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May 30, 2022

i only need Q1, Q4, Q7, Q6 and Q11 and plz high

Mathematics / Statistics

 i only need Q1, Q4, Q7, Q6 and Q11 and plz highlight all your answers or use a different font and color..please only message me if you can complete within 24 hrs from now . 

  • attachment

    LSSGB.docx

  • attachment

    LSSGB_exl.xlsx

Lean Six Sigma Green Belt (LSSGB)

Final Exam Review

Instructions:

· The answers should be typed in order and submitted as one PDF file (with charts/graphs done using Microsoft Excel, Minitab, and/or VISIO and inserted into a WORD file) along with one Excel and/or one Minitab file(s) with one sheet per question, as appropriate. The WORD file should be converted to PDF before submission. ALL the answers should be explained in the WORD/PDF file. Please do not expect us to look for your answers/justifications in the Excel/Minitab files.

· If any references or external sources are used in solving any of the questions, those should be appropriately cited and included in a References section.

Question 1 [430 Points]: Read the case study carefully below and provide answers to the questions that follow.

According to Binghamton University’s Hospital CFO newsletter, labor costs have typically averaged 50 percent of hospitals’ total operating revenue for the past decade. The American Hospital Association also reported in 2012 that growing labor costs are the most important factor in increasing hospital care costs and found that wages and benefits accounted for more than 59 percent of hospital costs in 2014. Improving the shift changes for nursing staff is one of the areas of opportunity to control hospital staffing costs while maximizing operational efficiency. A 600-bed hospital in Binghamton, NY, initiated a project to improve its nursing shift change process to cut labor costs without negatively affecting the quality of patient care. This hospital has a formal operational excellence department that primarily uses the Lean Six Sigma methodology. The project was approved and facilitated by this department as well as the service line director of nursing. Working with Mr. John Doe, a Lean Six Sigma Black Belt as their mentor, the nurse manager and day nurse supervisor for the medicine and surgery unit led the project.

The shift-change nursing report is the primary tool used to ensure continuity of care as staff change happens every 12 hours. The report contains pertinent patient information and is given to the arriving nurse before the previous nurse on duty leaves at the end of a shift. Nursing assignments are given to the arriving nurse and include the list of patients they are to care for. The process of nursing shift change begins with staff punching in, then their belongings are put away before they get assignments. Then, the current nurses need to give assignments and shift-change reports to the next shift nurses. There are typically five registered nurses on the team. Often the five nurses from the day shift have to interact with each of the five nurses on the night shift as dictated by the patient assignments. The outputs of the process are time, Hospital

Consumer Assessment of Healthcare Providers and Systems (HCAHPS) scores, employee satisfaction, salary, etc. The customers are the service line director and patients.

In order to measure improvement, the team decided to call upon the overall time it took to produce the nursing report. The cycle time of staff punch in is 10 seconds, the Transaction Time I before they put away their belongings is another 10 seconds, and they need 2 minutes to put away the belongings. And 10 more seconds are needed to get the assignment after 2 minutes Transaction Time II. The report is given individually, so the cycle time of reporting with the 1st nurse is 7 minutes, reporting with the 2nd nurse is 6 minutes, and reporting with the 3rd nurse is also 6 minutes. There are transaction times between each procedure, so Transaction Times III, IV, V are all 5 minutes. The total lead time of the current nursing shift change process is 43 minutes, which is considered as a defect. The objective of this effort is to decrease it to 30 minutes.

To begin addressing potential solutions for non-value-added (NVA) wait time, the team completed a failure mode and effects analysis (FMEA) chart. This analysis is a complete and quantified cause and effect chart that pinpoints potential reasons why the shift-change report is taking so long to complete. Included in the FMEA is a risk priority number, which suggests the factors that should take the highest priority in promoting change. There are six steps for completing the FMEA:

1. Analyze what may be causing a long nursing report.

2. Identify how the step can go wrong.

3. Identify what impact the step has on the nursing report.

4. Determine potential causes for the problem.

5. Assess potential controls that exist for the problem.

6. Identify how to reduce the likelihood of the problem.

Upon observing and analyzing the data, the team identified a key area for most effectively eliminating waste. It was clear that the most significant and controllable source of unnecessary payroll expenditures existed in the number of nurses involved in producing the shift-change reports. After deploying the process change, the average lead time to complete the nursing shift change report has been reduced to 30 minutes.

As a Lean Six Sigma Green Belt, please answer the following questions (feel free to state any assumptions that might be necessary for you to address the following questions):

1. Identify the stakeholders and their roles in this project and discuss their potential impact or concerns (30 points).

2. Based on the information in the case study, develop a Project Charter for this project. Please use the template provided in the LSSGB_Final_Exam_December_2021.xls Excel file. For the milestones, assume that the project’s start date is January 1 and the end date is June 30 (30 points).

3. Based on the provided information only, develop a process map for the nursing shift change process (30 points).

4. Develop a VSM based on your developed process map for the nursing shift change process, and then identify the value-added and non-value-added activities (30 points).

5. Based on the provided information only, develop a SIPOC diagram for the nursing shift change process (30 points).

6. Perform a cause-and-effect analysis for the problem identified (30 points).

7. Based on your understanding of the problem, develop a preliminary Why-Why diagram (30 points).

8. The hospital analyzed the assessments from HCAHPS. Create a Pareto chart based on the given data and comment on the results. There are 361 received complaints, which are grouped into nine categories. The data is shown in the following table and is also available in the LSSGB_Final_Exam_December_2021.xls Excel file (30 points).

Complaint Type

Frequency

Solving Time

61

Information Provided

35

Received Treatment

50

Too Many Formalities

34

Timetable

65

Waiting Time

41

Personal Skill

18

Others

15

Forms Missing

42

9. To begin addressing potential solutions for NVA wait time, the team completed a failure mode and effects analysis (FMEA). The incomplete FMEA is given in the table below, which is also provided in the LSSGB_Final_Exam_December_2021.xls Excel file. Complete the FMEA based on your understanding (You are encouraged to make any necessary assumptions) (50 points).

Failure Mode

Failure

Severity

Potential

Occurr

Current

Detection

RPN

Actions

Effects

Causes

ence

Controls

Recommended

Too many

staff nurses to

None

give a report

to

Report is

Potential

to off-put

given based

off going/

on staff nurse

ongoing

preference

nurse

Timing of

charge nurse

None

in report

Doesn’t

Don’t

directly

utilize the

measure

report

report time

Relationship

Potential

development

to off-put

versus actual

off going

report

nurse

10. Develop a ‘matrix diagram’ based on your developed FMEA analysis (you are encouraged to make any necessary assumptions) (25 points). This was not covered in the program, so you might need to read about matrix diagrams before answering the question.

11. Calculate 90%, 95%, and 99% confidence intervals for the parameters below. The required data is provided in the LSSGB_Final_Exam_December_2021.xls Excel file (30 points):

· Number of Received Complaints per Month

· Improved Nursing Shift Change Duration (minutes)

· Number of Arrival Patients per Week

12. After finishing the Six Sigma Project for nursing shift change, the hospital is also interested in improving the medication order entry process. The team decided to use quality function deployment (QFD) to link the needs of the customers with the design and development of the process functions.

Calculate the absolute value and relative value for the QFD provided below. (MAR = medication administration record, TAT = turnaround time) (30 points).

13. Fifty observations of nursing shift change duration are collected for the period before the Lean Six Sigma Project (Pre Shift Change Time) and after the Lean Six Sigma Project (Post Shift Change Time). Construct an I-chart (Hint: The individual chart (I-Chart) is used to detect trends and shifts in the data, and thus in the process.) for both pre-process and post-process for the nursing shift change duration based on the data provided in the LSSGB_Final_Exam_December_2021.xls Excel file (25 points). This was not covered in the program, so you might need to read about I-Charts before answering the question.

14. Based on your understanding of the problem, list at least five ideas as your improvement plan? What would you recommend in your control plan to ensure sustainable improvements? (30 points)

Question 2 [50 Points]: Andy is a quality manager in a display development company. He found some quality issues about a heatsink hole on the printed circuit board (PCB) when developing the heatsink. A heatsink absorbs and dissipates heat from an electronic component through contact with PCB, or thermal interface material, which increases the thermal mass and heat dissipation (conduction/convection). To improve the manufacturing process of the heatsink hole, he measures the

precision of the system and performs a Gauge R&R study to investigate the uncertainty of the process. Two operators are chosen for the study. Each operator measures ten surface areas of the heatsink two times. The tolerance specification is 0.6 in2 and the study variation is 5.15 in2. The measurements are recorded in the table below. The data is also provided in the LSSGB_Final_Exam_December_2021.xls Excel file. Conduct a Gage R&R study and comment on the results. (Hint: The Excel template provided in the course is only applicable for three operators. You are expected to modify the template or use Minitab to solve this question.)

Sample

Operator 1

Operator 2

R1

R2

R1

R2

1

12.37

12.36

12.35

12.34

2

12.33

12.29

12.35

12.32

3

12.32

12.31

12.29

12.30

4

12.30

12.30

12.32

12.31

5

12.31

12.31

12.31

12.28

6

12.34

12.35

12.34

12.33

7

12.35

12.34

12.35

12.35

8

12.32

12.31

12.29

12.30

9

12.31

12.33

12.29

12.32

10

12.35

12.34

12.32

12.32

Question 3 [55 Points]: Printed Circuit Boards (PCBs) are becoming more sophisticated due to the increasing market demands on complex electronics. Therefore, it is very crucial to maintain an excellent quality while manufacturing PSBs. An innovation PCBs manufacturing company manufactures multilayer’s PCBs using surface-mounted technology (SMT). The major manufacturing processes in the company are solder screening, component placement, and solder reflow. Solder screening is the most critical process in PCB manufacturing which is performed to avoid any defect in the solder joint during manufacturing that may cause a circuit failure. The solder paste volume (height) transferred onto the

PCB is the most important factor that needs to be controlled carefully to maintain a low level of variation. The solder screening process transferred the solder pasted onto the solder pad of the PCB. The application method of solder paste is printing, and the printing technique used is off-contact printing in which there is a snap-off distance between a stencil and a PCB. The type of screening The machine used to manufacture products is semi-automatic. As the squeegee system consists of the front and back blades, there are two types of printing, front printing, and back printing. In current practice, both front and back printing are used alternatively during printing. During a printing process, two PCBs are placed side-by-side on the holder of a screening machine. The solder paste is then manually placed onto a stencil before printing. The front/back blade makes line contact with the stencil and close contact with the given amount of solder paste. The solder paste is then rolled in front of the front/back blade. So, solder paste is pressed against the stencil and transferred onto the solder pad through the stencil openings.

The Lean Six Sigma team found that the screening process during PCB manufacturing has a low capability and needed to be improved. Many DMAIC approaches were used to increase the screening process capability. DOE was performed to determine which of the critical-to-quality factors mostly affect the screening process capability by studying the solder past height. Five factors were tested using DOE. A full factorial experiment was carried out. There were 48 types of printing, and two PCBs were measured for

each type of printing. In total, 96 PCBs were measured, and 480 solder paste height data were collected for analysis. The experimental conditions are as follows: (1) Room temperature: 25 oC, (2) Room humidity: 58%, (3) Machine number: 12, (4) Stencil number: 25 (new), (5) Number of operators: 1, (6) Model: Neptune, (7) Snap-off distance: nearly zero, (8) Point locations: J1, U1, U1, U2, U2, and (9) Specification: (4.5-7) mil. The factors and their levels in the experiment are given in below. Please review the results and then answer the questions below:

1. Name the factors that were tested and list their levels? (10 points)

2. What are the significant factors that affect the process? (10 points)

3. Explain the main effects plot and the interaction effects plot? (15 points)

4. What can be concluded from the previous analysis? What is the optimal solder height variation that results from the best combination of variables? (20 points)

Question 4 [125 points]: In a hospital radiology department, the radiology report turnaround times have been a concern to the department. Doctors have been complaining about the long turnaround time of their ordered radiology reports for patients. The radiology department staff decided to investigate the problem and collect turnaround time data on 10 randomly selected reports every day for one month (data are shown in the table below, also available in the exam excel sheet LSSGB_Final_Exam_December_2021.xls. [Hint: You can use Minitab to validate your answers if you like, but you are expected to solve those questions using Excel]

1. Calculate the following measures of variability for wait times: standard deviation, variance, mean absolute deviation, and range. Comment on the results. Do these calculations for each day (ten observations per day) and the entire month (25 points).

2. Calculate the coefficient of variation. Comment on the results (10 points).

3. Construct an X-bar and R control chart. Is the process in statistical control? The values of control limits and center lines should be clearly seen on the figures and/or written below it (25 points).

4. If the clinicians feel that any time over 24 hours is unacceptable, what are the Cp and Cpk of this process? (15 points)

5. What are the next steps for the laboratory manager? (10 points)

6. The performance improvement specialist on your team suggests several process changes that result in reducing the turnaround time by 6 hours for each report. Reconstruct the X-bar and R charts and comment on the results (25 points).

7. Based on your answers in Parts 3 and 6, plot the control charts for the ‘before’ and ‘after’ situation on the same chart (using Excel) (15 points).

Observations (Turnaround time in hours)

Day

1

2

3

4

5

6

7

8

9

10

1

11

12

21

18

35

16

18

22

11

23

2

13

19

20

18

16

6

21

5

15

5

3

8

1

16

8

16

23

12

5

7

22

4

7

9

19

9

11

10

21

17

19

6

5

1

14

9

18

18

22

20

8

11

16

6

13

4

17

5

6

22

17

5

18

26

7

15

15

9

6

21

23

16

7

3

9

8

17

3

5

13

23

3

11

22

15

5

9

5

2

12

17

8

14

21

21

20

19

10

17

19

7

8

22

17

7

14

14

21

11

20

20

18

23

15

11

23

8

15

33

12

10

6

23

22

3

6

17

19

12

9

13

1

23

24

7

8

3

20

11

22

1

14

12

25

23

13

16

8

21

13

12

4

15

7

17

4

13

2

17

4

4

15

6

16

4

14

20

5

1

10

21

14

21

13

17

3

11

13

14

6

11

15

23

23

20

18

20

1

13

11

10

19

19

21

21

16

19

19

3

5

12

22

9

15

2

22

7

20

13

11

5

17

21

20

18

11

17

8

21

14

23

8

12

18

8

19

9

30

6

22

12

22

11

17

20

3

2

1

23

3

23

</

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