Ch 6 Assignment A soda bottling plant uses automated filling machines to fill 2-liter bottles with soda. The plant can produce 8000 bottles of soda in an 8-hour shift. The plant's quality manager wants to determine how well the process is operating. He takes a sample of 100 bottles from the bottling line and determines that on an average, each bottle contains 2.06 liters of soda, with a standard deviation of 0.06 liters. The specification limits for a bottle of soda are 2.1 liters and 1.9 liters. Q1. What percentage of bottles produced are within specification limits? Show your calculations. Q2. If you were asked to improve this process to a 6-sigma level, which of the following approaches below is the right way to achieve this? Justify your choice. (a) Increase the process specification limits (b) Decrease the process standard deviation (c) Both a and b

Ch 6 Assignment A soda bottling plant uses automated filling machines to fill 2-liter bottles with soda. The plant can produce 8000 bottles of soda in an 8-hour shift. The plant's quality manager wants to determine how well the process is operating. He takes a sample of 100 bottles from the bottling line and determines that on an average, each bottle contains 2.06 liters of soda, with a standard deviation of 0.06 liters. The specification limits for a bottle of soda are 2.1 liters and 1.9 liters. Q1. What percentage of bottles produced are within specification limits? Show your calculations. Q2. If you were asked to improve this process to a 6-sigma level, which of the following approaches below is the right way to achieve this? Justify your choice. (a) Increase the process specification limits (b) Decrease the process standard deviation (c) Both a and b

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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20. A large national producer of cookies and baked goods uses a c chart to monitor the number of chocolate chips in its chocolate chip cookies. The company would like to have an average of six chips per cookie. One cookie is sampled each hour. The results of the last 12 hours were Number of Chips per Cookie Number of Chips per Cookie Hour Hour 1 7 7 3 2 8 6 3 4 3 3 4 3 10 2 5 5 11 4 4 12 4 a. Assuming a target value of c = 6, what are the upper and the lower control lim- its for a c chart? b. Are the 12 observations consistent with a target value of c = 6? If those 12 ob- servations constitute a baseline, what upper and lower control limits result? (Use the normal approximation for your calculations.)
3.1.The Great North Woods Clothing Company sells specialty outdoor clothing through its catalog. A quality problem that generates customer complaints occurs when a warehouse employee fills an order with the wrong items. The company has decided to implement a process control plan by inspecting the ordered items after they have been obtained from the warehouse and before they have been packaged. The company has taken 30 samples (during a 30-day period), each for 100 orders, and recorded the number of defective orders in each sample, as follows Sample Number of Defectives Sample Number of Defectives 1 12 16 6 2 14 17 3 3 10 18 7 4…
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? Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 R = 4.40 mm (round your response to two decimal places). c) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCL) = mm (round your response to two decimal places). Range R (mm) 4.2 4.4 4.3 4.8 4.3 Ç
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Boston Electric Generators has been getting manycomplaints from its major customer, Home Station, about thequality of its shipments of home generators. Daniel Shimshak,the plant manager, is alarmed that a customer is providing himwith the only information the company has on shipment quality.He decides to collect information on defective shipments througha form he has asked his drivers to complete on arrival at customers'stores. The forms for the first 279 shipments have been turnedin. They show the following over the past 8 weeks: Even though Daniel increased his capacity by adding more workersto his normal contingent of 30, he knew that for many weekshe exceeded his regular output of 30 shipments per week. Areview of his turnover over the past 8 weeks shows the following: a) Develop a scatter diagram using total number of shipmentsand…
6. A critical dimension of the service quality of a deposit collection booth is the waiting time of atransaction to get money from the employee. Periodically, random samples of four customer aremeasured for waiting time. The results of the last five samples are in the following table:Sample Time (sec) from Four Customers1 525 510 495 5142 512 520 508 5243 505 458 504 5054 450 495 521 5125 498 510 480 521Required:i. Assuming that the management is willing to use three-sigma control limits and using onlyhistorical information of the standard deviation of the process distribution is 6.85 thatcontained in the five samples, show that the ATM Booth waiting time is in statistical control.ii. Suppose that the standard deviation of the process distribution is 6.85. If the specification forthe waiting time are 510±35sec., is the process capable? Why or why not? Assume Threesigma performance is desired by the management.
The temperature of a burrito served to a customer in a local Mexican restaurant A: Discrete B; Continous
Problem 1: 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: Day Mean (mm) Range (mm) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 a) What are the UCL x (line on top of x, counldn't find the button to do it) and LCL x (line on top of x) , using 3σ? Plot the data. b) What are the UCL R and LCL R , using 3σ? Plot the data. c) Is the Process in Control? (Please screen shot the EXCEl if its in excel) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
What is it important to prove that a process is proven capable before developing statistical control limit ?
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= 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 4.3
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