Children participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006).  In a representative study, 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= 50 and a standard deviation of ?σ= 15.  The sample of group participation adolescents had an average of M = 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? Use a two

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Children participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006).  In a representative study, 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= 50 and a standard deviation of ?σ= 15.  The sample of group participation adolescents had an average of M = 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? Use a two-tail with ?α= .05.

Please answer the question using all of the steps presented  on your practice problem assignment.  (null in word, alternative in words, null in symbols, alternative in symbols, critical region z, all steps in the analysis computing your computed z, make a decision, and give a conclusion. 

Do not skip around in the steps. Provide steps in an orderly steps by step manner.

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