Every hour a quality control inspector measures the outside diameter of five parts. If the average of the means is 3 and the average range is 1.3, what is the upper control limit for the X-bar chart for this process? a. O b. -3.92 О с. 3.75 O d. 4.12 e. 5.74
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- Control charts for X-bar and R are maintained for the tensile strength of fibers used in composite materials. The specifications are 440+40. After 25 samples of size n=10 are analyzed, we find that: 25 25 X¡ = 12,870 Ri = 1,350 i=1 What are the limits of the R chart? UCL=65.54 and LCL=2.56 UCL=74.97 and LCL=9.41 UCL=79.96 and LCL=10.03 UCL=95.96 and LCL=12.04 UCL=72.82 and LCL=2.85From the list below of the data being collected, identify which data would be appropriate for X-bar and R control charts: Select ALL correct answers. Fluid ounces in a bottle of detergent Temperature of the fryer oil at the Lay's potato chip plant Number of mistakes per article in a newspaper Percentage of flights that were not on-time for an airline Pizzas not made to order for a local pizzeria Weight of a bag of chips. Density of a golf ball Percentage of patients that had a medication error during their hospital stay SECOND PART From the list below of the data being collected, identify which data would be appropriate for a P chart: Select ALL correct answers. Fluid ounces in a bottle of detergent Temperature of the fryer oil at the Lay's potato chip plant Number of articles with mistakes per every 100 sampled at a newspaper Percentage of flights that were not on-time for an airline Pizzas not made to order for a local pizzeria…a) Determine the center line and control limits for the X and R chart. The sample size is 5, and we repeated the same experiment 25 times. Subgroup 1 2 3 24 25 X 2.08 2.09 2.08 R .05 24 10 2.06 .13 2.09 11 Σ=52.00 | x=2.75 b) Suppose the specification limits for the above product are 2 ± 0.05. Is the process capable?
- Control charts for X-bar and R, using a subgroup size of 5, are to be applied to control thecritical dimension of a certain manufacturing process. Specifications call for a nominal dimension of1,250.000 + 0.050 mm. The process is believed to have a σ of 0.015 mm Determine appropriate control limits for the X-bar and R charts. a) After 12 subgroups have been drawn and X-bar and R plotted on the charts, a computation of X-double bar give 1,250.015. b1) What is the probability that a value of X-bar will fall within the limits if this is the true value of the mean setting? b2) What is the probability that all 12values fall within the control limits? b) Make the necessary calculations to determine if the process can meet specifications by solvingfor Cp, Cpu, CpL, Cpk . Assume a normal distribution of product output. Illustrate how the processwould look like relative to the result of the computations of the process capability analysis.Exercise : Control chart for X-R variablesThe data shown in the table represent the internal diameters (mm) of automobile engine piston rings.Each sample is made up of five parts and a total of 25 samples were collected. a) Construct limits and control charts for this critical quality characteristic. Is the process statistically controlled? b) If the product specifications are 74,000 +/- 0.05, determine the ability of the process to meet these specifications. Sample observations1 74.03 74.002 74.019 73.992 74.0082 73.995 73.992 74.001 74.011 74.0043 73.988 74.024 74.021 74.005 74.0024 74.002 73.996 73.993 74.015 74.0095 73.992 74.007 74.015 73.989 74.0146 74.009 73.994 73.997 73.985 73.9937 73.995 74.006 73.994 74.000 74.0058 73.985 74.003 73.993 74.015 73.9889 74.008 73.995 74.009 74.005 74.00410 73.998 74.000 73.99 74.007…Thirty-five samples of size 7 each were taken from afertilizer-bag-filling machine. The results were overall mean =57.75 lb; average range = 1.78 lb.a) Determine the upper and lower control limits of the x -chart,where s = 3.b) Determine the upper and lower control limits of the R -chart,where s = 3.
- Which of the following is not considered to be one of the seven basic quality tools 1)control charts 2)check sheet 3)histogram 4)ABC analysis 5)cause - and - effect diagramFor question 1 choose from the following: x bar-chart, c-chart, p-chart, or none of the about. 1. The process involving filling of a high value medicine into standard containers of 50 gms. 2. From a perspective of Statistical Process Control (SPC), a six-sigma process will have which of the following attributes? a) The USL and LSL will be separated by a distance of six sigma b) The process center will be aligned with the LSL c) The number of defects produced by the process will be 0.0018 parts per million d) All of the above 3. Which of the following statements depict the meaning of "total" in the term TQM? a) The total of all efforts put by the employees towards quality b) Total satisfaction of the customers about a company's products and services c) Ensuring every supplier follows quality practices in their work place d) Making quality happen everywhere in an organization by involving everyoneBriefly explain the purpose of each of these control charts:a. x-barb. Rangec. p-chartd. c-chart
- Jamison Kovach Supply Company manufactures paper clips and other office products. Although inexpensive, paper clips have provided the firm with a high margin of profitability. Sample size is 50. Results are given for the last 10 samples. Sample 1 2 3 4 5 6 7 8 9 10 Defectives 5 7 2 5 6 5 5 4 1 11 Part 2 The type of control chart that is best to monitor this process is p minus chartp−chart . Part 3 a) Establish the control limits to include 99.73% of the random variation in defectives. UCLp = enter your response here (enter your response as a number between 0 and 1, rounded to three decimal places).Studies on a machine that molds plastic water pipe indicate that when it is injecting 25.76 mm diameter pipe, the process standard deviation is 0.75 mm. The pipe has a specification of 25.76 mm plus or minus 1.95 mm. What is the process capability index (Cp)? O a. 0.4333 b. 2.6 О с. 1.733 O d. 0.8667Northshore hospital surgeon, Bill, wants to build 3-sigma x- bar control limits for the open heart surgery. The target value for the mean of the process (x-bar) is 10 units, and the standard deviation of the process is 8. If samples of size 16 are to be taken, what will be the upper and lower control limits, respectively? Question 33 options: 8 and 12 16 and 4 -8 and 28 18 and 6 16 and 4