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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
H0: St. Luke's= St. Vincent= Mercy
H0: St. Luke's St. Vincent Mercy

2. Alternative hypothesis
H1: Not all means are equal.
H1: All means are equal.

3. For blocks:
Null hypothesis
H0: Mon= Tue= Wed= Thu= Fri
H0: Mon Tue Wed Thu Fri

4. Alternative hypothesis
H1: All means are equal.
H1: Not all means are equal.

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:
RejectH0
Do not RejectH0

8. The decision for theFvalue (Block) at 0.05 significance is:
RejectH0
Do not RejectH0

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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