10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

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Chapter 7, Problem 18RP

Athletic Coping Skills Inventory. The Athletic Coping Skills Inventory (ACSI) is a test to measure psychological skills believed to influence athletic performance. Researchers E. Estanol et al. studied the relationship between ACSI scores and eating disorders in dancers in the article “Mental Skills as Protective Attributes Against Eating Disorder Risk in Dancers (Journal of Applied Sport Psychology, Vol. 25, No. 2, pp. 209–222). The study found that dancers’ ACSI scores are (approximately) normally distributed with mean 49.34 points and standard deviation 10.14 points.

a. Use the technology of your choice to simulate 1000 samples of four dancers’ ACSI scores each.
b. Find the sample mean of each of the 1000 samples obtained in part (a).
c. Obtain the mean, the standard deviation, and a histogram of the 1000 sample means.
d. Theoretically, what are the mean, standard deviation, and distribution of all possible sample means for samples of size 4?
e. Compare your answers from parts (c) and (d).

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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Chapter 7, Problem 17RP

Chapter 7, Problem 19RP

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Solution Summary: The author explains how to generate 1,000 samples of four dancers ACSI scores using the technology.

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