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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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 (u) of 12.00 and a standard deviation (a) of 0.04. Your desired performance is μ = 12.00 +3 standard deviations, where a = 0.045. For the given information, the process capability index (Cpk) - (round your response to three decimal places).
A manufacturing facility analyzes a lot-sample of 100 units out of a shipment of 10,000. The demodulator frequency is supposed to be within 53.5 and 54.5 MHz. The mean is 54.25 MHz with a standard deviation of 0.04 MHz. What is the CPK?
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.
A component part for a motorcycle is manufactured by an investment casting process. The air vent opening on this casting is an important functional parameter of the part. The results for five samples are given in the table. The values given have been coded using the last two digits of the dimension Sample Air vent opening diameter (in mm 1 58 61 54 60 2 61 55 58 62 3 66 60 59 55 4 53 57 58 64 5 65 63 79 61 Determine the central line and control limits for the range and mean charts, and discuss whether or not the process is in statistical control.
Inlet pressure P₀= 700 kPa, inlet temperature T₀ = 311 K. Since the temperature To minimum cross-sectional area Aₘᵢₙ= 12 cm² outlet pressure Pₑ=448 kPa, outlet cross - sectional area Aₑ = 20 cm² What is the value of the area where the shock wave occurs?
Arana is a company that produces homemade Rotini pasta. They use statistical process control to monitor the manufacturing process. The company collects five samples, each containing six packs of pasta. Below is the sample data, but the standard deviation of the process output is unknown. If an R chart is created using three-sigma limits (i.e., z = 3) to monitor the variability of products, what would be the upper control limit for this R chart? Sample 1 Sample 2 Sample 3 Pack 1 452.3 451.6 448.6 Sample 4 454.7 Sample 5 448.9 7.614 9.328 11.653 13.427 Pack 2 452.8 451.2 455.6 451.7 453.4 Pack 3 456 454.6 456.5 451 456.7 Pack 4 457.2 455.3 451.9 452.6 456.3 Pack 5 457.8 452.2 455.6 454.7 452.4 Pack 6 451.8 451.9 448.3 458.4 456
As the supervisor in charge of shipping and receiving, you need to determine the average outgoing quality in a plant where the known incoming lots from your assembly line have an average defective rate of 4.0%. Your plan is to sample 80 units of every 1,000 in a lo number of defects in a sample is not to exceed 3. Such a plan provides you with a probability of acceptance of each lot of 0.79 (79%). The average outgoing quality for the plant is =% (enter your response as a percentage rounded to two decimal places).
An automobile manufacturer claims that its van has a 37.437.4 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 280280 vans, they found a mean MPG of 37.837.8. Assume the standard deviation is known to be 2.32.3. A level of significance of 0.050.05 will be used. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.
A metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.04 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.003 inches with a standard deviation of 0.020 inch. Calculate the process capability index.
Calculate and report the tracking signal for the models with alpha values of 0.25 and 0.75, with h 100. Provide codes in R

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