Question

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      St. Vincent      Mercy

Mon       24                 26                     22

Tues      21                 22                     20

Wed        20              32                    28

Thur       19                  22                 27

Fri           29                 22                   14

A.) Complete the ANOVA Table:(round to 2 decimal places)

Treatments, blocks,error total. SS, DF, MS, F

Answer 1

For the given data using Anova without replication in Excel we get output as

ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Blocks	60.4	4	15.1	0.574144	0.689523	3.837853
Treatments	19.6	2	9.8	0.372624	0.70028	4.45897
Error	210.4	8	26.3
Total	290.4	14

so from the above output

Conclusion : At the 0.05 significance level, we fail to reject H0 .So  can we conclude that there is no difference in the mean number of surgeries performed by hospital or by day of the week