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# Conducting a One-Sample t-Test

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Scenario: 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 are 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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## One Sample t-Test on Hypothesis

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?
(Use instructions on page 437 of your textbook, under Hypothesis Tests with the t Distribution to conduct SPSS or Excel analysis).

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