Do the different regions have a significant impact on World Happiness Index results? The researcher has selected random countries from three different regions: a) Europe, b) Asia, c) America. By using ANOVA set up correct hypothesis and analyse could the region affect the result of happiness index.
a) Would you reject the null-hypothesis? (Use the significance level of 5%). Please provide the explanation why do you reject or not reject your hypothesis.
b) Use the confidence level 99%. Is it possible to reject the null hypothesis? Why?
Europe | Europe | Europe |
7.44 | 6.81 | 7.07 |
7.31 | 6.77 | 5.97 |
7.19 | 6.37 | 5.96 |
7.14 | 6.37 | 6.26 |
6.98 | 6.34 | 6.19 |
6.97 | 6.32 | 6.43 |
6.93 | 6.44 | 6.42 |
6.91 | 6.11 | 6.39 |
6.71 | 6.10 | 6.38 |
6.63 | 6.08 | 6.38 |
6.49 | 6.07 | 6.17 |
6.12 | 6.14 | |
6.31 | 6.49 | |
6.17 | 6.48 | |
6.00 | ||
5.95 | ||
7.63 | ||
7.59 | ||
7.56 | ||
7.50 | ||
7.49 |
Anova: Single Factor
Groups | Count | Sum | Average | Variance |
Europe | 21 | 145.011 | 6.905285714 | 0.311450314 |
Asia | 11 | 69.795 | 6.345 | 0.0678042 |
America | 14 | 88.723 | 6.337357143 | 0.075079632 |
Source of Variation | SS | df | MS | F | P-value | F crit |
Between Groups | 3.638089913 | 2 | 1.819044957 | 9.922377853 | 0.000286278 | 3.214480328 |
Within Groups | 7.8830835 | 43 | 0.183327523 | |||
Total | 11.52117341 | 45 |
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