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). 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. You collect a sample of group-participation adolescents with N = 100 and find their score is an average of M = 42.11. Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly higher than those of the general population? Use a one-tailed test with α = .01. First, what is the standard error of the mean (SEM)? a. 0.83 b.0.35 c.0.12 d.1.2 B) Second, what is the Z-score for the sample? C) What is the critical Z-score? That is, what Z-score is needed so that p(Z) < .01, one tailed? What is the critical Z-score? That is, what Z-score is needed so that p(Z) < .01, one tailed? a.2.58 b.±2.33 c.2.33 d.1.64
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). For the general population of adolescents, scores on this questionnaire form a normal distribution with a
You collect a sample of group-participation adolescents with N = 100 and find their score is an average of M = 42.11. Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly higher than those of the general population? Use a one-tailed test with α = .01.
First, what is the standard error of the mean (SEM)?
a. 0.83
b.0.35
c.0.12
d.1.2
B) Second, what is the Z-score for the sample?
C) What is the critical Z-score? That is, what Z-score is needed so that p(Z) < .01, one tailed?
What is the critical Z-score? That is, what Z-score is needed so that p(Z) < .01, one tailed?
a.2.58
b.±2.33
c.2.33
d.1.64
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