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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
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? |
Number of Surgeries Performed | |||
Day | St. Luke's | St. Vincent | Mercy |
Monday | 14 | 18 | 24 |
Tuesday | 20 | 24 | 14 |
Wednesday | 16 | 22 | 14 |
Thursday | 18 | 20 | 22 |
Friday | 20 | 28 | 24 |
Click here for the Excel Data File |
1. | Set up the null hypothesis and the alternative hypothesis. | ||
For Treatment: | |||
Null hypothesis | |||
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2. | Alternative hypothesis | ||
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3. | For blocks: | ||
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: |
RejectH0ifF> |
For blocks: |
RejectH0ifF> |
6. | Complete the ANOVA table.(Round SS, MS andFto 2 decimal places.) |
Source | SS | df | MS | F |
Treatments | ||||
Blocks | ||||
Error | ||||
Total | ||||
7. | What is your decision regarding the null hypothesis? | ||
The decision for theFvalue (Treatment) at 0.05 significance is: | |||
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8. | The decision for theFvalue (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 differencein the mean number of surgeries performed by hospital or by day of the week. |
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