Use the following information to answer questions 915.
The length of time spent in the examination room is recorded for each patient seen by each physician at an orthopedic clinic.
Does the data provide a significance difference in mean times?
Physician 1 
Physician 2 
Physician 3 
Physician 4 

34 
33 
17 
28 

25 
35 
30 
33 

27 
31 
30 
31 

31 
31 
26 
27 

26 
42 
32 
32 

34 
33 
28 
33 

21 
26 
40 

29 

X_{.1}=198 
X_{. 2}=205 
X_{.3}=218 
X_{.4}=224 
The null hypothesis for this ANOVA problem is:
H_{0}: μ_{1}=μ_{2} 

H_{0}: μ_{1}=μ_{2}=μ_{3}


H_{0}: μ_{1}=μ_{2}=μ_{3}=μ_{4} 

H_{0}: μ_{1}=μ_{2}=μ_{3}=μ_{4}=μ_{5} 
10 points
QUESTION 10
The total sum of squares, (SST) equals:
450.55 

698.11 

212.35


485.76 
10 points
QUESTION 11
The sum of squares between treatments (SSTR) equals:
450.55


698.11


212.35 

d) 485.76 
10 points
QUESTION 12
The test statistic to test the null hypothesis equals:
0.59 

1.06 

3.50 

19.231 
10 points
QUESTION 13
The null hypothesis is to be tested at the 5% level of significance. The critical value from the table is:
2.54 

3.72


3.01 

2.78 
The statistical software output for this problem is :
H_{0}: μ_{1}=μ_{2}=μ_{3}=μ_{4}
SST = 698.11
SSTR = 212.35
test statistic = 3.50
Critical value = 3.01
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