There are three hospitals in the Tulsa, Oklahoma, area. The following data show the number of outpatient surgeries performed on Monday
There are three hospitals in the Tulsa, Oklahoma, area. The following data show the number of outpatient surgeries performed on Monday, Tuesday, Wednesday, Thursday, and Friday at each hospital last week. At the 0.05 significance level, can we conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week? |
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Day | St. Luke's | St. Vincent | Mercy |
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Monday | 14 | 18 | 24 |
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Tuesday | 20 | 24 | 14 |
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Wednesday | 16 | 22 | 14 |
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Thursday | 18 | 20 | 22 |
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Friday | 20 | 28 | 24 |
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Click here for the Excel Data File |
1. | Set up the null hypothesis and the alternative hypothesis. | ||
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| For Treatment: | ||
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| Null hypothesis | ||
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2. | Alternative hypothesis | ||
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3. | For blocks: | ||
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| Null hypothesis | ||
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4. | Alternative hypothesis | ||
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5. | State the decision rule for .05 significance level. (Round your answers to 2 decimal places.) |
For Treatment: |
Reject H0 if F> |
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For blocks: |
Reject H0 if F> |
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6. | Complete the ANOVA table. (Round SS, MS and F to 2 decimal places.) |
Source | SS | df | MS | F |
Treatments |
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Blocks |
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Error |
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Total |
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7. | What is your decision regarding the null hypothesis? | ||
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| The decision for the F value (Treatment) at 0.05 significance is: | ||
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8. | The decision for the F value (Block) at 0.05 significance is: | ||
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9. | Can we conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week? |
| There is (Click to select)no differencea difference in the mean number of surgeries performed by hospital or by day of the week. |
11 years ago
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