(Seems longer than it actually is! This is 1 of 25 problems issued for homework.) A researcher is interested in whether participating in sports...

(Seems longer than it actually is! This is 1 of 25 problems issued for homework.)

A researcher is interested in whether participating in sports positively influences self-esteem in 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 are as follows:        

Before

44

40

39

46

42

43

After

46

41

41

47

43

45

a) What statistical test should be used to analyze the data?

b) Identify the H0 and the Ha for this study?

c) Conduct the analysis

d) Should H0 be rejected? What should the researcher conclude?

e) If significant ,compute and interpret the effect size

f) If significant, draw graph representing the data

g) Determine the 95% confidence interval

.