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 having4 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 arethe lower and upper control limits for the Rchart?O a. 0,29.17O b. 0,31.17O c. 0,30.47O d. 0,24.71O e. 0, 28.17Of.None is correct

Answered: In a fabric manufacturing factory, the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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, 219.58, 208.24, 112.44, and 123.30 respectively. In the same sample, the corresponding ranges are: 13.17, 3.38, 15.34, 13.0 , and 13.02 respectively What are the lower and upper control limits for the X-bar chart? a . 157.21 , 177.05 b. 146.01, 157.87 c. 159.25, 175.02 d. 142.92, 160.66 e. 143.55, 165.47 f. None is correct
In a fabric manufacturing factory, the quality contral 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 X-bar chart?
McDaniel Shipyards wants to develop control charts to assess the quality of its steel plate. They take ten sheets of 1" steel plate and compute the number of cosmetic flaws on each roll. Each sheet is 20' by 100'. Based on the following data, develop limits for the control chart, plot the control chart, and determine whether the process is in control. Sheet Number of flaws 1 1 2 1 3 2 4 0 5 1 6 5 7 0 8 2 9 0 10 2
Webster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped. Management is concerned about whether the filling process for tubes of caulking is in statistical control. The process should be centered on 8 ounces per tube. Several samples of eight tubes were taken, each tube was weighed, and the weights in Table were obtained. Ounces of Caulking Per Tube Tube Number Sample 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7.98 8.33 7.89 8.24 7.87 8.13 8.34 8.22 7.77 8.18 8.13 8.14 8.02 8.08 7.91 7.83 7.92 8.11 7.94 8.51 8.04 8.05 7.99 8.13 8.44 8.41 8.00 7.90 8.10 8.14 7.68 8.28 7.89 8.16 7.81 8.12 7.81 8.09 7.93 7.97 8.14 8.13 8.11 8.16 8.09 8.07 7.88 8.14 a. Assume that only six samples are sufficient and develop the control charts for the mean and the range.b. Plot the observations on the control chart and comment on your findings.
At Webster Chemical Company, lumps in the caulking compound could cause difficulties in dispensing a smooth bead from the tube. Even when the process is in control, an average of four lumps per tube of caulk will remain. Testing for the presence of lumps destroys the product, so an analyst takes random samples. The following results are obtained: Tube No. Lumps Tube No. Lumps Tube No. 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 Determine the c-chart two-sigma upper and lower control limits for this process. Is the process in statistical control?
An operator wants to determine the standard deviation for a machine she operates. To do this, she wants to create a p-chart. Over a month's time, she collects 30 samples of 75 observations each and records the number of errors. The average proportion defective is found to be 0.024. Which of the following is the standard deviation () of the machine? a. More than 0.5 but less than or equal to 1.0 b. More than 1.0 c. Less than or equal to 0.1 d. More than 0.1 but less than or equal to 0.5
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 meanweight 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: a) What are the :X-chart control limits when the machine is working properly?b) What are the R-charL control limits when the machine is working properly?c) What seems to be happening? (Hint: Graph the data points. Run charts may be helpful.)
Studies on a machine that molds plastic water pipe indicate that when it is injecting1-inch diameter pipe, the process standard deviation is 0.05 inches. The one-inchpipe has a specification of 1-inch plus or minus 0.10 inch. What is the processcapability index (Cp) if the long-run process mean is 1 inch?
A manager wishes to build a control chart for a process. A total of hve (05) samples are collected with six x(06) observations within each sampleThe sample means (X-bar) are15.36, 14.61, 16.36, 20.28and 15.77 respectively. Also, the corresponding ranges are 8, 37, 4.81, 8.17 and 3.31 respectivelyThe lower and upper control limits of the x-bar chart are respectively
Bottles for room spray are supposed to weigh exactly oz. Inspectors want to develop process control charts . They take six boxes of five bottles each and weigh them . They obtain the following data . The mean weights of each of the 6 samples are 15.2, 14.6, 16.5, 18.1, 13.2 , and 14.8 respectively . Likewise , the range values for the each of 6 samples are 1.8, 0.7, 0.5, 0.4, 0.2 , and 0.9 respectively . Find out Grand Mean (X double bar ), and mean range (R bar )
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.
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?

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