Question

# One particular morning, the length of time spent in the examination rooms is recorded for each...

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

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.

H
0: 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

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.

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