Question

One particular morning, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic.

Time in Examination Rooms (minutes)
Physician 1	Physician 2	Physician 3	Physician 4
33	31	19	27
23	32	29	31
27	33	30	31
30	32	26	27
25	43	29	32
35	32	26	31
20		24	41
		31

Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 2 decimal places.)

Treatment	Mean	n	Std. Dev
Physician 1
Physician 2
Physician 3
Physician 4
Total

One-Factor ANOVA
Source	SS	df	MS	F	p-value
Treatment
Error
Total

(a) Based on the given hypotheses, choose the correct option.

H₀: μ₁ = μ₂ = μ₃ = μ₄
H₁: Not all the means are equal

α = 0.05

• Reject the null hypothesis if F > 3.01

• Reject the null hypothesis if F < 3.01

(b) Calculate the F for one factor. (Round your answer to 2 decimal places.)

F for one factor is              

(c) On the basis of the above findings, we reject the null hypothesis. Is the statement true?

• Yes

• No

Answer 1

SUMMARY
Groups	Count, n	Sum	Mean	Std.Dev
Physician 1	7	193	27.6	5.41
Physician 2	6	203	33.8	4.54
Physician 3	8	214	26.8	3.92
Physician 4	7	220	31.4	4.69
Total	28	830	119.58
ANOVA
Source of Variation	SS	df	MS	F	P-value
Between Groups	224.67	3	74.89	3.47	0.0318
Within Groups	517.76	24	21.57
Total	742.43	27

(a) Based on the given hypotheses, choose the correct option.

H₀: μ₁ = μ₂ = μ₃ = μ₄
H₁: Not all the means are equal

α = 0.05

Reject the null hypothesis if F > 3.01

(b) Calculate the F for one factor.

F for one factor = 3.47

(c) Yes, we reject the null hypothesis.