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MAT 510 Final Exam (3 Set, 100% Score) updated
Question 1
Improvement is needed for an organization to survive because:
Question 2
The Statistical Thinking Strategy has significant commonality with the scientific method. Which of the following statistical thinking principles is NOT generally associated with the scientific method?
Question 3
Viewing a business as a system is important because:
Question 4
Improving the quality of process measurements is:
Question 5
Suppose the Problem Solving Framework were used to attack a problem where the process in question was inherently stable. Which of the following would be a likely result of this effort?
Question 6
The histogram below showing ages of credit card holders displays what type of distribution?
Question 7
A main purpose of a control chart is to:
Question 8
The histogram has which of the following limitations?
Question 9
Non-random and unpredictable patterns on a control chart indicate:
Question 10
A comparison between the Cp and Cpk for a process would find which of the following to be true?
Question 11
A statistic that is used to indicate too much correlation between the predictors in a regression analysis is called the:
Question 12
An Adjusted R-square value is a correlation coefficient that has been modified to account for:
Question 13
Tips for building useful models include:
Question 14
The model residuals are examined to:
Question 15
Results of regression analysis are often abused in the following ways:
Question 16
The basic reason for randomness of sampling in design of experiments is:
Question 17
In every experiment there is experimental error. Which of the following statements is true?
Question 18
An aspect of good experimental strategy is to study the effects of the variables
(Xs) over a wide range. This strategy increases the chances that effects will be found because:
Question 19
This technique is used to eliminate the effects of nuisance factors (e.g., machines, day of week, and season of year) from an experiment.
Question 20
A 32 experiment means that we are experimenting with:
Question 21
We ran a taste-test to see which soft drink employees in our company prefer. We had 100 employees, selected as randomly as possible, taste test two brands and determine which they preferred. Which of the following would be a reasonable statistical analysis to determine if there is a clear preference among our employees?
Question 22
We are testing the null hypothesis that the average monthly revenue between four insurance offices is the same. We obtained a p-value of .07. Which of the following would be an appropriate conclusion about the population?
Question 23
For which of the following scenarios am I most likely to utilize a Chi-squared test?
Question 24
Which of the following could be considered a prediction interval?
Question 25
I have made a mistake in copying data into my computer to perform a large regression model with 20 independent variables. Basically, I ended up with random data in each of the columns. However, I accidentally ran the regression anyway. Making reasonable assumptions, which of the following outcomes is most likely?
MAT 510 Final Exam Set 2
• Question 1
In every experiment there is experimental error. Which of the following statements is true?
• Question 2
This technique is used to eliminate the effects of nuisance factors (e.g., machines, day of week, and season of year) from an experiment.
• Question 3
An aspect of good experimental strategy is to study the effects of the variables
(Xs) over a wide range. This strategy increases the chances that effects will be found because:
• Question 4
A 32 experiment means that we are experimenting with:
• Question 5
Given the plot below, what might you suspect about factors A and B?
• Question 6
Which type of variation was critical to resolving the realized revenue case study?
• Question 7
Figure 2.15 displays a model of the statistics discipline, showing the relationship between statistical thinking, statistical engineering, and statistical methods and tools. Which of the following is a principle illustrated by this model?
• Question 8
The model residuals are examined to:
• Question 9
A statistic that is used to indicate too much correlation between the predictors in a regression analysis is called the:
• Question 10
The best way to evaluate the validity of a statistical model is:
• Question 11
George Box tells us “all models are wrong but some are useful”. By this comment he means:
• Question 12
Models based on subject matter fundamentals (theory) are generally better than statistical models for:
• Question 13
We are testing the null hypothesis that the average monthly revenue between four insurance offices is the same. We obtained a p-value of .07. Which of the following would be an appropriate conclusion about the population?
• Question 14
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?
• Question 15
After running an ANOVA comparing the average years of experience between five different job classifications, we obtained a p value of .02. Which of the following would be a reasonable conclusion concerning the population in this case?
• Question 16
For which of the following scenarios am I most likely to utilize a Chi-squared test?
• Question 17
Which of the following could be considered a prediction interval?
• Question 18
Improvement is needed for an organization to survive because:
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MAT 510 Midterm Exam (3 Set, 100% Score) updated
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MAT 510 Week 1 Homework Assignment 1 updated
Homework Assignment 1
Due in Week 1 and worth 30 points
Describe a work task, a hobby, or another activity that you regularly do, and sequentially list the various actions you take in order to complete this activity. Consider the complexity of your list and the amount of steps required to complete the activity.
Answer the following questions in the space provided below:
1. 1. Differentiate the main actions between doing and improving your activities.
2. 2. Determine the overall manner in which variation has affected your activities.
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MAT 510 Week 10 Homework Assignment 9 updated
Homework Assignment 9
Due in week 10 and worth 30 points
Suppose that there are two (2) candidates (i.e., Jones and Johns) in the upcoming presidential election. Sara notes that she has discussed the presidential election candidates with 15 friends, and 10 said that they are voting for candidate Jones. Sara is therefore convinced that candidate Jones will win the election because Jones gets more than 50% of votes.
Answer the following questions in the space provided below:
1. 1. Based on what you now know about statistical inference, is Sara’s conclusion a logical conclusion? Why or why not?
2. 2. How many friend samples Sara should have in order to draw the conclusion with 95% confidence interval? Why?
3. 3. How would you explain your conclusion to Sara without using any statistical jargon? Why?
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MAT 510 Week 2 Homework Assignment 2 updated
Homework Assignment 2
Due in Week 2 and worth 30 points
Answer the following questions in the space provided below:
Explain the importance of variation to health-care organizations and answer the following questions.
1. a. What might be the key processes for health-care organizations?
2. b. key processes of health-care organizations What are the potential common causes of variation that would have an impact on the?
3. c. What special causes might be more important than the others?
4. d. How might health-care organizations’ business environment be dynamic and change over time?
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MAT 510 Week 3 Homework Assignment 3 updated
Homework Assignment 3
Due in Week 3 and worth 30 points
The following data consists of the actual time used and potential (the best time possible for this review process) to complete each step in the review process. The actual times are based on the review of 30 projects. The potential times are subjective engineering judgment estimates.
Table: Basic Data Review for Construction Project Equipment Arrangement
Cycle Time (hours) | ||||
Step | Description | Actual | Potential | Difference |
1 | Read basic data package | 4 | 4 | — |
2 | Write, type, proof, sign, copy, and distribute cover letter | 21.9 | 0.5 | 21.4 |
3 | Queue | 40 | 0 | 40 |
4 | Lead engineer calls key people to schedule meeting | 4 | 0.25 | 3.75 |
5 | Write, type, proof, sign, copy, and distribute confirmation letter | 25.4 | 2.1 | 23.3 |
6 | Hold meeting; develop path forward and concerns | 4 | 4 | — |
7 | Project leader and specialist develop missing information | 12 | 12 | — |
8 | Determine plant preferred vendors | 12 | 12 | — |
9 | Review notes from meeting | 12 | 12 | — |
10 | Resolve open issues | 106 | 104 | 2 |
11 | Write, type, proof, sign, copy, and distribute basic data acceptance letter | 26.5 | 0.25 | 26.25 |
Totals | 267.8 | 151.1 | 116.7 |
Use the data in the table above and answer the following questions in the space provided below:
1. 1. What are the sources of value-added and non-value-added work in this process?
2. 2. Where are the main opportunities to improve the cycle time of this process, with respect to both actual time used and the potential best times? What strategy would you use?
3. 3. Step 10: Resolve Open Issues required 104 hours (potential) versus 106 hours (actual). Is there an OFI here? Why or why not? If so, how would you attack it?
4. 4. What do you think are the most difficult critical issues to deal with when designing a sound cycle time study such as this one?
Type your answers below and submit this file in Week 3 of the online course shell:
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MAT 510 Week 4 Case Study 1 Statistical Thinking in Health Care (2 Papers) updated
Case Study 1: Statistical Thinking in Health Care
Due Week 4 and worth 150 points
Read the following case study.
Ben Davis had just completed an intensive course in Statistical Thinking for Business Improvement, which was offered to all employees of a large health maintenance organization. There was no time to celebrate, however, because he was already under a lot of pressure. Ben works as a pharmacist’s assistant in the HMO’s pharmacy, and his manager, Juan de Pacotilla, was about to be fired. Juan’s dismissal appeared to be imminent due to numerous complaints and even a few lawsuits over inaccurate prescriptions. Juan now was asking Ben for his assistance in trying to resolve the problem, preferably yesterday!
“Ben, I really need your help! If I can’t show some major improvement or at least a solid plan by next month, I’m history.”
“I’ll be glad to help, Juan, but what can I do? I’m just a pharmacist’s assistant.”
“I don’t care what your job title is; I think you’re just the person who can get this done. I realize I’ve been too far removed from day-to-day operations in the pharmacy, but you work there every day. You’re in a much better position to find out how to fix the problem. Just tell me what to do, and I’ll do it.”
“But what about the statistical consultant you hired to analyze the data on inaccurate prescriptions?”
“Ben, to be honest, I’m really disappointed with that guy. He has spent two weeks trying to come up with a updated modeling approach to predict weekly inaccurate prescriptions. I tried to explain to him that I don’t want to predict the mistakes, I want to eliminate them! I don’t think I got through, however, because he said we need a month of additional data to verify the model, and then he can apply a updated method he just read about in a journal to identify ‘change points in the time series,’ whatever that means. But get this, he will only identify the change points and send me a list; he says it’s my job to figure out what they mean and how to respond. I don’t know much about statistics — the only thing I remember from my course in college is that it was the worst course I ever took– but I’m becoming convinced that it actually doesn’t have much to offer in solving real problems. You’ve just gone through this statistical thinking course, though, so maybe you can see something I can’t. To me, statistical thinking sounds like an oxymoron. I realize it’s a long shot, but I was hoping you could use this as the project you need to officially complete the course.”
“I see your point, Juan. I felt the same way, too. This course was interesting, though, because it didn’t focus on crunching numbers. I have some ideas about how we can approach making improvements in prescription accuracy, and I think this would be a great project. We may not be able to solve it ourselves, however. As you know, there is a lot of finger-pointing going on; the pharmacists blame sloppy handwriting and incomplete instructions from doctors for the problem; doctors blame pharmacy assistants like me who actually do most of the computer entry of the prescriptions, claiming that we are incompetent; and the assistants tend to blame the pharmacists for assuming too much about our knowledge of medical terminology, brand names, known drug interactions, and so on.”
“It sounds like there’s no hope, Ben!”
“I wouldn’t say that at all, Juan. It’s just that there may be no quick fix we can do by ourselves in the pharmacy. Let me explain how I’m thinking about this and how I would propose attacking the problem using what I just learned in the statistical thinking course.”
Source: G. C. Britz, D. W. Emerling, L. B. Hare, R. W. Hoerl, & J. E. Shade. “How to Teach Others to Apply Statistical Thinking.” Quality Progress (June 1997): 67–80.
Assuming the role of Ben Davis, write a three to four (3-4) page paper in which you apply the approach discussed in the textbook to this problem. You’ll have to make some assumptions about the processes used by the HMO pharmacy. Also, please use the Internet and / or Strayer LRC to research articles on common problems or errors that pharmacies face. Your paper should address the following points:
1.Develop a process map about the prescription filling process for HMO’s pharmacy, in which you specify the key problems that the HMO’s pharmacy might be experiencing. Next, use the supplier, input, process steps, output, and customer (SIPOC) model to analyze the HMO pharmacy’s business process.
2.Analyze the process map and SIPOC model to identify possible main root causes of the problems. Next, categorize whether the main root causes of the problem are special causes or common causes. Provide a rationale for your response.
3.Suggest the main tools that you would use and the data that you would collect in order to analyze the business process and correct the problem. Justify your response.
4.Propose one (1) solution to the HMO pharmacy’s on-going problem(s) and propose one (1) strategy to measure the aforementioned solution. Provide a rationale for your response.
5.Use at least two (2) quality references. Note: Wikipedia and other Websites do not qualify as academic resources.
Your assignment must follow these formatting requirements:
•Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides; citations and references must follow APA format. Check with your professor for any additional instructions.
•Include a cover page containing the title of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page and the reference page are not included in the required assignment page length.
The specific course learning outcomes associated with this assignment are:
•Describe how organizations use statistical thinking to be more competitive.
•Apply the basic principles of statistical thinking to business processes.
•Apply the SIPOC model to identify OFIs in business processes.
•Use technology and information resources to research issues in business process improvement.
•Write clearly and concisely about business process improvement using proper writing mechanics.
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MAT 510 Week 4 Homework Assignment 4 updated
Homework Assignment 4
Due in Week 4 and worth 30 points
Discuss one (1) project where you used a problem-solving approach to address what turned out to be common-cause variation, or where you used a process improvement approach to deal with a special cause.
If you do not have a personal experience that echoes either of these situations, you may use Internet to search for a case that reflects either of these situations.
Examples:
· one’s personal investment strategy since 2008
· reducing waiting times at the local hospital or emergency room
· reducing difficulties trying to connect to a Wi-Fi Internet provider
Answer the following questions in the space provided below:
1. 1. Describe the experience in the project.
2. 2. What were the solutions used to address the problem?
3. 3. Was the case you described a special-cause or common-cause?
4. 4. Do you feel the solution or approach used appropriate for the cause?
5. 5. What would you do if you could do it again?
6. 6. What conclusions can you draw from the problem-solving or process-improvement techniques?
Note: You may create and / or make all necessary assumptions needed for the completion of this assignment. In your original work, you may use aspects of existing processes from either your current or a former place of employment. However, you must remove any and all identifying information that would enable someone to discern the organization(s) that you have used.
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MAT 510 Week 6 Homework Assignment 5 updated
Homework Assignment 5
Due in Week 6 and worth 30 points
The data in below table lists country code and the order to remittance (OTR) time for hardware / software installations for the last 76 installations (from first to last). OTR is the time it takes from an order being placed until the system is installed and we receive payment (remittance). Because this company does business internationally, it also notes the country of installation using a country code. This code is listed in the first column.
Use the date in table above and answer the following questions in the space provided below:
1. Does the OTR time appear to be stable? Why or why not?
2. If you were to use a control chart to evaluate stability, which chart would you use? Why?
3. What can you learn about the distribution of the installation process?
4. Does it appear that the country has an impact on installation time? Why or why not?
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MAT 510 Week 6 Homework Assignment 6 updated
Due in Week 8 and worth 30 points
The experiment data in below table was to evaluate the effects of three variables on invoice errors for a company. Invoice errors had been a major contributor to lengthening the time that customers took to pay their invoices and increasing the accounts receivables for a major chemical company. It was conjectured that the errors might be due to the size of the customer (larger customers have more complex orders), the customer location (foreign orders are more complicated), and the type of product. A subset of the data is summarized in the following Table.
Table: Invoice Experiment Error Customer Size Customer Location Product Type Number of Errors - - - 15 + - - 18 - + - 6 + + - 2 - - + 19 + - + 23 - + + 16 + + + 21 Customer Size: Small (-), Large (+) Customer Location: Foreign (-), Domestic (+) Product Type: Commodity (-), Specialty (=)
Reference: Moen, Nolan, and Provost (R. D. Moen, T. W. Nolan and L. P. Provost. Improving Quality through Planned Experimentation. New York: McGraw-Hill, 1991)
Use the date in table above and answer the following questions in the space provided below:
1. 1. What was the average effect of the process change? Did the process average increase or decrease and by how much?
2. 2. Analyze the data using the regression model y = b0 + b1x, where y = time to approve and mail a claim (weekly average), x = 0 for the old process, and x = 1 for the updated process.
3. 3. How does this model measure the effect of the process change?
4. 4. How much did the process performance change on the average? (Hint: Compare the values of b1 and the average of updated process performance minus the average of the performance of the old process.)
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MAT 510 Week 7 Homework Assignment 6 updated
Homework Assignment 6
Due in Week 7 and worth 30 points
The data in the table below is from a study conducted by an insurance company to determine the effect of changing the process by which insurance claims are approved. The goal was to improve policyholder satisfaction by speeding up the process and eliminating some non-value-added approval steps in the process. The response measured was the average time required to approve and mail all claims initiated in a week. The updated procedure was tested for 12 weeks, and the results were compared to the process performance for the 12 weeks prior to instituting the change.
Table: Insurance Claim Approval Times (days)
Old Process | New Process | |||
Week |
Elapsed Time |
Week |
Elapsed Time | |
1 | 31.7 | 13 | 24 | |
2 | 27 | 14 | 25.8 | |
3 | 33.8 | 15 | 31 | |
4 | 30 | 16 | 23.5 | |
5 | 32.5 | 17 | 28.5 | |
6 | 33.5 | 18 | 25.6 | |
7 | 38.2 | 19 | 28.7 | |
8 | 37.5 | 20 | 27.4 | |
9 | 29 | 21 | 28.5 | |
10 | 31.3 | 22 | 25.2 | |
11 | 38.6 | 23 | 24.5 | |
12 | 39.3 | 24 | 23.5 |
Use the date in table above and answer the following questions in the space provided below:
1. What was the average effect of the process change? Did the process average increase or decrease and by how much?
2. Analyze the data using the regression model y = b0 + b1x, where y = time to approve and mail a claim (weekly average), x = 0 for the old process, and x = 1 for the updated process.
3. How does this model measure the effect of the process change?
4. How much did the process performance change on the average? (Hint: Compare the values of b1 and the average of updated process performance minus the average of the performance of the old process.)
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MAT 510 Week 8 Case Study 2 Improving E-Mail Marketing Response (2 Papers) updated
Case Study 2: Improving E-Mail Marketing Response
Due Week 8 and worth 160 points
Read the following case study.
Students, please view the “Submit a Clickable Rubric Assignment” in the Student Center.
Instructors, training on how to grade is within the Instructor Center.
A company wishes to improve its e-mail marketing process, as measured by an increase in the response rate to e-mail advertisements. The company has decided to study the process by evaluating all combinations of two (2) options of the three (3) key factors: E-Mail Heading (Detailed, Generic); Email Open (No, Yes); and E-Mail Body (Text, HTML). Each of the combinations in the design was repeated on two (2) different occasions. The factors studied and the measured response rates are summarized in the following table.
Write a two to three (2-3) page paper in which you:
1. Use the data shown in the table to conduct a design of experiment (DOE) in order to test cause-and-effect relationships in business processes for the company.
2. Determine the graphical display tool (e.g., Interaction Effects Chart, Scatter Chart, etc.) that you would use to present the results of the DOE that you conducted in Question 1. Provide a rationale for your response.
3. Recommend the main actions that the company could take in order to increase the response rate of its e-mail advertising. Provide a rationale for your response.
4. Propose one (1) overall strategy for developing a process model for this company that will increase the response rate of its e-mail advertising and obtain effective business process. Provide a rationale for your response.
Your assignment must follow these formatting requirements:
· Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides; citations and references must follow APA or school-specific format. Check with your professor for any additional instructions.
· Include a cover page containing the title of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page and the reference page are not included in the required assignment page length.
The specific course learning outcomes associated with this assignment are:
· Build regression models for improving business processes.
· Design experiments to test cause-and-effect relationships in business processes.
· Use technology and information resources to research issues in business process improvement.
· Write clearly and concisely about business process improvement using proper writing mechanics.
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MAT 510 Week 8 Homework Assignment 7 updated
Homework Assignment 7
Due in Week 8 and worth 30 points
The experiment data in below table was to evaluate the effects of three variables on invoice errors for a company. Invoice errors had been a major contributor to lengthening the time that customers took to pay their invoices and increasing the accounts receivables for a major chemical company. It was conjectured that the errors might be due to the size of the customer (larger customers have more complex orders), the customer location (foreign orders are more complicated), and the type of product. A subset of the data is summarized in the following Table.
Reference: Moen, Nolan, and Provost (R. D. Moen, T. W. Nolan and L. P. Provost. Improving Quality through Planned Experimentation. New York: McGraw-Hill, 1991)
Use the date in table above and answer the following questions in the space provided below:
1. 1. What is the nature of the effects of the factors studied in this experiment?
2. What strategy would you use to reduce invoice errors, given the results of this experiment?
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MAT 510 Week 9 Homework Assignment 8 updated
Homework Assignment 8
Due in Week 9 and worth 30 points
Suppose the number of equipment sales and service contracts that a store sold during the last six (6) months for treadmills and exercise bikes was as follows:
Treadmill Exercise Bike
Total sold 185 123
Service contracts 67 55
The store can only sell a service contract on a updated piece of equipment. Of the 185 treadmills sold, 67 included a service contract and 118 did not.
Complete the following questions in the space provided below:
1. 1. Construct a 95 percent confidence interval for the difference between the proportions of service contracts sold on treadmills versus exercise bikes.
2. Is there a major difference between the two pieces of equipment? Why or why not?