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Problem 1: 5 points A quality characteristic has a specification (in inches) of 0.2000.020. If the value of the quality characteristic exceeds 0.200 by the tolerance of 0.020 on either side, the product will require a repair of $150. Develop the appropriate Taguchi loss function. (Hint: find the constant k in the Tagulchi function) Problem 2: 5 points Assume the specifications for a part (in inches) are 5.000.37, and the Taguchi loss function is estimated to be L(x)=9,300(xT)2. Estimate the loss for a part if the quality characteristic under study takes on a value of 5.50 inches. Problem 3: 10 points Suppose that the design specifications for a hydraulic cylinder are 10.000.10 centimeters and that the Taguchi loss function is estimated to be L(x)=1,400(xT)2. Answer the following questions a) Estimate the loss for a production if the characteristic under study takes on a value of 10.04 and 100 parts are produces b) Assume the production process is recalibrated weekly and a new sample of cylinders after recalibrations reveals an x-bar of 9.789. What action, if any, is needed in this situation? Explain. Problem 4: 5 points The service center for a brokerage company provides three functions to callers: account status, order confirmations, and stock quotes in series system. The reliability was measured for each of these services over 1 month with these results: 90%,80%, and 96%, respectively. What is the overall reliability of the call center? Problem 5:5 points Given the following diagram, determine the total system reliability if the individual component reliabilities are: A=0.94,B=0.82, and C=0.87. (Hint Refer to slide 21 and 22 of Lecture 3 . You can calculate a partial reliability first. For example, calculate the reliability of "B parallel with C") Problem 6: 10 points An electronic missile guidance system at Mguide, Inc, consists of components A, B, C, and D which have reliabilities of 0.98,0.97,0.91, and 0.95, respectively (see the following diagram). a) Calculate the Reliability of the entire system (Hint Refer to slide 21 and 23 of Lecture 3. You can calculate a partial reliability first. For example, calculate the reliability of "C parallel with C") b) Suppose customer requires a reliability off at least 0.98. Find a configuration that meets this requirement using the minimum number of components. Note that A, B, C, D have to be in sequence Problem 1: 5 points A quality characteristic has a specification (in inches) of 0.2000.020. If the value of the quality characteristic exceeds 0.200 by the tolerance of 0.020 on either side, the product will require a repair of $150. Develop the appropriate Taguchi loss function. (Hint: find the constant k in the Tagulchi function) Problem 2: 5 points Assume the specifications for a part (in inches) are 5.000.37, and the Taguchi loss function is estimated to be L(x)=9,300(xT)2. Estimate the loss for a part if the quality characteristic under study takes on a value of 5.50 inches. Problem 3: 10 points Suppose that the design specifications for a hydraulic cylinder are 10.000.10 centimeters and that the Taguchi loss function is estimated to be L(x)=1,400(xT)2. Answer the following questions a) Estimate the loss for a production if the characteristic under study takes on a value of 10.04 and 100 parts are produces b) Assume the production process is recalibrated weekly and a new sample of cylinders after recalibrations reveals an x-bar of 9.789. What action, if any, is needed in this situation? Explain. Problem 4: 5 points The service center for a brokerage company provides three functions to callers: account status, order confirmations, and stock quotes in series system. The reliability was measured for each of these services over 1 month with these results: 90%,80%, and 96%, respectively. What is the overall reliability of the call center? Problem 5:5 points Given the following diagram, determine the total system reliability if the individual component reliabilities are: A=0.94,B=0.82, and C=0.87. (Hint Refer to slide 21 and 22 of Lecture 3 . You can calculate a partial reliability first. For example, calculate the reliability of "B parallel with C") Problem 6: 10 points An electronic missile guidance system at Mguide, Inc, consists of components A, B, C, and D which have reliabilities of 0.98,0.97,0.91, and 0.95, respectively (see the following diagram). a) Calculate the Reliability of the entire system (Hint Refer to slide 21 and 23 of Lecture 3. You can calculate a partial reliability first. For example, calculate the reliability of "C parallel with C") b) Suppose customer requires a reliability off at least 0.98. Find a configuration that meets this requirement using the minimum number of components. Note that A, B, C, D have to be in sequence