Question: Using MINITAB to solve the following problem: At an outpatient clinic the management decided to take random samples comprising 8 ambulatory patients on each weekday

Using MINITAB to solve the following problem:

At an outpatient clinic the management decided to take random samples comprising 8 ambulatory patients on each weekday for four weeks to study the patients waiting times and assess if the quality requirement for patient waiting times was met. The employees at the clinic were not aware of this investigation. The waiting time of each patient was recorded. A patient's waiting time is the period starting when the patient arrives at the clinic and ending when a technologist sees the patient. Thus 20 samples each comprising 8 randomly selected waiting times were recorded. Create Xbar-R chart and explain. Can you explain the special cause variation? The patient expectation is 20 minutes. Are there defects in the process?

Day Obs 1 Obs 2 Obs 3 Obs 4 Obs 5 Obs 6 Obs 7 Obs 8
Monday 18.95 12.23 17.36 12.27 20.20 14.97 32.67 15.65
Tuesday 27.02 24.06 21.10 13.82 16.81 16.15 10.96 19.23
Wednesday 21.50 22.21 21.06 15.62 19.15 23.38 16.16 18.01
Thursday 21.56 18.89 14.89 18.17 18.23 17.09 13.68 19.26
Friday 21.77 13.68 28.24 19.90 11.39 28.21 14.53 17.74
Monday 14.31 8.49 13.23 13.84 19.86 13.52 14.16 10.55
Tuesday 13.84 8.15 13.43 21.31 10.29 14.31 7.22 9.58
Wednesday 7.34 9.79 10.68 15.54 18.83 15.91 18.87 11.64
Thursday 12.96 14.11 16.82 20.21 20.65 22.78 23.98 24.96
Friday 19.17 17.94 18.09 20.19 23.21 13.50 20.43 11.04
Monday 11.84 13.45 7.78 19.10 12.66 15.42 18.00 8.85
Tuesday 12.19 12.46 7.09 16.90 15.13 19.53 14.31 15.69
Wednesday 13.51 14.21 14.25 8.52 9.11 21.20 10.51 24.23
Thursday 9.99 12.52 13.39 14.78 13.78 16.86 16.92 14.75
Friday 18.97 19.52 21.23 21.08 13.78 20.36 25.87 23.63
Monday 12.97 14.28 11.31 15.77 25.88 13.30 15.88 20.23
Tuesday 10.20 14.01 6.73 10.75 14.42 7.37 12.26 18.59
Wednesday 10.16 14.83 11.60 11.96 13.80 15.50 16.06 13.49
Thursday 13.89 16.21 15.79 18.21 10.51 9.15 12.32 9.13
Friday 18.79 20.53 19.87 21.47 25.75 20.11 12.95 15.59

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