Quote for three problems> Thanks 1) Clinical Lab is a scientific blood testing facility that receives samples from local hospitals and clinics. The blood samples are passed through several automated...

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Quote for three problems> Thanks 1) Clinical Lab is a scientific blood testing facility that receives samples from local hospitals and clinics. The blood samples are passed through several automated tests, and the results are printed through a central computer that reads and stores the information about each sample that it is tested. Management is concerned about the quality of the service it provides and wants to establish quality control limits as a measure for the quality of its tests. Such managerial practice is viewed as significant, because incorrect analysis of a sample can lead to a wrong diagnosis by the physician, which in turn may cost the life of a patient. For this reason, 100 blood samples were collected at random each day after they had gone through testing. After retesting was performed manually on this sample, the results were: Day Incorrect Analysis Day Incorrect Analysis 1 8 11 4 2 3 12 6 3 1 13 5 4 0 14 10 5 4 15 2 6 2 16 1 7 9 17 0 8 6 18 6 9 3 19 3 10 1 20 2 1. Construct a p-chart to be used in assessing the quality of service described above. 1. On average, what is the expected number of incorrect tests per 100 samples? 1. Later, another sample of 100 was taken. After the accuracy of the tests was established, 10 samples were found to have been analyzed incorrectly. What is your conclusion about the quality of this service? Explain. 2) Clinical Lab is a scientific blood testing facility that receives samples from local hospitals and clinics. The blood samples are passed through several automated tests, and the results are printed through a central computer that reads and stores the information about each sample that it is tested. Management is concerned about the quality of the service it provides and wants to establish quality control limits as a measure for the quality of its tests. Such managerial practice is viewed as significant, because incorrect analysis of a sample can lead to a wrong diagnosis by the physician, which in turn may cost the life of a patient. For this reason, 100 blood samples were collected at random each day after they had gone through testing. After retesting was performed manually on this sample, the results were: Day Incorrect Analysis Day Incorrect Analysis 1 8 11 4 2 3 12 6 3 1 13 5 4 0 14 10 5 4 15 2 6 2 16 1 7 9 17 0 8 6 18 6 9 3 19 3 10 1 20 2 1. Construct a p-chart to be used in assessing the quality of service described above. 1. On average, what is the expected number of incorrect tests per 100 samples? 1. Later, another sample of 100 was taken. After the accuracy of the tests was established, 10 samples were found to have been analyzed incorrectly. What is your conclusion about the quality of this service? Explain. · · · Exercise 2 (10 points) The three most important quality attributes at Mike’s Super Service fast-food restaurant are considered to be good food, fast services, and a clean environment. The restaurant manager uses a combination of customer surveys and statistical measurement tools to monitor these quality attributes. A national marketing and research firm has developed data showing that when customers are in line up to five minutes their perception of that waiting time is only a few minutes; however, after five minutes customer perception of their waiting time increases exponentially. Furthermore, a five-minute average waiting time results in only 2% of customers leaving. The manager wants to monitor speed of service using a statistical process control chart. At different times during the day over a period of several days the manager had an employee time customers’ waiting times (from the time they entered an order line to the time they received their order) at random. There were 15 samples taken of size 6. The data is provided below.   Waiting Times (min)       Sample 1 2 3 4 5 6 1 6.3 2.7 4.5 3.9 5.7 5.9 2 3.8 6.2 7.1 5.4 5.1 4.7 3 5.3 5.6 6.2 5 5.3 4.9 4 3.9 7.2 6.4 5.7 4.2 7.1 5 4.6 3.9 5.1 4.8 5.6 6 6 5.5 6.3 5.2 7.4 8.1 5.9 7 6.1 7.3 6.5 5.9 5.7 8.4 8 2.2 3.6 5.7 5.3 5.6 5 9 6.5 4.7 5.1 9.3 6.2 5.3 10 4.7 5.8 5.4 5.1 5 5.9 11 3.4 2.9 1.6 4.8 6.1 5.3 12 4.5 6.3 5.4 5.7 2.1 3.4 13 7.4 3.9 4.2 4.9 5.6 3.7 14 5.7 5.3 4.1 3.7 5.8 5.7 15 6 3.6 2.4 5.4 5.5 3.9 1. Develop an x-bar and R-chart to monitor the speed of service and indicate whether the process is in control. Justify your answer. 3) A large law firm uses an average of 40 packages of copies paper per day. The firm operates 260 days a year. Storage and handling costs for the paper are $3 a year per pack, and it costs approximately $6 to order and receive a shipment of paper. a. What order size would minimize total annual ordering and carrying costs? b. Compute the total annual cost using your order size from part a. c. Except for rounding, are annual ordering and carrying costs always equal at the EOQ? d. The office manager is currently using an order size of 200 packages. The partners of the firm expect the office to be managed “in a cost-efficient manner.” Would you recommend that the office manager use the optimal size instead of 200 packages? Justify your answer.