Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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In a control chart, what would be the effect on the control limits if the
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- A quality inspector took five samples in five hours, each with four observations, of the length time for glue to dry. The analyst compute the mean of each sample and the computed the grand mean. All values are in minutes. Use this information to obtain three-sigma control limits for means. It is known from previous experience that the standard deviation of the process is 0.02 minutes. Draw a control chart Please provide a step-by-step solutionarrow_forwardAuto 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 5 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range R (mm) 158 4.3 151.2 4.4 155.7 4.2 153.5 4.8 156.6 4.5 What is the UCL using 3-sigma?(round your response to two decimal places). 1. 2. 4.arrow_forwardA 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 workarrow_forward
- Hermitage DNA Labs, LLC collected temperature readings in an analysis process. The data can be found in the Problems Data Compute the mean and range of each sample and calculate control limits for x-bar and R charts using the appropriate From the charts constructed, does the process appear to be in statistical control?arrow_forwardRefer to Table 56.1-Factors for Computing Control Chart Limits.(3.sigma) for this problem. 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? mm (round your response to two decimal places). b) What is the value of R? R=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;)mm (round your response to two decimal places) Lower Control Limit (LCL;)mm (round your response to two decimal places). d) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCLR)-mm (round your response to two decimal places). Lower Control Limit (LCL)-mm (round your response to two decimal places) Mean x (mm) 154.9 151.2 155.6 155.5 154.6 Range R (mm) 4.4 4.8 4.3 5.0 4.7 Nextarrow_forwardChocolate, Inc. manufactures 4 ounce chocolate bars. Random samples of size four were taken and weighed. Eight hours of observation provided the following data. Sample Mean Range 1 3.96 0.13 2 4.03 0.16 3 3.97 0.16 4 4.14 0.16 5 3.88 0.11 6 4.03 0.18 7 4.04 0.18 8 4.07 0.14 (a) Determine the upper and lower control limits for the x chart. (Round your answers to four decimal places.) UCL=?? LCL=?? (b) Determine the upper and lower control limits for the R chart. (Round your answers to four decimal places.) UCL=?? LCL=??arrow_forward
- What is the purpose of a control chart?arrow_forwardCan you please explain the steps to create the control chart ?arrow_forward54 Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.20 ounce. For a sample size of 64, the 3-sigma X chart control limits are: Upper Control Limit (UCL) = ounces (round your response to two decimal places).arrow_forward
- sniparrow_forwardHermitage DNA Labs, LLC collected temperature readings in an analysis process. The data can be found in the Problems Data Compute the mean and range of each sample and calculate control limits for x-bar and R charts using the appropriate From the charts constructed, does the process appear to be in statistical control?arrow_forwardJus de Fruit Co. has set up for automated production of its new bottled Triple Berry Colada. Six samples were taken during the first week of production. The OM team wants to check if the dispersion of the process is in control. What will be the 3-sigma upper and lower control limits, respectively? Sample Bottle 1 Bottle 2 Bottle 3 Bottle 4 1 16.5 16.3 15.7 16.2 2 16.1 16 15.5 16.1 3 16.3 16.5 15.8 15.7 4 15.6 16 16.3 16.2 5 16 15.9 16.2 15.8 6 15.9 16.3 16.1 15.5arrow_forward
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