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
34	32	19	26
22	34	32	35
25	32	32	32
32	28	25	29
24	40	34	30
37	31	30	35
19		24	40
		27

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             Not attempted

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

• No

• Yes

Answer 1

putting above data in excel: data-data analysis: ANOVA(one factor):

	Mean	n	Std. Dev
Physician 1	27.6	7	6.75
Physician 2	32.8	6	4.02
Physician 3	27.9	8	5.06
Physician 4	32.4	7	4.65
Total	30.0	28	5.54

Source	SS	df	MS	F	p-value
Treatment	166.86	3	55.62	2.01	.1389
Error	663.14	24	27.63
Total	830.00	27

a)

Reject the null hypothesis if F > 3.01

b)

F for one factor is   =2.01

c)

No (since test statistic is less than critical value)