Answer to Question #24101 in Statistics and Probability for tnwilliams
3. A researcher is interested in whether listening to music helps or hinders test-performance. To control for differences in cognitive level, this researcher decides to use a within-participants design. He selects a random sample of participants and has them study different material of equal difficulty in both the music and no music conditions. Participants take a 20-item quiz on the material. The table below shows the scores on the quiz. The study is completely counterbalanced to control for order effects. The scores obtained are measured on an interval-ratio scale and are normally distributed. Music: 17,16,15,16,18,18; no music: 17,18,17,17,19,18. What statistical data should be used to analyze the data? Is this a one- or two-tailed test? Identify Ho and Ha for this study. Conduct the appropriate analysis. Should Ho be rejected? What should the researcher conclude? Calculate the 95 confidence interval.
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