The Money Pit Mortgage Company is interested in monitoring the performance of the mortgage process. Fifteen samples of ve completed mortgage transactions each were taken during a period when the process was believed to be in control. The times to complete the transactions were measured. The means and ranges of the mortgage process transaction times, measured in days, are as follows: 15 Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 W Range 7 13 6 10 11 16 14 17 12 12 14 a 11 13 15 Subsequently, samples of size 5 were taken from the process every week for the next 10 weeks. The times were measured and the following results obtained: D Sample 16 17 18 19 20 21 22 23 24 25 Mean 9 11 6 12 14 17 10 19 17 15 Range 10 13 8 6 14 15 13 12 1O 8 a Click the icon to view the table of factors for calculating three-sigma limits for the ichart and Rchart. 3. Construct the control charts for the mean and the range, using the original 15 samples. Set up the R-chart by specifying the center line and three-sigma control limits below. (Enter your responses rounded to two decimal places.) R-chart UCLR = l: E = |: LCLR = l: Webster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped. Management is concerned about whether the lling process for tubes of caulking is in statistical control. The process should be centered on 8 ounces per tube. Several samples of eight tubes were taken, each tube was weighed, and the weights in the table below were obtained. a Click the icon to view the ounces of caulking per tube data. a Click the icon to view the table of factors for calculating three-sigma limits for the ichart and R-chart. a. Assume that only six samples are sufcient and develop the control charts for the mean and the range. Set up the R-chart by specifying the center line and three-sigma control limits below. (Enter your responses rounded to three decimal places.) R-chart UCLR = is = LCLR = An automatic lathe produces rollers for roller bearings, and the process is monitored by statistical process control charts. The central line of the chart for the sample means is set at 8.80 and for the mean range at 0.34 mm. The process is in control, as established by samples of size 4. The upper and lower specications for the diameter of the rollers are (8.80 + 0.35) and (8.80 - 0.35) mm, respectively. 3 Click the icon to View the table of factors for calculating three-sigma limits for the ichart and R-chart. a. Calculate the control limits for the mean and range charts. The UCLR equals El mm and the LCLR equals |:| mm. (Enter your responses rounded to two decimal places.) Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical quality dimension that determines whether the bottle cap will t properly. The dimensions (in.) from the last six samples are Bottle D Sample 1 2 3 4 1 0.621 0.579 0.608 0.621 2 0.590 0.592 0.593 0.620 3 0.603 0.592 0.624 0.614 4 0.601 0.601 0.610 0.610 5 0.611 0.570 0.589 0.586 6 0.599 0.607 0.612 0.573 a Click the icon to view the table of factors for calculating three-sigma limits for the ichart and R-chart. Suppose that the specication for the bottle neck diameter is 0.600 t 0.050 in. and the population standard deviation is 0.014 in. a. What is the process capability index? The Cpk is :|. (Enter your response rounded to two decimal places.) \fWebster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped. Management is concerned about whether the filling process for tubes of caulking is in statistical control. The process should be centered on 8 ounces per tube. Several samples of eight tubes were taken, each tube was weighed, and the weights in the table below were obtained Click the icon to view the o - X Click the icon to view the ta More info a. Assume that only six samples Set up the R-chart by specifying Tube number aces.) Sample 1 2 3 5 6 7 8 7.56 8.34 8.02 7.94 8.44 8.34 7.81 8.11 7.87 8.13 7.92 7.99 7.96 7.81 8.14 7.88 A W N - 8.08 7.96 7.83 8.26 8.16 8.03 7.84 7.91 7.89 7.77 7.87 8.04 8.00 7.89 7.93 8.09 8.24 8.18 7.83 7.94 7.90 8.16 7.97 8.07 8.13 8.14 8.11 8.13 8.14 7.92 8.13 8.14 Print DoneWebster Chemical Company produces mastics and caulking for the construction industry The product is blended in large mixers and then pumped into tubes and capped. Management i on 8 ounces per tube. Several samples of eig X More info Click the icon to vi Click the icon to vil Factors for calculating three-sigma limits for the x-chart and R-chart. a. Assume that only six Size of Sample Factor for UCL and LCL Factor for LCL for Factor for UCL for Set up the R-chart by s (n) for x-chart (A2) R-Chart (D3) R-Chart (D4) 1.880 3.267 1.023 2.575 0.729 2.282 0.577 2.115 7 6 0 VO) UI A W N 0.483 2.004 0.419 0.076 1.924 0.373 0. 136 1.864 0.337 0. 184 1.816 0.308 0.223 1.777 Print DoneAn automatic lathe produces rollers for roller bearings and the process is monitored by statistical process control charts. The central line of the chart for the sample means is set at 8.80 cations for the diameter of the rolle - X More info Click the icon t a. Calculate the con Factors for calculating three-sigma limits for the x-chart and R-chart The UCLR equals Size of Sample Factor for UCL and LCL Factor for LCL for Factor for UCL for (n) for x-chart (A2) R-Chart (D3) R-Chart (D4) 1.880 3.267 1.023 2.575 0.729 ooooo 2.282 0.577 2.115 76 0 VON UI A W N 0.483 2.004 0.419 0.076 1.924 0.373 0. 136 1.864 0.337 0.184 1.816 0.308 0.223 1.777 Print DoneAspen Plastics produces plastic bottles to customer order The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bott! samples are X More info Factors for calculating three-sigma limits for the x-chart and R-chart Size of Sample Factor for UCL and LCL Factor for LCL for Factor for UCL for (n) for x-chart (A2) R-Chart (D3) R-Chart (D4) 1.880 3.267 Click the icon t 1.023 2.575 0.729 ooooo 2.282 Suppose that the sp 0.577 2.115 760 0 V O) UI A W N 0.483 2.004 a. What is the proce 0.419 0.076 1.924 The Cok is . (End 0.373 0. 136 1.864 0.337 0. 184 1.816 0.308 0.223 1.777 Print Done