Childhood participation in sports, cultural groups and youth groups appears to be related to improved self-esteem for adolescents (McGee et al., 2006). A sample of n =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 μ = 40 and a standard deviation of σ = 12. The sample of group participation adolescents had an average of M = 44. Is there enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tailed test with α=.05. The null hypothesis in symbols is

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Childhood participation in sports, cultural groups and youth groups appears to be related to improved self-esteem for adolescents (McGee et al., 2006). A sample of n =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 μ = 40 and a standard deviation of σ = 12. The sample of group participation adolescents had an average of M = 44.

Is there enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tailed test with α=.05.

The null hypothesis in symbols is

 
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