Question

A police station in City D has instituted a quality-improvement program that makes extensive use of SPC charts. It wants to monitor the response times for emergency calls to make sure they stay around nine minutes on average. The administration staff randomly times five emergency calls each month during a 6 month period and collects the following data. Month Response Times (mins) 10.1 6.1 9.7 15.6 9.3 10.3 8.9 11.5 7.3 9.3 7.5 10.7 9.9 11.2 8.1 9.4 8.5 11.5 10.4 7.5 6.4 9.6 11.6 7.5 14.3 6.9 2 10.4 6.6 7.4 9.6 4 6 1) Develop a mean control chart and evaluate whether the emergency response process is in control. (20%) Develop an R-chart and evaluate whether the emergency response process is in control. (20%) 2)
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MİNİ。 5l Mean(averaR LCLx UCL X-bar-bar LCLr UCLr R-ba 1.57 0.00 1177 5.5 10.10 8.90 7.30 8.10 3.70 16 4.78 X-bar Chart 1.50 0.40 6.60 7,40 6.40 1.072 11601.232 14.30 1672 11.50 10,40 1570.00 11.77 5.57 1.571 0.001 11.77| 5.57 10.70 1120 Mean of all means 1.565 5.567 10 For subgroup size 5constants are as follows Sample size n=5 Sa D3-0,04- 12 RChart 2.114 Xbar charl A2-0577 1.57 -Mean (average) (x-bar) -LCLX -UCLX -X-bar-bar control Limit UCL) control Limit bar+A2 UCL) 14 Rbar) R-Chart Control D3 (Rbar) ControlA2 IR 15 16 17 18 1 As can be seen fromtheX-bar chart, the proces is in control 19 2. As can be seen from the R-chart the process is in control 20 21 14.00 12.00 10.00 8.00 6.00 4.00 2.00 0.00 23 25 26 27 _Range_LCLrucLr_R-bar

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