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    Hypotheses - "The Collection from the Best of Classical Music"

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    Steven collected data from 20 college students on their emotional responses to classical music. Students listened to two 30-second segments from "The Collection from the Best of Classical Music." After listening to a segment, the students rated it on a scale from 1 to 10, with 1 indicating that it "made them very sad" to 10 indicating that it "made them very happy." Steve computes the total scores from each student and created a variable called "hapsad." Steve then conducts a one-sample t-test on the data, knowing that there is an established mean for the publication of others that have taken this test of 6. The following is the scores:

    5.0 5.0
    10.0 3.0
    13.0 13.0
    7.0 5.0
    5.0 15.0
    14.0 18.0
    8.0 12.0
    10.0 7.0
    3.0 15.0
    4.0 3.0

    a) Conduct a one-sample t-test. What is the t-test score? What is the mean? Was the test significant? If it was significant at what P-value level was it significant?

    b) What is your null and alternative hypothesis? Given the results did you reject or fail to reject the null and why?

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    Solution Preview

    a. mean=(5.0+5.0+10.0+3.0+13.0+13.0+7+5+5+15+14+18+8+12+10+7+3+15+4+3)/20=8.75
    standard ...