Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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- 1. Twenty samples, each consisting of 100 admission applications at a university, resulted in a total of 80 applications that had some type of error. Compute the control limits for a p-chart. What would be the impact on the final results if each sample contained 200 loan applications rather than 100 and all other data remained the same? Please show in detail these impacts quantitatively in your answers.arrow_forwardA medical facility does MRI scans for sports injuries. Occasionally a test yields inconclusive result and must be repeated. Using the following 15 sample results for the number of retests in n = 150 observations each, determine the control limits for the proportion of retests. Use three sigma (standard deviations) limits. Is the process in control? Why/why not? (Round answers to 4 decimal places.)arrow_forwardThe Healthy Chocolate Company makes a variety of chocolate candles, including a 12-ounce chocolate bar (340 grams) and a box of six 1-ounce chocolate bars (170 grams). a.Specifications for the 12-ounce bar are 322 grams to 358 grams. What is the largest standard deviation (In grams) that the machine that fills the bar molds can have and still be considered capable if the average fill is 340 grams? (Round your intermediate calculations to 2 decimal places and final answer to 3 decimal places.) Standard deviation b.The machine that filles the bar molds for the 6-ounce bars has a standard deviation of .84 grams. The filling machine is set to deliver an average of 1.04 ounces per bar. Specifications for the six-bar box are 150 to 190 grams per box. Is the process capable? Hint: The variance for the box is equal to six times the bar variance. Convert all calculations Into grams. O Yes O No grams c.What is the lowest setting in ounces for the filling machine that will provide capability in…arrow_forward
- Please use excel if possiblearrow_forwardThe control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Part 6 Upper Control Limit (UCLR) = 2.3352.335 inches (round your response to three decimal places). Part 7 Lower Control Limit (LCLR) = enter your response here inches (round your response to three decimal places).arrow_forwardTwenty samples of 100 items each were inspected when a process was considered to be operating satisfactorily. In the 20 samples, a total of 140 items were found to be defective. (a) What is an estimate of the proportion defective when the process is in control? (b) What is the standard error of the proportion if samples of size 100 will be used for statistical process control? (Round your answer to four decimal places.) (c) Compute the upper and lower control limits for the control chart. (Round your answers to four decimal places.) UCL = LCL =arrow_forward
- 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 0.5arrow_forwardConsider a process with lower process control limit as 1.338 and upper process control limit as 1.342 . The lower specification limit is 1.335 and the upper specification limit is 1.345. Utilizing the information provided, is the process is capable of meeting design specifications?arrow_forwardBoston Electric Generators has been getting many complaints from its major customer, Home Station, about the quality of its shipments of home generators. Daniel Shimshak, the plant manager, is alarmed that a customer is providing him with the only information the company has on shipment quality. He decides to collect information on defective shipments through a form he has asked his drivers to complete on arrival at customers' stores. The forms for the first 287 shipments have been turned in. They show the following over the past 8 weeks: Week No. of Shipments No. of Shipments with Defects 1 23 10 2 31 11 3 32 12 4 39 13 5 35 12 6 40 14 7 41 14 8 46 17 This exercise contains only part a. a) Using the point drawing tool eight times, develop a scatter diagram using total number of shipments and number of defective shipments. Part 2arrow_forward
- Figure 12–1 presents a conceptual picture of the trade-off between process cost and the costs of losses due to poor quality. What are the costs of poor quality and what difficulties might arise when attempting to measure these costs?arrow_forwardMcDaniel 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 2arrow_forwardThe Farley Manufacturing Company prides itself on the quality of its products. The company is engaged in competition for a very important project. A key element is a part that ultimately goes into precision testing equipment. The specifications are 8.000plus or minus±3.0003.000 millimeters. Management is concerned about the capability of the process to produce that part. The accompanying data were randomly collected during test runs of the process. Observation (millimeters) Sample 1 2 3 4 5 6 7 81 9.600 7.200 9.300 8.100 9.800 8.700 8.600 9.3002 8.500 9.000 9.100 8.000 7.600 8.400 7.800 9.8003 7.500 8.500 8.600 7.900 7.700 9.000 7.100 7.4004 7.100 8.100 9.700 9.300 8.200 8.800 7.700 9.0005 9.500 9.100 9.300 7.000 8.300 7.300 7.400 9.800 a. The process capability index, Cpk, is equal to_______. (Enter your response rounded to three decimal places.arrow_forward
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