Answered: Childhood participants in sports,…

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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Childhood participants in sports, cultural groups, and youth groups appear to be related to improved self-esteem (McGee et al., 2006). In a representative study, a sample of n = 100 participants is given a standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean, µ = 50 and standard deviation, s = 15. The sample of adolescent participants had an average of M = 53.8.

What is the effect size Cohen’s d and what does it tell us about the effect?
2. Compute the z-statistic.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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