a. Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.)
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- Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. Use Exhibit 13.7. To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows: Use three-sigma control limits. c. Determine the UCL and LCL for a X−X− chart. (Round your answers to 3 decimal places.) d. Determine the UCL and LCL for R-chart. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places.)A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results : Machine #1 measurements [14, 13, 24, 22]; Machine #2 measurements [ 14, 19, 23, 14]; Machine #3 measurements [ 14, 16, 13, 16]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits? a. 24.65and 9.013 b. 22.43and 11.24 c. 18.9and 14.76 d. 39.83and -6.167Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Ross Hopkins is attempting to monitor a filling process that has an overall average of 725 mL. The average range R is 6 mL. For a sample size of 10, the control limits for 3-sigma x chart are: Upper Control Limit (UCLx) = nothing mL (round your response to three decimal places).
- A shirt manufacturer buys clothes by the 100-yard roll from a supplier. For setting a control chart to manage the irregularities (e.g., loose threads and tears), the following data were collected from a sample provided by the supplier. Sample 1 2 3 4 5 6 7 8 9 10 Irregularities 3 5 2 6 5 4 6 3 4 5 Which type of control chart should be used? Construct a control chart with two-sigma control limits. Suppose the next five rolls from the supplier had three, two, five, three, and seven irregularities. Is the supplier process under control? Explain and show workThe overall average on a process you are attempting to monitor is 60.0 units. The process population standard deviation is 1.72. Sample size is given to be 4. Part 2 a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCLx)=enter your response here units (round your response to two decimal places). Part 3 Lower Control Limit (LCLx)=enter your response here units (round your response to two decimal places). Part 4 b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCLx)=enter your response here units (round your response to two decimal places). Part 5 Lower Control Limit (LCLx)=enter your response here units (round your response to two decimal places). Part 6 How do the control limits change? A. The control limits are tighter for the 3-sigma x-chart than for the 2-sigma x-chart. B. The control limits for the 2-sigma x-chart and for the 3-sigma x-chart are the same. C. The control limits…Orlando Manufacturers has decided to use a c-Chart to monitor the number of defects per file cabinet produced by their manufacturing process. The c-Chart should be constructed with an alpha risk of 7%. The quality control manager randomly samples one file cabinet at 99 successively selected time periods and counts the number of defects in the file cabinet. Sample Defects1 112 83 74 145 56 117 48 69 13 Step 2 of 7: What is the Upper Control Limit? Round your answer to three decimal places.
- Refer to the table Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Your supervisor, Lisa Lehmann, has asked that you report on the output of a machine on the factory floor. This machine is supposed to be producing optical lenses with a mean weight of 50 grams and a range of 3.5 grams. The following table contains the data for a sample size of n=6 taken during the past 3 hours: Sample 1 2 3 4 5 6 7 8 9 10 x 55 47 49 50 52 57 55 48 51 56 R 3 1 5 3 2 6 3 2 2 3 Part 2 Set the control limits for this process for the x-chart when the machine is working properly. a) What are the x overbar-chart control limits when the machine is working properly? Calculate the upper control limit of the x overbar-chart Calculate the…The following data represents the number of weld defects observed in 24 samples of five printed circuit boards: 7 6 8 10 24 6 5 4 8 11 15 8 4 16 11 12 8 6 5 9 7 14 8 21. a) Using all the data, calculate the control limits. b) Can it be concluded that the process is in control? If not, suppose they can find the assignable causes, and recalculates the control limits once out of control points eliminated.2. The overall average on a process you are attempting to monitor is 50.0 units. The process population standard deviation is 1.72. Sample size is given to be 4. Part 2 a) Determine the 3-sigma x-chart control limits. (UCLx)=Upper Control Limit _______ units (round your response to two decimal places). Lower Control Limit (LCL- ) = _____ units (round your response to two decimal places). How do the control limits change? A-The control limits for the 2 -sigma overbar x-chart and for the 3-sigma x -chart are the same B- The control limits are tighter for the 2-sigma overbar x -chart than for the 3-sigma x -chart. C- The control limits are tighter for the 3-sigma overbar x -chart than for the 2-sigma x -chart.
- An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of 1.0 liter and a standard deviation of .01 liter. Output is monitoredusing means of samples of 25 observations.a. Determine upper and lower control limits that will include roughly 97 percent of the samplemeans when the process is in control.b. Given these sample means: 1.005, 1.001, .998, 1.002, .995, and .999, is the process in control?A process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as follows: SEE ATTACHED PHOTO Using this information, obtain three-sigma (i.e., z=3) control limits for a mean control chart and control limits for a range chart, respectively. It is known from previous experience that the standard deviation ofthe process is 1.36.At Webster Chemical, lumps in the caulking compound could cause difficulties in dispensing a smooth bead from the tube. Even when the process is in control, there will still be an average of 4 lumps per tube of caulk. Testing for the presence of lumps destroys the product, so Webster takes random samples. The table below shows the results of the study. Determine the two-sigma upper and lower control limits for this process. Tube # Lumps Tube # Lumps Tube # Lumps 1 6 5 6 9 5 2 5 6 4 10 0 3 0 7 1 11 9 4 4 8 6 12 2