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 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.

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             Not attempted

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

• No

• Yes

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)

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