Twenty 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 bedefective.(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 =

Control charts are also known as process-behavior charts. It is a statistical process that helps in…

Answered: (a) What is an estimate of the…

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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19) Defective Components Once each day, a sample of 60 components is randomly taken and the # of defective components (out of 60), is recorded. Given the following results from 14 days of sampling: Sample # Defects Sample # Defects 1 7 8 5 2 4 9 4 3 5 10 7 4 4 11 1 5 8 12 6 6 2 13 3 7 3 14 4 Total number of Defects = 63 What are the control limits for the most appropriate control chart? Group of answer choices a) LCL = -0.0270 UCL = 0.1770 b) LCL = 0 UCL = 0.2862 c) LCL = -1.864 UCL = 10.854 d) LCL = -0.1362 UCL = 0.2862 e) LCL = 0 UCL = 0.0971 f) LCL = 0 UCL = 0.1770
10. To monitor the quality of pepperoni pizzas, a quality control manager collects random samples of pizzas and evaluates them. The process mean and standard deviation for the weight and diameter of pizzas are not known. Which of the following(s) is a correct matching between the type of data collected and the choice of control chart used? Select all correct matchings. Select one: a. The manager weighed the sampled pizzas and constructed a c-chart. b. The manager rated the appearance of sampled pizzas as acceptable or unacceptable and then constructed a c-chart. c. The manager counted the number of pepperonis per each inspected pizza and constructed a mean chart. d. The manager measured the diameter of the sampled pizzas and constructed a range chart.
hw3q1
Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.10 ounce. For a sample size of 49, the 3-sigma x chart control limits are: Upper Control Limit (UCL) = Lower Control Limit (LCL) = ounces (round your response to two decimal places). ounces (round your response to two decimal places).
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 solution
Problem 10-4 (Static) Software upgrade times (in minutes) are being evaluated. Samples of five observations each have been taken, and the results are as listed. 1 79.2 78.8 80.0 78.4 81.0 Number of Observations in Subgroup, n 2 4 5 6 7 8 9 Click here for the Excel Data File Factors for three-sigma control limits for and Rcharts 10 11 13 12 13 14 SAMPLE 2 4 3 80.5 79.6 78.9 78.7 81.0 80.4 79.7 79.6 79.4 80.4 79.4 80.1 80.6 15 16 17 18 19 20 80.3 80.8 Factor for I Chart, A2 1.88 1.02 0.73 0.58 0.48 0.42 5 6 80.5 79.7 79.6 80.6 80.4 80.5 80.8 80.0 78.8 81.1 0.37 0.34 0.31 0.29 0.27 0.25 0.24 0.22 0.21 0.20 0.19 0.19 0.18 FACTORS FOR R CHARTS Lower Upper Control Limit, D3 Control Linit, D4 3.27 2.57 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74 1.72 1.69 1.67 1.65 1.64 1.62 1.61 1.60 1.59 0 8 0 0 0 0.08 0.14 0.18 0.22 0.26 0.28 0.31 0.33 0.35 0.36 0.38 0.39 0.40 0.41
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.
Control charts for X-bar and S are maintained for the fill volume of protein shake drink. The specifications are 330 + 10 mL. After 40 samples of size n=7 are analyzed, we find that: 40 40 = 13,200 Si = 296 i=1 i=D1 Find the best estimate of the process standard deviation. 7.498 7.400 7.570 2.737 7.713 8.032
Refer 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 Next
In a research on weight of cereal dispersed into a box of cereal, a company collected m=12 sets of inside ring diameter samples with a subgroup size of n=6 , the grand mean =17.8 ounces and the average range =1.02 ounces. Determine the upper control limit for an R chart. Enter your answer to 2 decimal places.
A producer of windshields decides to monitor the material handling system used in the plant. The producer is concerned about if there are scratches that are appearing on their finished product. The best kind of control chart to use in this case is a: r chart b: x chart c: cpk chart d: P chart
54 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).

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