Question: Test whether the means of the three samples are equal (same). For any test you conduct, clearly state your hypotheses, test statistic, critical value and
Test whether the means of the three samples are equal (same). For any test you conduct, clearly state your hypotheses, test statistic, critical value and conclusion. Using ANOVA table.
| SAMPLE 1 | SAMPLE 2 | SAMPLE 3 |
| 6,20833333 | 5,4083793 | 2,61083333 |
| 6,83333333 | 5,80292969 | 2,58416667 |
| 6,20833333 | 2,15488192 | 3,43166667 |
| 5,5 | 3,72761135 | 3,51166667 |
| 5,79166667 | 3,84884211 | 2,89 |
| 6,91666667 | 2,9968821 | 2,8725 |
| 7,5 | 4,0601148 | 3,29583333 |
| 8,25 | 4,36963574 | 3,38583333 |
| 8,33333333 | 0,38356913 | 3,43666667 |
| 8 | 3,71951767 | 3,38583333 |
| 8,16666667 | 2,6664455 | 3,77333333 |
| 8,83333333 | -2,03812 | 3,45416667 |
| 8,79166667 | -8,794289 | 3,4875 |
| 8 | -4,9757334 | 4,85416667 |
| 10,1666667 | 0,87677504 | 4,73916667 |
| 11,7916667 | 1,6388429 | 5,67333333 |
| 12,25 | 1,20216242 | 4,81583333 |
| 12,5 | 0,45982021 | 4,6275 |
| 12,125 | -4,4027856 | 4,3175 |
| 10 | -12,315003 | 4,74166667 |
| 9,5 | 3,51031778 | 4,85833333 |
| 14 | 4,692194 | 4,1975 |
| 19,3333333 | 0,12394905 | 3,7425 |
| 16,6666667 | 9,73808187 | 3,22166667 |
| 22,3333333 | 4,01045222 | 3 |
| 21,5 | -2,406257 | 3,93583333 |
| 14,3333333 | -1,7287005 | 3,90416667 |
| 12,5 | 0,15984622 | 3,78166667 |
| 15,3333333 | 2,22548303 | 3,3025 |
| 19,8333333 | 4,7826578 | 2,9975 |
| 21 | 4,02984784 | 3,20416667 |
| 20,3125 | 3,78646365 | 3,62916667 |
| 18,9058333 | 2,81175968 | 5,135 |
| 16,1583333 | 5,49673605 | 4,84666667 |
| 15,5833333 | 6,97043339 | 4,65416667 |
| 17,8958333 | 10,7641732 | 4,36833333 |
| 19,5208333 | 11,1241912 | 4,48416667 |
| 20 | 12,9929194 | 4,7425 |
| 21,7916667 | 10,2513631 | 5,25916667 |
| 18 | 5,24254801 | 5,14916667 |
| 14,5 | 5,6938568 | 4,39 |
| 13,7708333 | 3,15913479 | 4,09416667 |
| 15,75 | 8,66287287 | 4,5875 |
| 14,9583333 | 4,47270588 | 4,29333333 |
| 11,2916667 | 4,90843137 | 3,75916667 |
| 10,625 | 4,6222823 | 3,71916667 |
| 11,1666667 | 3,96627601 | 3,8275 |
| 13,1666667 | 5,78278398 | 4,05166667 |
| 15,125 | 3,91035884 | 4,3175 |
| 11,7083333 | 3,27434037 | 3,8575 |
| 9,83333333 | 2,31645303 | 3,41333333 |
| 9 | 3,29325345 | 3,5125 |
| 8,75 | 2,20878625 | 3,46416667 |
| 8,5 | 3,38995376 | 3,42166667 |
| 9,125 | 4,03729971 | 3,325 |
| 9,41666667 | 3,03339034 | 3,36416667 |
| 10,4583333 | 4,85196657 | 3,22916667 |
| 10,375 | 5,93437169 | 3,045 |
| 10,0833333 | 5,86782125 | 2,92666667 |
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