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MAT 510 Final Exam Question 1 We learned in Chapter 2 that most processes are dynamic in nature, and therefore the time dimension is often a critical consideration in process improvement. For which of the case studies in Chapter 4 was plotting data over time NOT critical to success? Answer Reducing resin output variation Reducing telephone waiting time at a bank Resolving customer complaints of baby wipe flushability Realized revenue fiasco None of the above 4 points Question 2 1. The basic reason for randomness of sampling in design of experiments is: Answer Increase the chances that the sample represents the population Speed up the sampling process Guarantee to reduce the cost of inspection Guarantee correct interpretation of data None of the above 4 points Question 3 1. A 32 experiment means that we are experimenting with: Answer Two levels of three factors Two dependent variables and three independent variables Two go/no-go variables and three continuous variables Three levels of two factors None of the above 4 points Question 4 1. What should one consider when analyzing the results of an experiment? Answer Understanding of the science, technology and operation of the process being studied Creating graphical displays to aid in the analysis and interpretation of the results of the experiment Performing a statistical analysis to test the significance of the effects studied in the experiment All the above None of the above 4 points Question 5 1. In the experimental layout below, which are the most important factors? Factor A Factor B Factor C Y -1 -1 -1 150 1 -1 -1 148 -1 1 -1 156 1 1 -1 158 -1 -1 1 137 1 -1 1 132 -1 1 1 145 1 1 1 147 Answer Factor A Factor B Factor C Factors A and B Factors A and C Factors B and C All three factors (A, B and C) None of the above 4 points Question 6 1. Given the plot below, what might you suspect about factors A and B? Answer The effect of A is not influenced by the level of B The effect of A depends on the level of B A has a larger effect on the response than B B has a larger effect on the response than A None of the above 4 points Question 7 1. Models based on subject matter fundamentals (theory) are generally better than statistical models for: Answer Deep understanding of the process being modeled Extrapolation - Predicting outside the region of the available data Quick development of models A and B All of the above None of the above 4 points Question 8 1. The model residuals are examined to: Answer Check the adequacy of the model Check the assumptions of the analysis Identify ways to develop a better model if needed All of the above None of the above 4 points Question 9 1. If you had the following residual plots what would be your concerns regarding the adequacy of the model associated with these residuals? Answer Model is adequate. There is nothing of concern in the residual plots No problem, the residuals are normally distributed Residuals plots exhibit curvature versus the fitted value, but that is not a big problem Residuals plots have non-random patterns suggesting that the model is not adequate. None of the above 4 points Question 10 1. The best way to evaluate the validity of a statistical model is: Answer Analyze residuals of the model including the comparison of the model predictions and measured values Evaluate graphs of the data Check the prediction accuracy of the model using new data Compare the response effects measured by the model to those predicted by past experience and subject matter fundamentals All of the above 4 points Question 11 1. Process models are used to: Answer Understand the process Predict process performance in the future Measure the effects of process changes Manage, control and improve the process All of the above 4 points Question 12 1. For which of the following scenarios am I most likely to utilize a Chi-squared test? Answer Comparing the proportion of employees who take 10 or more sick days a year between three manufacturing plants Comparing the amount of variation in age between employees at four call centers Determining if there is any evidence that an independent variable has a relationship with y in a multiple regression model Comparing the average retirement age between hourly workers and management None of the above 4 points Question 13 1. I have calculated an interval to document the uncertainty in my estimate of the long-term standard deviation I will experience in time to pay invoices in my business going forward. Baaed on this information, this should be considered what type of interval? Answer Confidence interval for a parameter Prediction interval for a future observation Confidence interval for the difference in variation Prediction interval for the difference in variation None of the above 4 points Question 14 1. A local university ran a regression model on factors impacting starting job salary of employed graduates. After validating this as a reasonable model, the university noted that the regression coefficient for GPA had a p-value of .10. Which of the following would be a reasonable conclusion in this case? Answer We have convincing evidence that GPA does have a relationship with starting salary We have convincing evidence that GPA does not have a relationship with starting salary We have insufficient evidence to conclude that GPA has a relationship with starting salary We have insufficient evidence to develop a confidence interval for the regression coefficient for GPA None of the above 4 points Question 15 1. We are conducting a poll for the mayoral election of a medium sized city, and found with one week before the election that the Democrat candidate is leading with 52% planning to vote for her, 46% planning to vote for the Republican, with 2% not sure. The 95% confidence interval for proportion planning to vote for the Democrat is +/- 3%. Based on this information, and making reasonable assumptions, which of the following statements is correct? Answer Assuming there is no change in voter sentiment, we can be confident that the Democrat will win the election by receiving over 50% of the vote Assuming there is no change in voter sentiment, we can be confident that the Democrat will win the election by receiving more votes than the Republican Assuming there is no change in voter sentiment, we can be confident that the Republican will not receive more votes than the Democrat Neither candidate is leading at this point None of the above 4 points Question 16 1. Which of the following could be considered a prediction interval? Answer An interval documenting uncertainty in an estimated regression coefficient An interval documenting uncertainty in the average of the next month- daily revenues An interval documenting uncertainty in the difference between the average population cycle times in approving expense accounts between two business units An interval documenting uncertainty in the long-term return rate (%) of a consumer product ordered over the Internet None of the above 4 points Question 17 1. In evaluating data on our process outputs, four characteristics we might investigate are: central tendency, variation, shape of distribution, and stability. Which of the following tools would be most helpful to determine the shape of the distribution? Answer Scatter plot Histogram Pareto chart Run chart None of the above 4 points Question 18 1. In evaluating data on our process outputs, four characteristics we might investigate are: central tendency, variation, shape of distribution, and stability. Which of the following tools would be most helpful to determine stability of the process? Answer Scatter plot Histogram Pareto chart Run chart None of the above 4 points Question 19 1. A sample of 50 invoices are inspected each shift for errors, and classified as either “goodâ€Â, i.e., without error, or “badâ€Â, having some problem. If we plot our bad invoices each shift on a control chart, which chart should we use? Answer X-bar and R chart Individuals and moving range chart Either p or np chart Either a c or u chart None of the above 4 points Question 20 1. A process is said to be capable if: Answer The process consistently meets the customers needs The common cause variation is less than +/- 3ÃÆ’ The common cause variation fits within the specification limits The process is experiencing no special causes None of the above 4 points Question 21 1. Control limits were originally defined at the three-sigma level because: Answer This level provides a good balance between the risks of having “false alarms†and missing special causes This level establishes tight limits for the process to minimize variation This level provides only 3 false alarms out of 1,000 This level makes it difficult for special causes to occur None of the above 4 points Question 22 1. Process average or mean: Answer Is computed by dividing the total of the measurements made on the process by the number of measurements used to compute the total Approximates the center of the distribution of measurements made on the process A measure of the typical level of process performance All of the above None of the above 4 points Question 23 1. What is tool that can be used to detect the structure variation? Answer Average of a snap shot data Compute standard deviation of the collected data Construct a histogram of the data Understand and explain the “predictable unstable†data pattern None of the above 4 points Question 24 1. Processes are important because: Answer They tell us how a product or service is created Processes provide a context for problem solving and improvement Processes produce results --- Products and services All of the above None of the above 4 points Question 25 1. The primary goal of process mapping is to: Answer Understand how the process as it is actually operated Create a context for problem solving Document the process steps including beginning and end All of the above None of the above 4 points Save and Submit
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MAT 510 Final exam 100 out 100
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