Q4. A manufacturer of tennis rackets intends to set 45 lb tension in one of its product lines. The company spends £60,000 for total warranty (merchandise returned for out of specification tension). A sample data from monthly production of 32000 rackets show the following readings: 45 50 54 46 47 48 (unit: lb) To improve the product, the owner invested £220,000 in a new assembly operation which produced the following samples: 43 46 45 44 45 44.5 (unit: lb) a) Using Taguchi loss function to calculate how much saving the investment has produced, using Lav = k· MSD ≈ k[s² + (ỹ − m)²], where Lap is the average Taguchi loss; MSD is the Mean Squared Deviation; k is the constant in Taguchi loss function. b) Perform a t-test to see if there is a significant difference in quality due to two different assembly operations (significance level a=0.05) (t-distribution table attached in Fig. Q4 below). The t-test statistic is given by: G₁-3₂)-De FEA where (n-1)+(₂-1) s] m+m₂-2
Q4. A manufacturer of tennis rackets intends to set 45 lb tension in one of its product lines. The company spends £60,000 for total warranty (merchandise returned for out of specification tension). A sample data from monthly production of 32000 rackets show the following readings: 45 50 54 46 47 48 (unit: lb) To improve the product, the owner invested £220,000 in a new assembly operation which produced the following samples: 43 46 45 44 45 44.5 (unit: lb) a) Using Taguchi loss function to calculate how much saving the investment has produced, using Lav = k· MSD ≈ k[s² + (ỹ − m)²], where Lap is the average Taguchi loss; MSD is the Mean Squared Deviation; k is the constant in Taguchi loss function. b) Perform a t-test to see if there is a significant difference in quality due to two different assembly operations (significance level a=0.05) (t-distribution table attached in Fig. Q4 below). The t-test statistic is given by: G₁-3₂)-De FEA where (n-1)+(₂-1) s] m+m₂-2
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 7CR
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