There are three hospitals in the Tulsa, Oklahoma, area. The following data show the number of outpatient surgeries performed on Monday

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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 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: µSt. Luke's = µSt. Vincent = µMercy

H0: µSt. Luke's ≠ µSt. Vincent ≠ µMercy

 

 

2.

Alternative hypothesis

 

 

 

H1: Not all means are equal.

H1: All means are equal.

 

 

3.

For blocks:

 

 

 

Null hypothesis

 

H0: µMon = µTue = µWed = µThu = µFri

H0: µMon ≠ µTue ≠ µWed ≠ µThu ≠ µFri

 

 

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:

  

  Reject H0 if F>

  

  

       For blocks:

  

  Reject H0 if F>

  

  

6.

Complete the ANOVA table. (Round SS, MS and F to 2 decimal places.)

 

  Source

SS

df

MS

F

  Treatments

  

  

  

  

  Blocks

  

  

  

  

  Error

  

  

  

 

  

 

 

 

 

  Total

  

  

 

 

  

 

 

 

 

 

 

7.

What is your decision regarding the null hypothesis?

 

 

 

The decision for the F value (Treatment) at 0.05 significance is:

 

Reject H0

Do not Reject H0

 

 

8.

The decision for the F value (Block) at 0.05 significance is:

 

 

 

Reject H0

Do not Reject H0

 

 

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
Answer for: There are three hospitals in the Tulsa, Oklahoma, area. The following data show the number of outpatient surgeries performed on Monday
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