a. Construct an A -chart for this process with Two Sigma limits. (Round the final answers to 2 decimal places.) Control Limits b. Is the process in control? O Yes O No UCL LCL
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- Suppose a manufacturing process produces small metal rods. The desired length of these rods is 50 cm. Quality control personnel take samples of 5 rods every hour and measure their lengths. After 8 hours, they have the following data for the average lengths (in cm) of the 8 samples: Hour (h): 1, 2, 3, 4, 5, 6, 7, 8Average Length (X-bar): 49.8, 50.2, 50.1, 49.9, 50.3, 50.1, 49.7, 50.0 Additionally, the standard deviation (s) for each sample is provided: Hour (h): 1, 2, 3, 4, 5, 6, 7, 8Standard Deviation (s): 0.1, 0.12, 0.11, 0.1, 0.12, 0.11, 0.09, 0.1 Based on the given data, is the process under control?The time needed for performing a machining operation is to be investigated. Historically, the process has had a standard deviation equal to 0.146 minutes. The means (in minutes) of 39 samples of n = 6 are: sample mean sample mean sample mean 1 3.86 14 3.81 27 3.81 2 3.90 15 3.83 28 3.86 3 3.83 16 3.86 29 3.98 4 3.81 17 3.82 30 3.96 5 3.84 18 3.86 31 3.88 6 3.83 19 3.84 32 3.76 7 3.87 20 3.87 33 3.83 8 3.88 21 3.84 34 3.77 9 3.84 22 3.82 35 3.86 10 3.80 23 3.89 36 3.80 11 3.88 24 3.86 37 3.84 12 3.86 25 3.88 38 3.79 13 3.88 26 3.90 39 3.85 the averagee of the 39-sample means is equal to 3.85. construct an xbar-chart for this process with two-sigma limits. Is the process in control?The operations manager of a Soft drink company is concerned about Machine No.3 in the assembly line. In order to make sure that the machine is operating correctly, samples are taken, and the average and range for each sample is computed. Each sample consists of 10 items produced from that machine. Recently, 12 samples were taken and the sample range and average computed for each are as follows: Sample Number Sample Range Sample Mean 1 1.00 45 2 1.21 44 3 0.81 45 4 1.00 46 5 1.11 47 6 0.72 46 7 0.76 49 8 1.01 48 9 1.02 50 10 0.89 51 11 0.76 49 12 1.10 51 During installation, the supplier set an average of 46 for the process with an average range 0.9. (a) Draw the appropriate control charts for machine No. 3. (b) Comment on your results.
- 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, 160.66In 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 R chart? O a. 0,31.47 O b. 0,30.99 Oc. None is correct O d. 0,29.17 O e. 0,31.17 O f. 0,28.17In 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 correct
- Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R 4.48 mm (round your response to two decimal places). c) What are the UCL; and LCL; using 3-sigma? Day 1 2 3 4 5 Upper Control Limit (UCL) = 156.94 mm (round your response to two decimal places). Lower Control Limit (LCL-) = 154.18 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCL) = 7.96 mm (round your response to two decimal places). Mean x (mm) 154.9 153.2 155.6 155.5 158.6 Range R (mm) 4.0 4.8 3.9 5.0 4.7 Lower Control Limit (LCL) = 1.00 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want…Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? = x= 156.76 mm (round your response to two decimal places). b) What is the value of R? R= mm (round your response to two decimal places). Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 Range R (mm) 4.2 4.4 4.3 4.8 4.3Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: Sample Sample Mean(in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 9.402 0.033 7 9.401 0.041 2 9.404 0.041 8 9.407 0.034 3 9.391 0.034 9 9.393 0.027 4 9.406 0.051 10 9.401 0.029 5 9.397 0.031 11 9.403 0.039 6 9.399 0.036 12 9.404 0.047 Part 2 For the given data, the x = enter your response here inches (round your response to four decimal places).
- 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? 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 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? 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 LI