Chapter 16, Problem 1CSD

SELF-PERCEPTION AND PHYSICAL ACTIVITY

As you learned at the beginning of this chapter, Z, Veselska et al. explored connections between aspects of self-perception and physical activity among adolescents. The study involved a sample of adolescents from the Slovak and Czech Republics with ages ranging roughly between 12 and 16.

The youths sampled completed several self-perception questionnaires and also answered a question about their physical activity. The respondents were divided into three physical-activity categories: no physical activity (none), infrequent physical activity (infrequent), and everyday physical activity (everyday). Summary statistics for the researchers¹ findings for boys and girls separately are presented in the table on page 699.

First consider self-liking.

1. a. Assuming that self-liking scores for boys are approximately normally distributed in each physical-activity category, can we reasonably presume that the conditions for performing a one-way ANOVA are met? (Hint: Rule of 2)
2. b. Perform a one-way ANOVA to decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that a difference exists in mean self-liking scores among adolescent boys in the three physical-activity categories. Interpret your result.
3. c. If appropriate, conduct a Tukey multiple comparison of the three mean sell-liking scores and interpret your results. Use a family confidence level of 0.95.
4. d. Repeat parts (a)-(c) for girls.
5. 1. Next consider self-competence.
6. e. Assuming that self-competence scores for boys are approximately normally distributed in each physical-activity category, can we reasonably presume that the conditions for performing a one-way AN OVA are met?
7. f. Perform a one-way ANOVA to decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that a difference exists in mean sell-competence scores among adolescent boys in the three physical-activity categories. Interpret your result.
8. g. If appropriate, conduct a Tukey multiple comparison of the three mean self-competence scores and interpret your results. Use a family confidence level of 0.95.
9. h. Repeat parts (e)-(g) for girls.

Now select any one of the remaining aspects-of self categories and repeal parts (a)-(d).