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:
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?