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- 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 Measurements #1 17 15 15 17 #2 16 25 18 25 # 3 23 24 23 22 What is the estimate of the process mean for whenever it is under control? What is the sample average range based upon this limited sample? What are the x-bar chart upper and lower control limits?1. The overall average on a process you are attempting to monitor is 55.0 units. The process population standard deviation is 1.84. Sample size is given to be 16. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCLx)=56.3856.38 units (round your response to two decimal places). Lower Control Limit (LCLx)=53.6253.62 units (round your response to two decimal places). b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCLx)=? units (round your response to two decimal places). 2. Sample Size, n Mean Factor, A2 Upper Range, D4 Lower Range, D3 2 1.880 3.268 0 3 1.023 2.574 0 4 0.729 2.282 0 5 0.577 2.115 0 6 0.483 2.004 0 7 0.419 1.924 0.076 8 0.373 1.864 0.136 9 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284 Thirty-five samples of size 7 each were taken from a…In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 172.11, 219.58, 208.24, 112.44, and 123.30 respectively. In the same sample, the corresponding ranges are: 13.17, 13.38, 15.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the X-bar chart? O a. None is correct O b. 143.55, 165.47 Oc. 144.78, 159.11 O d. 157.21, 177.05 O e. 146.01, 157.87 Of. 142.92, 160.66
- 1. The data shown in Table 1 are x and R values for 20 samples of size n= 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 31.6 should be 0.50316). Please show all your work for full credit. (a) Set up x and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. (b) Assume that diameter is normally distributed. Estimate the process standard deviation. Sample R Sample R 1 31.6 4 11 29.8 4 33.0 3 12 34.0 4 35.0 4 13 33.0 10 4 32.2 4 14 34.8 4 5 33.8 38.4 31.6 15 35.6 7 3 16 30.8 7 4 17 33.0 5 8 36.8 10 18 31.6 3 9. 35.0 15 19 28.2 9 10 34.0 6 20 33.8 Table 1: Bearing Diameter DataIn a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the Rchart? O a. 0,29.17 O b. 0,31.17 O c. 0,30.47 O d. 0,24.71 O e. 0, 28.17 Of. None is correctIn a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? O a. 156.55, 170.47 O b. 143.55, 165.47 O c. 144.77, 159.11 Od. 145.40, 190.72 O e. 142.92, 160.66 Of. None is correct
- In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? a. 143.55, 165.47 b. 145.40, 190.72 С. 144.77, 159.11 O d. 142.92, 160.66 e. None is correct O f. 156.55, 170.47In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? ר O a. 142.92, 160.66 O b. 144.77,159.11 Oc. None is correct O d. 143.55, 165.47 O e. 156.55, 170.47 Of. 145.40, 190.72 OUS PAGE NEXT PAGE Type here to search - F5 F7 Pris F8 F9 F10 F12 %23 & 3 5 V 8 19 E T Y H. J K 1. 10 C V B NiM Alt く I LIIn a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 6 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? O a. None is correct O b. 146.01, 157.87 Oc. 142.92, 160.66 Od. 143.55, 165.47 Oe. 156.55, 170.47 Of. 144.78, 159.11
- In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 172.11, 219.51 . 208.24, 112.44 and 123.30 respectively. In the same sample, the corresponding ranges are: 13.1713.3815.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the R chart?At Gleditsia Triacanthos Company, a certain manufactured part is deemed acceptable if its lengthis between 12.45 to 12.55 inches. The process is normally distributed with an average of 12.49inches and a standard deviation of 0.014 inches. A) Is the process capable of meeting specifications? B) Does the process meet specifications?The 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…