4 questions about Excel QM
(STAT-201) You can choose either of the following two ways to upload the solution: 1. Copy the solution from Excel QM, paste it onto the assignment worksheet (attached), and upload the Word file to the blackboard. 2. Take a screenshot of the solution to each question and upload the PDF file of all the merged screenshots. Solve the following questions using Excel QM. (2×4 = 8 marks) 1. Helping others through blood donation is a form of social solidarity or social responsibility. The blood donors cite a sense of social responsibility as their reason for donating blood, and as a result, the communities value and reward this activity. The following table shows the number of blood donors in a university from 2011–2023. Develop a 3-year moving average forecast and obtain the related statistical measures using excel QM. Solution: year Blood Donors 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 116 105 146 159 108 194 227 219 234 224 248 253 265 311 2. University X has a unique on-campus dispensary that provides medical care. On a typical working day, patients arrive at the dispensary at an average rate of 2 patients per hour. There is one single nurse at the dispensary, and the average time required to give a consultation is 12 minutes. It is assumed that the service times can be described by the exponential distribution, and the arrival process by a Poisson distribution. You are requested to find: a. The average time in line, b. The average number of patients in line, c. The average time in the system, d. The average number of patients in the system, e. The probability that the dispensary is empty, f. The utilization factor of the system. Solution: 3. Assume that you are a statistical consultant and want to provide a volunteer consultation to a start-up company as a social responsibility consultation. The company is planning to purchase a uniform outfit for their employees, and they obtained the following quantity discount table with three discount options: DISCOUNT NUMBER DISCOUNT QUANTITY DISCOUNT COST (SAR) 1 0 to 49 100 2 50 to 99 90 3 100 and over 85 Annual demand is 400 outfits, ordering cost is 50, and holding cost is 25% of the cost of the outfit. Use Excel QM to find the discount option with the minimum total cost. Solution: 4. To help needy people through charity is a form of social responsibility. The act of doing charity to help others is recognized and rewarded by all communities of the society. The following table shows the amount collected through charity and the amount spent on social development (in million dollars) in the last 8 years. Find the correlation and coefficient of determination for the given data and obtain the related statistical measures using excel QM. Year 1 2 3 4 5 6 7 8 Solution: Amount collected(y) 18 14 12 15 10 8 9 6 Amount spent(x) 15 10 9 12 5 4 6 3
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