Question #1 (40 marks) To celebrate the renaming of the University, the Human Resources Unit has ordered a single batch of 450 pieces umbrella with the new logo as souvenir. To ensure the umbrella are working well , the University would like to inspect the finish goods from the supplier by checking their functionality. Each piece can either be conforming or non-conforming. According to the contract, the quality level of the supplier's in-house quality control was 1%. Show ALL your calculation steps without the use of Microsoft Excel. 1. Explain briefly two (2) inspection activities that would be conducted on-site in order to check the functionality of the umbrella. For each of the inspection activity, suggest one defect that would be encountered and its grading (i.e. minor or significant). (10 marks) 2. Find the single-stage plan by following ISO 2859-1 (using general inspection level II), with the AQL = 1%. (5 marks) 3. By using the sampling plan resulting from question #2, answer the following questions in the consumer's point of view: a) What is the OC(P) for rejecting 2 consecutive batches, if the quality level is p=0.01? (5 marks) b) What is the consumer's risk if LTPD = 0.05? (5 marks) 4. Find the double-stage sampling plan in accordance with ISO 2859-1 (using general inspection level II), with the AQL = 1%. (5 marks) 5. By using the sampling plan resulting from question #4, determine the OC(P) that the batch is rejected if the quality level is p = 0.02, by the using of both consumer's and producer's point of view (10 marks) Question #1 (40 marks) To celebrate the renaming of the University, the Human Resources Unit has ordered a single batch of 450 pieces umbrella with the new logo as souvenir. To ensure the umbrella are working well , the University would like to inspect the finish goods from the supplier by checking their functionality. Each piece can either be conforming or non-conforming. According to the contract, the quality level of the supplier's in-house quality control was 1%. Show ALL your calculation steps without the use of Microsoft Excel. 1. Explain briefly two (2) inspection activities that would be conducted on-site in order to check the functionality of the umbrella. For each of the inspection activity, suggest one defect that would be encountered and its grading (i.e. minor or significant). (10 marks) 2. Find the single-stage plan by following ISO 2859-1 (using general inspection level II), with the AQL = 1%. (5 marks) 3. By using the sampling plan resulting from question #2, answer the following questions in the consumer's point of view: a) What is the OC(P) for rejecting 2 consecutive batches, if the quality level is p=0.01? (5 marks) b) What is the consumer's risk if LTPD = 0.05? (5 marks) 4. Find the double-stage sampling plan in accordance with ISO 2859-1 (using general inspection level II), with the AQL = 1%. (5 marks) 5. By using the sampling plan resulting from question #4, determine the OC(P) that the batch is rejected if the quality level is p = 0.02, by the using of both consumer's and producer's point of view (10 marks)