A researcher is interested in whether participat-ing in sports positively influences self-esteem in young girls. She identifies a group of girls who have not played sports before but are now plan-ning to begin participating in organized sports. The researcher gives them a 50-item self-esteem inventory before they begin playing sports and administers the same test again after 6 months of playing sports. The self-esteem inventory is measured on an interval scale, with higher num-bers indicating higher self-esteem. In addition, scores on the inventory are normally distributed. The scores follow: Before: 44 40 39 46 42 43 After: 46 41 41 47 43 45 a. What statistical test should be used to analyze these data? b. Identify H0 and Ha for this study. c. Conduct the appropriate analysis. d. Should H0 be rejected? What should the researcher conclude? e. If significant, compute and interpret the effect size.
A researcher is interested in whether participat-ing in sports positively influences self-esteem in young girls. She identifies a group of girls who have not played sports before but are now plan-ning to begin participating in organized sports. The researcher gives them a 50-item self-esteem inventory before they begin playing sports and administers the same test again after 6 months of playing sports. The self-esteem inventory is measured on an interval scale, with higher num-bers indicating higher self-esteem. In addition, scores on the inventory are
Before:
44
40
39
46
42
43
After:
46
41
41
47
43
45
a. What statistical test should be used to analyze these data?
b. Identify H0 and Ha for this study.
c. Conduct the appropriate analysis.
d. Should H0 be rejected? What should the researcher conclude?
e. If significant, compute and interpret the effect size.
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