Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
12th Edition
ISBN: 9780134741062
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Chapter 3, Problem 14P
Summary Introduction
Interpretation:The p-chart three sigma control limits to assess whether the capping process is in statistical control are to be calculated.
Concept Introduction:The monitoring of the nonconforming units in sample in statistical quality control is done by the representation of the p-chart.
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concernedas to whether caulking tubes are being properly capped. Ifa significant proportion of the tubes are not being sealed,Webster is placing its customers in a messy situation.Tubes are packaged in large boxes of 144. Several boxes areinspected, and the following numbers of leaking tubes arefound:
Calculate p-chart three-sigma control limits to assesswhether the capping process is in statistical control.
Aspen Plastics produces plastic bottles to customer order.The quality inspector randomly selects four bottles fromthe bottle machine and measures the outside diameter ofthe bottle neck, a critical quality dimension that determineswhether the bottle cap will fit properly. The dimensions(inch) from the last six samples are Assume that only these six samples are sufficient, and use thedata to determine control limits for an R- and an x-chart.
A process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as follows:
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 of the process is 1.36.
Discuss whether the process is in control or not.
Chapter 3 Solutions
Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
Ch. 3 - Should a very pricey handcrafted object of beauty...Ch. 3 - Prob. 2DQCh. 3 - Prob. 3DQCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7P
Ch. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 31PCh. 3 - Prob. 1AMECh. 3 - Prob. 2AMECh. 3 - Prob. 3AMECh. 3 - Prob. 4AMECh. 3 - Prob. 5AMECh. 3 - Prob. 1VCCh. 3 - Prob. 2VC
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- 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.arrow_forwardp-chart and c-chart. Using the appropriate control chart, determine two-sigma control limits for each Problem 4 case:a. An inspector found an average of 3.9 scratches in the exterior paint of each of the automobilesbeing prepared for shipment to dealers.b. Before shipping lawn mowers to dealers, an inspector attempts to start each mower and notes anythat do not start on the first try. The lot size is 100 mowers, and an average of 4 did not start (4percent).arrow_forwardA quality control inspector has taken four samples with fi veobservations each at the Beautiful Shampoo Company, measuringthe volume of shampoo per bottle. If the average range for the foursamples is 0.4 ounces and the average mean of the observations is19.8 ounces, develop 3-sigma control limits for the bottling operation.arrow_forward
- Breeze Toothpaste Company has been having a problemwith some of the tubes of toothpaste leaking. The tubes are packedin containers with 100 tubes each. Ten containers of toothpastehave been sampled. Th e following number of toothpaste tubeswere found to have leaks: Develop a p-chart with 3-sigma control limits and evaluatewhether the process is in statistical control.arrow_forwardUsing samples of 197 credit card statements, an auditor found the following: Sample 1 3 errors Sample 2 3 errors Sample 3 5 errors Sample 4 9 errors 1. what alpha risk would control limits of .0470 and .0038 provide? 2. Using control limits of .0470 and .0038, is the process in control? 3. Construct a control chart for the process, assuming a fraction defective of 2 percent, using two-sigma control limits. Is the process in control?arrow_forwardThe Minnow County Highway Safety Department monitors accidents at the intersection of Routes 123and 14. Accidents at the intersection have averaged three per month.a. Which type of control chart should be used? Construct a control chart with three-sigma controllimits.b. Last month, seven accidents occurred at the intersection. Is this sufficient evidence to justify aclaim that something has changed at the intersection?arrow_forward
- Explain how to construct process control chart and use them to determine whether a process is out of statistical control?arrow_forwardA. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard devia-tion in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the averageweight, in pounds, of nine of the bowling balls produced that dayhas been assessed as follows: a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control lim-its are each two standard deviations from the mean. What are the values of the control limits?b) If three standard deviations are used in the chart, how do thesevalues change? Why?arrow_forwardA process considered to be in control measures an ingredient in ounces. Roberto Baggio, a quality inspector took 20 samples, each with 8 observations as follows: thats in the pictuer after that 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 of the process is 0.693. First: perform all actions and calculations needed to answer the question. All equations/calculations needed to be fully written STEP by STEP. No short calculations or direct answers/results will be accepted. This applies to the calculations for both types of control limits (mean and range). Second: Explain the process followed to identify each type of control limit and any observations made in the problem-solving process. thank you very mucharrow_forward
- 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 2arrow_forwardAn automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of 1.0 liter and standard deviation of .01 liter. Output is monitored using means of samples of 25 observations. Determine upper and lower control limits that will include roughly 97% of the sample means when the process is in control. Using Appendix B, Table A to find the value of Z corresponding to the mean control limits.arrow_forwardP-chart and c-chart. Using the appropriate control chart, determine two-sigma controllimits for each Problem case, a. An inspector found an average of 3.9 scratches in the exterior paint of each of theautomobiles being prepared for shipment to dealers. b. Before shipping lawnmowers to dealers, an inspector attempts to start each mowerand notes any that do not start on the first try. The lot size is 100 mowers, and anaverage of 4 did not start (4 percent).arrow_forward
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