Frank Plank, the manager of an organic yogurt processing plant desires a quality specification with a mean of 20 0 ounces, an upper specification limit of 206 ounces and a lower specification imit of 19.4 ounces. The process has a mean of 200 ounces and a standard deviation of 1.25 ounce The process capability indes (Cound your response to three decimal places)

Frank Plank, the manager of an organic yogurt processing plant desires a quality specification with a mean of 20 0 ounces, an upper specification limit of 206 ounces and a lower specification imit of 19.4 ounces. The process has a mean of 200 ounces and a standard deviation of 1.25 ounce The process capability indes (Cound your response to three decimal places)

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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BlueMoon Bottlers has a bottle-filling process with a mean value of 64 ounces and a standard deviation of 8 ounces. Suppose the upper and lower specification limits are 71 and 57 ounces, respectively. What is the process capability index of this process? (Note: You MUST show every single step and detailed derivation for full credit)
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.
A bottle-filling process has a lower specification limit of 0.99 liter and an upperspecification limit of 1.01 liters. The standard deviation is 0.005 liter and the mean is 1 liter.What is the process capability index for the bottle-filling process?
A. 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?
Describe how to construct process control charts and use them to determine whether a process is out of statistical control.
Describe a quality control chart and how it can be used.What are upper and lower control limits? What does it mean if anobservation falls outside the control limits?
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
Inter-State Moving and Storage Company wishes to establish a control chart to monitor the proportion of residential moves that result in written complaints due to late delivery, lost items, or damaged items. A sample of 40 moves is selected for each of the last 12 months. The number of written complaints in each sample is 9, 7, 4, 9, 1, 9, 11, 5, 5, 8, 7, and 15. Number Defective Percent defective 9 18 7 14 4 8 9 18 1 2 9 18 11 22 5 10 5 10 8 16 7 14 15 30 a. Insert the mean proportion defective, UCL, and LCL. (Leave no cells blank - be certain to enter "0" wherever required. Round your intermediate calculations and final answers to 2 decimal places.) Mean proportion defective UCL LCL c. Does it appear that the number of complaints is out of control for any of the months?multiple choice Yes No
Management at Webster Chemical Company is concerned as to whether caulking tubes are being properly capped. If a 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 135. Several boxes are inspected, and the following numbers of leaking tubes are found: View an example Sample 1 2 3 Get more help. 4 Tubes 7 7 8 5 1 5 6 7 Calculate p-chart three-sigma control limits to assess whether the capping process is in statistical control. The UCL, equals 1 Sample 8 8 9 10 11 12 13 14 Tubes 7 2 4 8 6 9 MacBook Pro 3 Sample 15 16 17 18 19 20 Total Tubes 8 3 3 5 and the LCL equals (Enter your responses rounded to three decimal places. If your answer for LCL, is negative, enter this value as 0.) 3 6 104 Clear all Check answer O
Explain what might cause a process to be out of control in managing quality ?
4. Problem 8.29 The number of imperfections in bond paper produced by a paper mill is observed over a period of several days. Table 8-28 shows the area inspected and the number of imperfections for 25 samples. Construct a control chart for the number of imperfections per square meter. Revise the limits, if necessary, assuming special causes for the out-of-control points. TABLE 8-28 Area Area Sample Inspected (m?) Imperfections Sample Inspected (m²) Imperfections 1 150 6 14 300 8 2 100 8 15 300 12 3 200 5 16 200 6 4 150 4 17 150 4 250 10 18 200 7 6. 100 11 19 150 14 7 150 20 100 4 8 200 5 21 100 8 9 300 10 22 200 10 250 10 23 300 12 11 100 24 250 7 12 200 4 25 200 5 13 250 12
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?