(please show vivid workings- thank you)

As a researcher I am interested to know whether participating in sports positively influences self-esteem in young girls. I go ahead and identify a group of girls who never played any sports before but now are planning to get into organized sports. I gave them a 50 item self-esteem inventory test before they begin playing organized sports and administered the same test after 6 months of playing sports. The test is measured on an interval scale where higher numbers indicate high esteem. In addition scores on the inventory are normally distributed. See score below

Before After

44 46

40 41

39 41

46 47

42 43

43 45

a. which statistical test should be used to analyze the data

b. Null hypothesis and alternate hypothesis?

c. conduct appropriate analysis

d. Should null hypothesis 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