A researcher is interested in whether participating in sport positively influences self-esteem n young girls. She identifies a group of girls who have not played sports before but are now planning 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 numbers indicating higher self-esteem. In addition, scores on the inventory are normally distributed. The scores follow. BeforeAfter
44 46
40 41
39 41
46 47
42 43
43 45
a. What statistical test should be used to analyze these data?
b. Identify the null and the alternative for this study.
c. Conduct the appropriate analysis
d. Should the null be rejected? What should the researcher conclude?
e. If significant, compute and interpret the effect size.
f. If significant, draw a graph representing the data.
g. Determine the 95% confidence interval.