8. Childhood 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 stan- dardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of p. = 50 and a standard deviation of o = 15. The sample of group- participation adolescents had an average of M = 53.8. a. Does this sample provide enough evidence to con- clude that self-esteem scores for these adolescents %3D %3D are significantly different from those of the general population? Use a two-tailed test with a = b. Compute Cohen's d to measure the size of the difference. .05. c. Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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8. Childhood 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 stan-
dardized self-esteem questionnaire. For the general
population of adolescents, scores on this questionnaire
form a normal distribution with a mean of p. = 50 and
a standard deviation of o = 15. The sample of group-
participation adolescents had an average of M = 53.8.
a. Does this sample provide enough evidence to con-
clude that self-esteem scores for these adolescents
%3D
%3D
are significantly different from those of the general
population? Use a two-tailed test with a =
b. Compute Cohen's d to measure the size of the
difference.
.05.
c. Write a sentence describing the outcome of the
hypothesis test and the measure of effect size as it
would appear in a research report.
Transcribed Image Text:8. Childhood 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 stan- dardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of p. = 50 and a standard deviation of o = 15. The sample of group- participation adolescents had an average of M = 53.8. a. Does this sample provide enough evidence to con- clude that self-esteem scores for these adolescents %3D %3D are significantly different from those of the general population? Use a two-tailed test with a = b. Compute Cohen's d to measure the size of the difference. .05. c. Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.
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