Applied Statistics and Probability for Engineers

16-4 INTRODUCTION TO CONTROL CHARTS 605 1 LCL 2 3 4 5 6 7 8 9 10111213141516171819202122232425 Sample number UCL Center line x F ...

606 CHAPTER 16 STATISTICAL QUALITY CONTROL a particular pattern in terms of assignable causes requires experience and knowledge ...

16-5XAND ROR SCONTROL CHARTS 607 limits (sometimes called warning limits) partition the control chart into three zones A, B, and ...

608 CHAPTER 16 STATISTICAL QUALITY CONTROL The standard deviation of Wis called d 3. Because RW (16-4) Let Ribe the range of t ...

16-5XAND ROR SCONTROL CHARTS 609 and we would use as the upper and lower control limits on the Rchart (16-11) Setting D 3  1  ...

610 CHAPTER 16 STATISTICAL QUALITY CONTROL Assume that there are mpreliminary samples available, each of size n, and let Sidenot ...

16-5XAND ROR SCONTROL CHARTS 611 For the Rchart, the trial control limits are The and Rcontrol charts with these trial control l ...

612 CHAPTER 16 STATISTICAL QUALITY CONTROL and this result is nearly the same as from. The Schart is shown in Fig. 16-9. Because ...

16-5XAND ROR SCONTROL CHARTS 613 1 30 2 3 4 5 6 7 8 9 1011121314151617181920 Sample number X Chart 32 34 36 38 40 42 28 x Revise ...

614 CHAPTER 16 STATISTICAL QUALITY CONTROL 16-1. An extrusion die is used to produce aluminum rods. The diameter of the rods is ...

16-6 CONTROL CHARTS FOR INDIVIDUAL MEASUREMENTS 615 (a) Determine trial control limits for and Scharts. (b) Assuming the process ...

616 CHAPTER 16 STATISTICAL QUALITY CONTROL In process plants, such as papermaking, measurements on some parameters such as coat ...

16-6 CONTROL CHARTS FOR INDIVIDUAL MEASUREMENTS 617 d 2 1.128. For the data in Table 16-3 we have The control chart for individ ...

618 CHAPTER 16 STATISTICAL QUALITY CONTROL Some individuals have suggested that limits narrower than 3-sigma be used on the char ...

16-7 PROCESS CAPABILITY 619 (a) Using all the data, compute trial control limits for individ- ual observations and moving-range ...

620 CHAPTER 16 STATISTICAL QUALITY CONTROL The tolerance chart for all 20 samples from the vane-manufacturing process is shown i ...

16-7 PROCESS CAPABILITY 621 The process capability ratio(PCR) is PCR (16-20) USLLSL 6  Process Capability Ratio The numerator ...

622 CHAPTER 16 STATISTICAL QUALITY CONTROL nonconforming is 0.27%, or 2700 parts per million. Finally, when the PCRis less than ...

16-7 PROCESS CAPABILITY 623 estimate of the process capability ratio PCRkis Note that if PCRPCRk, the process is centered at th ...

624 CHAPTER 16 STATISTICAL QUALITY CONTROL is difficult to maintain a process mean at the center of the specifications for long ...