High School. His average throwing distance is 35 yards. However, his coach was analyzing Randy's throwing angle and figuring how he had a bad habit to unconsciously lift his arm earlier than he was supposed to do. Coach trained Randy for his new strategy and measured his throwing distance that turned out to be 38 yards after 11 throws with a sample standard deviation of 5.2 yards. Coach is now believing that his new strategy is effective making Randy throw farther than 35 yards. Are these data providing sufficient evidence, at the 5% of level of significance, to conclude that coach's strategy is effective? (throwing distances follows normal distribution)