Question: Please advise if I have done this question correctly: A production manager is comparing between three production methods. A B C The productivity (number of
Please advise if I have done this question correctly:
| A production manager is comparing between three production methods. | A | B | C | |||||||||||||
| The productivity (number of units produced per day) of the three production methods for the last 25 days | 45 | 39 | 43 | |||||||||||||
| is presented in the table titled "Production Methods." | 42 | 37 | 41 | |||||||||||||
| At the = .05 level of significance, test whether the means for the three production methods are equal. | 78 | 62 | 66 | |||||||||||||
| 56 | 47 | 51 | ||||||||||||||
| 45 | 39 | 43 | ||||||||||||||
| Anova: Single Factor | 71 | 57 | 61 | |||||||||||||
| Summary | 52 | 44 | 48 | |||||||||||||
| Anova: Single Factor | 59 | 49 | 53 | |||||||||||||
| 52 | 44 | 48 | ||||||||||||||
| SUMMARY | 48 | 41 | 45 | |||||||||||||
| Groups | Count | Sum | Average | Variance | 81 | 64 | 68 | |||||||||
| Column 1 | 25 | 1477 | 59.08 | 198.9933 | 76 | 61 | 65 | |||||||||
| Column 2 | 25 | 1222 | 48.88 | 97.44333 | 65 | 53 | 57 | |||||||||
| Column 3 | 25 | 1321 | 52.84 | 97.80667 | 63 | 52 | 56 | |||||||||
| 52 | 44 | 48 | ||||||||||||||
| 41 | 36 | 40 | ||||||||||||||
| ANOVA | 47 | 40 | 44 | |||||||||||||
| Source of Variation | SS | df | MS | F | P-value | F crit | 58 | 48 | 52 | |||||||
| Between Groups | 1322.16 | 2 | 661.08 | 5.030497 | 0.009017 | 3.123907 | 69 | 56 | 60 | |||||||
| Within Groups | 9461.84 | 72 | 131.4144 | 95 | 74 | 78 | ||||||||||
| 62 | 51 | 55 | ||||||||||||||
| Total | 10784 | 74 | 51 | 43 | 47 | |||||||||||
| 42 | 37 | 41 | ||||||||||||||
| 53 | 45 | 48 | ||||||||||||||
| 74 | 59 | 63 |
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