3. Childhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee et al., 2006). In a representative study, a sample of n=50 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 =30 and a standard deviation of =12. The sample of group-participation adolescents had an average of M=43.84. Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those in the general population (2-tailed, =0.05)?

Please show work