Childhood participation in clubs appears to be related to improved self-esteem for adolescents. In a representative study, a sample of 100 adolescents with a history of group participation is given a standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of 50 and a standard deviation of 15. The sample of group-participation adolescents had an average of 53.8.
Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population?