A Quality Analyst wants to construct acontrol chart for determining whetherthree machines, all producing the sameproduct, are under control with regard toa particular quality variable. Accordingly,he sampled four units of output from eachmachine, with the following results :Machine #1 measurements [17, 12, 21,12]; Machine #2 measurements [ 14, 22,16, 13]; Machine #3 measurements [ 13,19, 14, 23]. Using the factors for threesigma control limits, what are x-bar chartupper and lower control limits?O a. 23.15and 9.52O b. 44.33and -11.67Oc. 25.85and 6.813O d. 18.85and 13.81

A mean control chart, sometimes referred to as an x (“ x -bar”) chart, is based on a normal…

Answered: A Quality Analyst wants to construct a…

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 Analyst wants to construct a control chart for determining whether five machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, four units of putputs from each machine are collected: Machine Measurement 1 Measurement 2Measurement 3 Measurement 4 M1 318 304 313 303 M2 328 331 319 316 МЗ 327 313 321 320 M4 289 343 294 323 М5 339 299 330 290 Does this process appear to be out of control? If yes, identify a machine using the factors of three sigma control limits. а. М1 O b. M3 C. M5 O d. Process is in Control Ое. М2 O f. M4
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.
Choose a product on the market and discuss how process control charts could be used to monitor and control its quality during manufacturing. Be sure to specify at least 2 process attributes that should be statistically monitored or controlled during the manufacturing of the product you have chosen.
13. A process is monitored using an X chart with UCL = 13.8 and LCL = 8.2. The process standard deviation is estimated to be 6.6. If the X chart is based on three-sigma limits, a. What is the estimate of the process mean? b. What is the size of each of the sampling subgroups?
At Gleditsia Triacanthos Company, a certain manufactured part is deemed acceptable if its length is between 12.45 to 12.55 inches. The process is normally distributed with an average of 12.49 inches and a standard deviation of 0.014 inches. a) is the process capable of meeting specifications? b) Does the process meet specifications?
Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour x R Hour x R Hour x R Hour x R 1 3.15" 0.65" 7 3.15" 0.58" 13 3.11" 0.85" 19 4.51" 1.66" 2 3.00 1.23 8 2.65 1.13 14 2.93 1.31 20 2.89 1.04 3 3.22 1.43 9 3.02 0.66 15 3.22 1.11 21 2.55 1.08 4 3.39 1.21 10 2.85 1.28 16 2.84 0.55 22 3.28 0.41 5 3.07 1.12 11 2.73 1.12 17 2.96 1.43 23 2.84 1.63 6 2.76 0.42 12 3.07 0.45 18 2.84 1.34 24 2.64 0.92 Based on the sampling done,…
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
C-Spec, Incorporated is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± 0.003 inch. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.002 inch. Calculate the capability index ( Cpk�� ) for this machine. Note: Round your answer to 3 decimal places. Should C-Spec use this machine to produce this part? multiple choice Yes No
Mrs. Crabapple has a class with three students, and she has had four quizzes so far this semester. She has created control charts to determine if the variation in students' scores from quiz to quiz is exhibiting only natural variation. Each of the quiz scores are shown below. The upper and lower control limits for the x-bar chart are 109.6 and 34.9, respectively. The upper and lower control limits for the R chart are 93.95 and 0, respectively. Quiz Bart Lisa Nelson 1 75 100 50 2 62 82 72 3 90 90 90 4 60 86 10 Is the process in control? O A. Yes OB. No
In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 172.11,219.58, 208.24, 112.44, and 123.30 respectively. In the same sample, the corresponding ranges are: 13.17, 13.38, 15.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the R chart? O a. 0,31.47 O b. 0,30.99 Oc. None is correct O d. 0,29.17 O e. 0,31.17 O f. 0,28.17
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2) The specification for a Lindemann’s stainless steel chimney liner requires a thickness of 7.1 mm ± 0.1 mm. The firm’s quality analyst determines that the liner process operates at a mean thickness of 7.13 mm with the standard deviation of the process being 0.02 mm. a) Calculate the upper and the lower limits for the stainless steel chimney liner. b) Calculate the Cpand Cpkfor this process. Hint: Cp = (Upper Specification Limit – Lower Specification Limit)/6sigma Cpk = minimum of [(Upper Specification Limit – Xbar)/3sigma], [(Xbar – Lower Specification Limit)/3sigma]

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