Question 2:Consider again that the company making tires for bikes is concerned about the exact width ofits cyclocross tires. The company has a lower specification limit of 22.8 mm and an upperspecification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm.What is the probability that a tire will either be too wide or too narrow?

Answered: Image /qna-images/answer/d6b3ef89-deae-4489-85fd-f61601132d4a.jpg

Answered: Consider again that the company making…

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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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
7
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]
A machine cuts circular filters from large rolls of material. The diameters of the filters are normally distributed with a mean of 2.00 cm and a standard deviation of 0.02 cm. Specifications call for the filters to have diameters between 1.95 cm and 2.03 cm. What percent of production does not meet specifications
28. A local contractor manufactures the speakers used in telephones. The phone com- pany requires the speakers to ring at a specified noise level (in decibels). An X chart is being designed to monitor this variable. The process of sampling speakers from the line requires hitting the speakers with a fixed-force clapper and measur- ing the decibel level on a meter designed for that purpose. The cost of sampling is $1.25 per speaker. When the process goes out of control, the thickness of the speakers is incorrect. The cost of searching for an assignable cause is estimated to be $50. The cost of operating the process in an out-of-control state is estimated to be $180 per hour. Out of control corresponds to a shift of 2ơ in the decibel level, and the probability that the process shifts out of control in any hour is .03. a. The company uses an X chart based on 3ơ limits and subgroups of size 4. What is its hourly cost? b. What are the optimal values of n and k for this process and the…
Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean of 8.00 and a standard deviation of .04. Your desired performance is = 8.0 ± 30, where o = 0.047. Is the following statement true or false? Can Boardman produce the valve within the specified tolerance? (TRUE=yes, it can; FALSE=no, it cannot) O True O False
If the objective function exposure quality of 90 changes by 65 ETV will not be 0. Should the 90 be 25 or 155
S Book Hint Print eferences Problem 13-2 (Algo) A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.02 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.004 inches with a standard deviation of 0.006 inch. Calculate the process capability index for this example. (Round your answer to 3 decimal places.) Process capability index
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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 438.0 gram setting. It is believed that the machine is underfilling the bags. A 46 bag sample had a mean of 436.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the variance is known to be 400.00. Enter the decision rule.
Which of the following is an example of a common (natural) cause of variation? Group of answer choices Normal body temperature Dirty oven in a fast food restaurant Baby having fever Absent operator Machine malfunction due to lack of maintenance
A hospital in a developing nation is forced to manually put the flu shot vaccine into syringes. The recommended dosage for the flu shot is 0.5mL. The local health authorities define all syringes that have less than 0.45ml or more than 0.55mL as defective. In a sample of 100 syringes, the hospital’s quality control officer finds the average dosage to be 0.5mL. The standard deviation of the dosage is 0.02 mL and the distribution of the dosages resembles a normal distribution reasonably closely. To what level would the hospital have to reduce the standard deviation of the operation if his goal were to obtain a capability score of Cp=4/3 (i.e., get 63 defects per million)?

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