Problem no.3 The thickness of a metal part is the quality characteristic that statistical process control...
4. (5 Points) Control charts are to be kept on the thickness measurements for the process that produces steel tubing. The current specifications on the tubing are 0.1340 +0.0010 inch. After collecting 25 rational samples of size n 4 measurements at approxi half-hour intervals, the data were used to determine the sum of sample averages as 4.014 inches and the sum of sample ranges as 0.027 inch. Using X-bar and R control charts the process was declared in-control. Assume that...
A study was conducted on the injection molding process of a vehicle hush panel. Briefly, the process starts with material being fed into the back end of the barrel and screw mechanism. The screw rotates and heat is added, melting the material and moving it to the front. The molten material is injected into a mold. The plastic is cured until it is solidified. This constitutes a cycle. A quality engineer at the General Motors Lansing site collected data on...
Problem 6 [Pencil version] X-bar and R charts with n= 4 were established with the centerlines of 10 and 2, respectively. Both charts didn't show any out-of-control signals. In other words, both process mean and variability were in statistical control. You just noticed an hour ago, however, that the process mean shifted to 14 and the process mean ended up being in out of control, while the process variability remains the same. In summary, Mo = 10, Mshifted = 14,...
A certain process has specifications of 15 to 25 for a particular characteristic. An X-bar/R control chart has bee in-pace and R-bar was 7.6; X-double-bar was 20.0, for a week there were no out-of-control points or patterns detected. Is this process capable of producing this characteristic within this specification? The subgroup size was 5. Second provide the cp value?
Control charts for and R are to be set up for an important quality characteristic. The sample size is n 5, and X and r are computed for each of 35 preliminary samples. The summary data are: X,7802 and ,r 1180 Round your answers to 2 decimal places (e.g. 98.76). (a) Find trial control limits forand R charts. X Control Limits UCL- CL= LCL- 3. R Control Limits: UCL LCL = (b) Assuming that the pracess is in control, estimate...
Problem 2 The thickness of a printed circuit board is an important quality characteristic. Data on board thickness (in inches) are given in Table 5E.1 (The table has been uploaded to Folio) for 25 subgroups of three boards each. (a) [Pencil version] Set up an R chart by computing the initial set of seven lines (USL, UWL, UOL, CL, LOL, LWL, and LCL). Is the process variability in statistical control? Use the 9 rules. Note: You are not asked to...
Samples of n = 6 items each are taken from a process at regular intervals. A quality characteristic is measured, and x-bar and R values are calculated for each sample. After 50 samples, we have Compute control limits for the x-bar and R control charts. All points on both control charts fall between the control limits computed in part (a). What are the natural tolerance limits of the process? If the specification limits are 41 ± 5.0, what are your...
Samples of n5 units are taken from a process every hour. The and R values for a particular quality char acteristic are determined. After 25 samples have been collected, we calculate 20 and R 4.56 (a) What are the three-sigma control limits for x and R? (b) Both charts exhibit control. Estimate the process standard deviation (c) Assume that the process output is normally dis- tributed. If the specifications are 19 t 5, what are your conclusions regarding the process...
04)- 244+3-15 marás) Control charts for X and R are mairnt S marks) Contr ol charts for X and R are maintained for quality characteristic. The and R are computed for each sample. After 30 samples, the following a computed: 6690 R-1030 a- What are the tria Ilimits for the R chart ? tb) Assuming that the R chart is in control, what are the trial limits for the X char? Estimate the process mean and standard devintion. (d- Ifthe...
A pizza restaurant monitors the size (measured by the diameter) of the 10-inch pizzas that it prepares. Pizza crusts are made from doughs that are prepared and prepackaged in boxes of 15 by a supplier. Doughs are thawed and pressed in a pressing machine. The toppings are added, and the pizzas are baked. The wetness of the doughs varies from box to box, and if the dough is too wet or greasy, it is difficult to press, resulting in a...