In: Math
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One particular morning, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic. |
| Time in Examination Rooms (minutes) | |||
| Physician 1 | Physician 2 | Physician 3 | Physician 4 |
| 36 | 34 | 17 | 27 |
| 22 | 34 | 28 | 30 |
| 29 | 33 | 29 | 33 |
| 32 | 29 | 26 | 25 |
| 25 | 44 | 31 | 33 |
| 33 | 35 | 26 | 35 |
| 19 | 27 | 42 | |
| 30 | |||
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Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 3 decimal places.) |
| Treatment | Mean | n | Std. Dev |
| Physician 1 | |||
| Physician 2 | |||
| Physician 3 | |||
| Physician 4 | |||
| Total | |||
| One-Factor ANOVA | |||||
| Source | SS | df | MS | F | p-value |
| Treatment | |||||
| Error | |||||
| Total | |||||
| (a) |
Based on the given hypotheses, choose the correct option. |
| H0: μ1 = μ2 = μ3 = μ4 | |
| H1: Not all the means are equal | |
| α = 0.05 | |
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| (b) |
Calculate the F for one factor. (Round your answer to 2 decimal places.) |
| F for one factor is |
| (c) |
On the basis of the above findings, we reject the null hypothesis. Is the statement true? |
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