Questions 4 And 6

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#4What measure of effect size is used for acorrelated-groups t test?5. A researcher is interested in whether participatingin sports positively influences selfesteemin young girls. She identifies a groupof girls who have not played sports beforebut are now planning to begin participatingin organized sports. She gives them a50-item self-esteem inventory before theybegin playing sports and administers itagain after six months of playing sports.The self-esteem inventory is measured on aninterval scale, with higher numbers indicatinghigher self-esteem. In addition, scores onthe inventory are normally distributed. Thescores appear below.Before After44 4640 4139 4146 4742 4343 45a. What statistical test should be used toanalyze these data?b. Identify H0 and Ha for this study.c. Conduct the appropriate analysis.d. Should H0 be rejected? What should theresearcher conclude?e. If significant, compute the effect size andinterpret.f. If significant, draw a graph representingthe data.6. The student in Question 5 from Module 18decides to conduct the same study using awithin-subjects design in order to controlfor differences in cognitive ability. He selectsa random sample of participants andhas them study different material of equaldifficulty in both the music and no musicconditions. The data appear below. Asbefore, they are measured on an intervalratioscale and are normally distributed.Music No Music6 107 76 85 76 78 98 8a. What statistical test should be used toanalyze these data?b. Identify H0 and Ha for this study.c. Conduct the appropriate analysis.d. Should H0 be rejected? What should theresearcher conclude?e. If significant, compute the effect size andinterpret.f. If significant, draw a graph representingthe data.
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