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a. What statistical testshould be used to analyze the data? b. Is this a one- or

ID: 2955115 • Letter: A

Question

a.     What statistical testshould be used to analyze the data?

b.     Is this a one- or two-tailed test?

c.      What are H0and Ha for this study?

d.     Find tcvfrom appendix A in Jackson’s text.

e.      Compute tobt

f.      Should H0 berejected? What should the researcher conclude?

2.      A researcher hypothesizes that peoplewho listen to music via headphones have greater hearing loss andwill thus score lower on a hearing test than those in the generalpopulation. On a standard hearing test, the overall mean for thegeneral population is 22.5. The researcher gives this same test toa random sample of 12 individuals who regularly use headphones.Their scores on the test are 15, 14, 20, 20, 25, 22, 21, 19, 16,17, 21, 22.

a.     What statistical testshould be used to analyze the data?

b.     Is this a one- or two-tailed test?

c.      What are H0and Ha for this study?

d.     Compute tobt

e.      Should H0 berejected? What should the researcher conclude?

Explanation / Answer

a.      Whatstatistical test should be used to analyze thedata?

         T test


b.      Is this aone- or two- tailed test?

        One-tailed test


c.      What are H0 and Ha for thisstudy?

         Ho:>=60

         Ha:<60


d.      Findtcv from appendix A in Jackson’stext.

         t(=0.05,df=n-1=9)=-1.83


e.      Compute t obt

               t=(xbar-)/(s/n)

                =(51.5-60)/(6.02/sqrt(10))

                = -4.47


f.      Should H0 be rejected? What should theresearcherconclude?         

   SinceZ=-4.47<-1.83, we reject Ho.

   So wecan conclude that the runners’ pulseswould be slower                                 

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