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Participation in organized social activities (e.g., sports, clubs/groups) seems to improve self-esteem in adolescents. In one...

Participation in organized social activities (e.g., sports, clubs/groups) seems to improve self-esteem in adolescents. In one study, a sample of 100 adolescents with a history of group participation are given a self-esteem questionnaire. Researchers already know that the scores on this questionnaire are normally distributed and that the general population of adolescents have a mean score of µ = 50 and σ = 15. The sample (N = 100) produces a mean score of M = 53.8. Calculate Cohen’s d based on this information; show all of your calculations for full credit.

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Solution :

From given that ,

Cohen’s d = ( - ) / = (53.8 - 50) / 15 = 0.2533

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