In: Math
ONE SAMPLE T-TEST
Assignment 1: Change in Mood Following a Romantic Movie Clip
A researcher asks participants to watch a short romantic movie clip. The movie clip depicts a romantic scene ending with two long-lost lovers embracing in a kiss. After the short romantic movie clip, participants are asked to indicate how the romantic movie clip has affected their mood on a bipolar scale ranging from -3 (much worse mood) to +3 (much better mood), with 0 indicating no change in mood. The results are given below. It was assumed that the average participant would give a rating of 0 if there were no change in mood. Test whether or not participants reported a significant change in mood at a .05 level of significance using a twotailed test.
SCORES: -3, -3, -3, -3, -3, -3, -3, -3, -3,
-2, -2, -2, -2, -2, -2, -2, -2, -2,
2,
-1, -1, -1, -1, -1, -1, -1
0, 0, 0, 0, 0, 0, 0, 0, 0, 0
With regard to the SPSS exercise, answer the following questions:
Based on the SPSS output, state the following values:
Sample size, Sample mean, Sample standard deviation, Estimated standard error
Based on the table shown in SPSS, state the following values associated with the test statistic:
Mean difference, t obtained (t), Degrees of freedom (df), Significance (2-tailed)
From the given data, using calculator, the following statistics are calculated:
(i) n = Sample size = 36
(ii) = Sample mean = - 50/36 = - 1.3889
(iii) s = Sample standard deviation = 1.2935
(iv) SE = Estimated standard error = s/
= 1.2935/
= 0.2156
(v) Mean difference = 1.3889
(vi)
tobtained = 1.3899/0.2156
= 6.4472
(vii)
Degrees of freedom (df) = n - 1 = 36 - 1 = 35
(viii)
= 0.05
Significance (2-tailed) = 2.0301
(ix)
Since calculated value of t is greater than critical value of t, the difference is significant. Reject null hypothesis.
Conclusion:
The data support the claim that the participants reported a
significant change in mood at a .05 level of significance using a
two tailed test.