A.Zargari Page 1 3/15/2016 Individual Project II (50 points): Please solve and submit your completed project by 225-2014 at 10:00 p.m. 1. Explain the foundation of Shewhart’s notion of scientific approach and the basic activities involved in developing means for satisfying the customers (in approximately 100 words) Dr. Shewart taught that it was very important to installing management processes to create profitable situations the organization and the customer as well. Dr. Shewart was such a strong believer in what he did that he went on to create what we call quality tools that can help us manage different types of management process in an industry setting. Another great tool that has been the foundation of Quality Assurance for many years now is the PDCA cycle (PDSA). This is a cycle that relies on continuous evaluation of your management practices. He thought that these aspects were key in have happy customers and therefore having a successful company. http://www.skymark.com/resources/leaders/shewart.asp 2. Explain the Juran Trilogy, in approximately 50 words: The Juran Trilogy is a method that is used to help with Quality Management. It consist of primarily of three steps quality planning which is the phase where you are making processes to ensure you have happy consumers, quality control which deals with the execution of the plans you made in the previous section, and finally quality improvement http://www.businessgyan.com/node/5409 3. Briefly list and describe the purpose for basic tools for quality improvement (Basic Process Improvement Toolbox). There are seven tools that you can use for quality improvement; they are called basic because a individual does not need to have training in statistics to understand them. The seven basic tools are: cause and effect diagram, check sheet, control chart, histogram, scatter diagram, pareto chart, and a flow chart or run chart 4. Explain the properties of random variables Random variables first off have to be selected out of a population, it is best if they are taking from different areas of the population to get a better understanding in your sample size. There are two different types of random variables, qualitative and quantitative. A.Zargari 5. Page 2 3/15/2016 The data shown below are the times in minutes that successive customers had to wait for service at an oil change facility. Using hand calculation and formula 1) find sample mean and standard deviation, 2) construct a histogram, and 3) use MINITAB to validate your findings and the histogram. 9.93 9.92 9.97 9.96 9.91 9.90 10.09 10.07 10.01 10.10 10.13 9.78 9.97 10.08 10.15 9.93 9.99 9.91 10.05 9.88 9.98 10.07 9.92 10.01 9.94 9.88 10.05 10.06 10.21 10.13 9.92 9.84 10.09 9.84 9.98 9.92 10.01 9.86 9.95 9.83 9.98 10.01 10.09 10.08 10.00 10.02 10.03 10.03 10.02 9.97 The minitab data shows a slight difference in my hand work, most likely because of a miss calculation. A.Zargari Page 3 3/15/2016 A.Zargari 6. 7. Page 4 3/15/2016 If the probability that any individual will react positively to a drug is 0.8, what is the probability that 4 individuals will react positively from a sample of 10 individuals? Suppose the average number of customers arriving at ATM during the lunch hour is 12 customers per hour. The probability of exactly two arrivals during the lunch hour is: A.Zargari Page 5 3/15/2016 8. In a sample of 100 items produced by a machine that produces 2% defective items, what is the probability that 5 items are defective? (Calculate with binomial distribution formula and verify your response using MINITAB). Solve the question #8 using Poisson distribution formula and verify your response using MINITAB. 9. It is assumed that the inductance of particular inductors produced by ABC Company is normally distributed. The of inductors is = 20,000 mH, and of 90 my. If acceptable inductance range is from 19,750 mH to 20,200 mH. Using both formula and MINITAB, determine the expected number of rejected inductors in a production run of 10,000 inductors. A.Zargari Page 6 3/15/2016 Z test nubers taken from: http://clas.sa.ucsb.edu/staff/binh/stdNormalTable.pdf 10. Explain Null Hypothesis, Alternative Hypothesis, Types of error, Significance Level, Risk Level in hypothesis testing Null Hypothesis: The null hypothesis, H0, represents an educated guess or theory that has been brought up, this guess is to be tested to see if it is true. Alternative Hypothesis: this type of hypothesis is used in opposition of the null hypothesis. Types of error: there are two types of errors a type 1 error is when the null hypothesis is wrongly rejected. Meaning that it is true. A type 2 error happens when the null hypothesis is not rejected and it is in fact false. Significance level: this is the probability that a type 1 error will happen, and we want to make this as small as possible. It usually a fixed value already being set by the one testing the hypothesis. Risk level: 11. Formulate the appropriate null hypothesis and alternative hypothesis for testing that the starting salary for graduates with a B.S. degree in electrical engineering is greater than $38,000 per year. The significance, or risk, is: What does = 0.05 mean? H0=Starting salary is 38000 a year with a B.S. degree in Electrical engineering A.Zargari Page 7 3/15/2016 H1=Starting salary is less than 38000 a year with a B.S. degree in the same field. The alpha symbol indicates the significance level has a 5% chance for a type 1 error to occur 12. In a New York Times/CBS poll, 56 percent of 2,000 randomly selected voters in New York City said that they would vote for the incumbent in a certain twocandidate race. Calculate a 95 percent confidence interval for the population proportion. Discuss its implication. Carefully discuss what is meant by the population, how you would carry out the random sampling, and what other factors could lead to differences between the responses to the surveys and the actual votes on the day of the election. I am not sure how to interpret the data when it comes to discussing the population. 13. A random sample of 50 teaching assistants at the University of Iowa in the fall of 1996 indicated that 30 of them were planning to join the union for teaching assistants. Calculate a 95 percent confidence interval for the proportion of University of Iowa teaching assistants who are in favor of joining a union. A.Zargari Page 8 3/15/2016 14. Suppose that the number of wire-bonding defects per unit that occur in a semiconductor device is Poisson distributed with parameter lambda (Mu or variance) of 4. Then, the probability that a randomly selected semiconductor device will contain 2 or fewer wire-bonding defects is: ????? 15. List and explain Deming’s 7 deadly diseases. Lack of constancy of purpose. Ensure that you have a vision and a purpose overall to stay in business and contribute back to the community, or philanthropy. Dont just be a company of numbers and fall victim to the cubicles of doom. Emphasis on short-term profits. Dont sacrifice in the short term always have a long term plan and invest back into the company. Dont withhold capital investment at the expense of the balance sheet or investors. Evaluation by performance, merit rating, or annual review of performance. Dont use the reward system studies show it can have an actual negative impact on performance. People can pass their problems onto others or get in a defensive posture to ensure that the problems didnt occur on their watch. Also people will always strive to look better than their peers in order to gain an artificial advantage. they can also manipulate the numbers to make themselves more worthy to upper management when in fact they did nothing. Mobility of management. Strive to keep management in the same positions in the long term for added stability. Constant change will always shift the work objectives and philosophies so this constant change can inhibit true positive change and growth. Running a company on visible figures alone. Dont just use numbers such as profit or performance charts to drive behavior. Be engaged in the workforce and drive change through strong leadership from the ground up. Work hard and always strive to help each other and be positive. Excessive medical costs. Find ways to reduce health care costs as a company due to the political and social climate of rising health care costs year over year. Excessive costs of warranty, fueled by lawyers who work for contingency fees. This problem is more focused on American society, lawyers fighting constant litigation to protect the companies and government. 16. Explain who, when, and why six sigma was developed. What is the focus of six sigma? A.Zargari Page 9 3/15/2016 Six sigma was developed by Motorola in 1986. Six Sigma seeks to improve the quality of process outputs by identifying and removing the causes of defects in an industry setting. 17. Explain the DMAIC process and its relevance to quality. The DMAIC process stands for define, measure, analyze, improve, control, and is an improvement system for existing processes falling below specification that has been set by six sigma and wants to improve their already failing process. The DMAIC method is a sub-method that six sigma uses to ensure quality in organizations that have noticed they have fallen below the specifications. 18. What is HISTOGRAM and why it is being used? A histogram is a way of summarizing data in a graphical representation. A histogram only needs to use data that has a numerical value to it. You would usually use a histogram when you have a very large sample size. A stem and leaf plot is very similar to a histogram, it is used when you have a smaller number in your sample. http://www.google.com/url?sa=i&source=images&cd=&cad=rja&docid=am6aaPA Nqdao3M&tbnid=LROyDFVvjvBcM:&ved=0CAcQjB0&url=http%3A%2F%2Fen.wikipedia.org%2Fwiki%2FH istogram&ei=RZ0OU5fkD4u_sQTz5ICgAQ&psig=AFQjCNEB3Y_wkYIiwtZ7RB99I 72pV_0sWg&ust=1393553093334351 A.Zargari 19. 20. Page 10 3/15/2016 Define Probability Distribution. What is the difference between discrete and continuous distributions? Provide Examples. Probability distribution is a list of all possible probabilities that can happen with a random variable. Continuous distributions are ones that have an infinite number of possibilities such as height or weight. Discrete distribution is something that can take the form of only one countable number such as 1, 2, 3, 4, and so on. Define Bernoulli trials and Poisson distributions and explain their uses in Quality. Give example. A Bernoulli trial is when the outcome of each test that is run is either a success or a failure. It is used to sample something with a large population. The Poisson distribution is a count of the number of events that occur in a certain time interval.