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The following table shows samples of response times for an emergency ambulance service. The data cover a historically representative seven days. Four response calls were picked at random each day: one during the morning, afternoon, evening and night shift for each day. Day Shift 4 4.3 Morning 2.9 6.7 2.8 3.6 4.5 7.1 Afternoon 5.2 6.3 6.2 2.8 5.8 4.7 5.6 Evening 7.2 3.8 3.9 6.5 5.9 6.9 3.8 Night 4.9 6.9 4.3 5.6 3.2 4.9 4.9 Part 1 Using the data in question 6, what are the upper and lower control limits for an R chart with a sample size of four? UCL = 5.9, LCL = 0 a. b. UCL = 7.02, LCL = 0 UCL = 7.02, LCL = 0.28 C. UCL = 8.3, LCL = 0 d. None of the above e.
Part 2 After the emergency ambulance service in question 6 had established its control chart, the following week, on the fifth day of Spring Break, the following sample of ambulance response times (in minutes) was collected: 4.8, 6.5, 7.9, 8.5. Based on these data, should the ambulance service be concerned about its performance? No, X-bar = 6.9, R-bar = 3.7; sample mean and range are in control limits; no corrective action is a. needed. b. Yes, X-bar = 6.9, R-bar = 3.7; sample mean and range are outside control limits; corrective action is needed. Yes, X-bar = 6.9, R-bar = 3.7; sample mean is within control limit, sample range is outside control limit; corrective action is needed. C. Yes, X-bar = 6.9, R-bar = 3.7; sample mean is on control limit and last two response times are outside of control limits; corrective action should be taken. d. None of the above. e.
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