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	34	15	27
26	37	32	31
25	33	28	31
30	33	27	27
24	44	33	30
36	35	26	35
18		28	41
		32

  Click here for the Excel Data File

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?

• No

• Yes

Answer 1

Summary
Groups	N	Mean	Std. Dev.	Std. Error
Group 1	7	27.4	6.05	2.29
Group 2	6	36.0	4.19	1.71
Group 3	8	27.6	5.73	2.03
Group 4	7	31.7	4.92	1.86

ANOVA Summary
Source	Degrees of Freedom DF	Sum of Squares SS	Mean Square MS	F-Stat	P-Value
Between Groups	3	323.66	107.89	3.79	0.0234
Within Groups	24	683.02	28.46
Total:	27	1006.68

A) null and alternate hypothesis

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

α = 0.05

• Reject the null hypothesis if F > 3.01

B) since F= MST/MSE = 3.79

C) yes,we reject the null hypothesis.