A quality control manager in an Omani bottling company takes 5 samples for quality control purposes. These sample mean (X-bar) are; 8.51, 8.18, 11.07, 10.03, and 10.23 respectively. Additionally, the range values for these 5 samples are; 3.33, 2.61, 3.39, 4.39, and 6.49. If the lower control limit for X-bar chart is 7.664, what should be the most appropriate sample size? O a. 4 O b. None is correct O c. 3

A quality control manager in an Omani bottling company takes 5 samples for quality control purposes. These sample mean (X-bar) are; 8.51, 8.18, 11.07, 10.03, and 10.23 respectively. Additionally, the range values for these 5 samples are; 3.33, 2.61, 3.39, 4.39, and 6.49. If the lower control limit for X-bar chart is 7.664, what should be the most appropriate sample size? O a. 4 O b. None is correct O c. 3

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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A quality control manager in an Omani bottling company takes 5 samples for quality control purposes. These sample mean (X- bar) are; 8.51, 8.18, 11.07, 10.03, and 10.23 respectively. Additionally, the range values for these 5 samples are; 3.33, 2.61, 3.39, 4.39, and 6.49. If the lower control limit for X- bar chart is 7.664, what should be the most appropriate sample size? O a. 3 O b. None is correct O C. 4 O d. 6 O e. 5
Suppose a manufacturing process produces small metal rods. The desired length of these rods is 50 cm. Quality control personnel take samples of 5 rods every hour and measure their lengths. After 8 hours, they have the following data for the average lengths (in cm) of the 8 samples: Hour (h): 1, 2, 3, 4, 5, 6, 7, 8Average Length (X-bar): 49.8, 50.2, 50.1, 49.9, 50.3, 50.1, 49.7, 50.0 Additionally, the standard deviation (s) for each sample is provided: Hour (h): 1, 2, 3, 4, 5, 6, 7, 8Standard Deviation (s): 0.1, 0.12, 0.11, 0.1, 0.12, 0.11, 0.09, 0.1 Based on the given data, is the process under control?
The operations manager of a Soft drink company is concerned about Machine No.3 in the assembly line. In order to make sure that the machine is operating correctly, samples are taken, and the average and range for each sample is computed. Each sample consists of 10 items produced from that machine. Recently, 12 samples were taken and the sample range and average computed for each are as follows: Sample Number Sample Range Sample Mean 1 1.00 45 2 1.21 44 3 0.81 45 4 1.00 46 5 1.11 47 6 0.72 46 7 0.76 49 8 1.01 48 9 1.02 50 10 0.89 51 11 0.76 49 12 1.10 51 During installation, the supplier set an average of 46 for the process with an average range 0.9. (a) Draw the appropriate control charts for machine No. 3. (b) Comment on your results.
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Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 Ohms each. To set up the machine and to create a control chart to be used throughout the run, 15 samples and their measured values are as follows: Sample Number Readings (in Ohms) 1 1010 991 985 986 2 995 996 1009 994 3 990 1003 1015 1008 4 1015 1020 1009 998 5 1013 1019 1005 993 6 994 1001 994 1005 7 989 992 982 1020 8 1001 986 996 996 9 1006 989 1005 1007 10 992 1007 1006 979 11 996 1006 997 989 12 1019 996 991 1011 13 981 991 989 1003 14 999 993 988 984 15 1013 1002 1005 992 Develop three-sigma appropriate control chart(s) from the chart(s) what comments can you make about the process? Explain and show work
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20) Consider a production process that produces tires. A quality engineer has taken 15 samples, each containing 100 tires. The total number of defective tires over the 15 samples is 340. The sample standard deviation is Group of answer choices a) 0.011 b) 0.042 c) 0.005 d) 0.022 e) 0.028
The Big Black Bird Company produces fiberglass camper tops. The process for producing the tops must be controlled so as to keep the number of dimples low. When the process was in control, the defects shown to the right were found in 10 randomly selected camper tops over an extended period of time. Top Dimples 1 7 2 8 3 12 4 9 5 4 6 14 7 7 8 3 9 6 10 8 a. Assuming 10 observations are adequate for this purpose, determine the three-sigma control limits for dimples per camper top. The UCLc equals nothing and theLCLc equals nothing. (Enter your responses rounded to two decimal places. If your answer for LCLc is negative, enter this value as 0.) b. Suppose that the next camper top has 16 dimples. What can you say about the process now? A. The number of defects is greater than the upper control limit, so it is assumed that the process is in…
Construct a 3-sigma X-bar chart for the length in centimeters of a part from the following tabble . What is the upper controt limit? sample observation 1 observation 2 observation 3 observation 4 1 0.486 0.499 0.493 0.511 2 0.499 0.506 0.516 0.494 3 0.496 0.5 0.515 0.488 4 0.495 0.506 0.483 0.487 5 0.472 0.502 0.526 0.469 6 0.473 0.495 0.507 0.493 7 0.495 0.512 0.49 0.471 8 0.525 0.501…
Janice Sanders, CEO of Pine Crest Medical Clinic, is concerned over the number of times patients must wait more than 30 minutes beyond their scheduled appointments. She asked her assistant to take random samples of 64 patients to see how many in each sample had to wait more than 30 minutes. Each instance is considered a defect in the clinic process. The table below contains the data for 15 samples.Sample Number of Defects1 52 23 14 35 16 57 28 3 9 6 10 3 11 9 12 9 13 5 14 2 15…
A manufacturer is selling pharmaceuticals that have a weight specification 199.8 to 200.2 mg, with a target value of 200 mg. Before sending its next shipment, the company collects a large sample of product and determines the mean weight of the sample is 199.89 mg, with a standard deviation of 0.035 mg. The process capability index for the current process is ____. Round to three decimal places.