3) A scientist suspects that childhood participation in organized sports, social and community activities improves self-esteem in adolescence. She randomly samples n=100 adolescents with a history of participation in organized programs and gives them a standardized test of self-esteem. For this sample of adolescents, scores on this test are normally distributed with a M = 40 and a o = 12. a) What is the standard error of the mean for this sample