Question 188357: CAN SOMEONE PLEASE HELP ME IN STATISTICS? THANK YOU SO MUCH!!!
There are three hospitals in a municipal area. The following data show the number of outpatient surgeries performed at each hospital last week. At the .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? Why or why not?
Number of Surgeries Performed
St. Luke's
Monday 14
Tuesday 20
Wednesday 16
Thursday 18
Friday 20
St. vincents
18
24
22
20
28
Mercy
24
18
20
22
24
Randomized blocks ANOVA
Mean n Std. Dev
20.53333333 17.600 5 2.608 Treatment 1
20.53333333 22.400 5 3.847 Treatment 2
20.53333333 21.600 5 2.608 Treatment 3
18.667 3 5.033 Block 1
20.667 3 3.055 Block 2
19.333 3 3.055 Block 3
20.000 3 2.000 Block 4
24.000 3 4.000 Block 5
20.533 15 3.583 Total
ANOVA table
Source SS df MS F p-value
Treatments 66.13 2 33.067 4.28 .0546
Blocks 51.73 4 12.933 1.67 .2482
Error 61.87 8 7.733
Total 179.73 14
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! There are three hospitals in a municipal area. The following data show the number of outpatient surgeries performed at each hospital last week. At the .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? Why or why not?
Number of Surgeries Performed
St. Luke's
Monday 14
Tuesday 20
Wednesday 16
Thursday 18
Friday 20
St. vincents
18
24
22
20
28
Mercy
24
18
20
22
24
Randomized blocks ANOVA
Mean n Std. Dev
20.53333333 17.600 5 2.608 Treatment 1
20.53333333 22.400 5 3.847 Treatment 2
20.53333333 21.600 5 2.608 Treatment 3
18.667 3 5.033 Block 1
20.667 3 3.055 Block 2
19.333 3 3.055 Block 3
20.000 3 2.000 Block 4
24.000 3 4.000 Block 5
20.533 15 3.583 Total
ANOVA table
Source SS df MS F p-value
Treatments 66.13 2 33.067 4.28 .0546
Blocks 51.73 4 12.933 1.67 .2482
Error 61.87 8 7.733
Total 179.73 14
--------------------------------------------
Ho: the means are equal
Ha: at least one of the means is different
------------
An ANOVA was run against the DATA giving a
p-value of 0.0546 which means we Fail to reject
Ho; the means are statistically equal.
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Cheers,
Stan H.
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