SOLUTION: 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 C

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Question 627863: 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?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
using Excel Stat Analysis tool: Sample mean = 8.75 and s = 4.7337
"established mean for the publication of others that have taken this test of 6."
What is the t-test score? %28+8.75+-+6%29%2F%284.7337%2Fsqrt%2830%29%29 = 3.1819
What is the mean? mean of the sample was 8.75
Was the test significant? Yes
If it was significant at what P-value level was it significant? 99%
b)
What is your null and alternative hypothesis?
H%5Bo%5D mean = 6
H%5Ba%5D mean ≥ 6
Given the results did you reject or fail to reject the null and why?
Reject: 3.18 > 2.76

0.1 0.05 0.01 0.001
29 1.7 2.05 2.76 3.66