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About this Course
This course is for you if you are looking to dive deeper into Six Sigma or strengthen and expand your knowledge of the basic components of the green belt level of Six Sigma and Lean. Six Sigma skills are widely sought by employers both nationally and internationally. These skills have been proven to help improve business processes and performance. This course will take you deeper into the principles and tools associated with the “Analyze” phase of the DMAIC structure of Six Sigma.
It is highly recommended that you complete the “Yellow Belt Specialization” and the courses “Six Sigma and the Organization (Advanced)” and “Six Sigma Advanced Define and Measure Phase” before beginning this course. In this course, your instructors will introduce you to and have you apply, some of the tools and metrics that are critical components of Six Sigma. This course will provide you with the advanced knowledge of hypothesis testing and the design of experiments as they are associated with Six Sigma and Lean. Every module will include readings, videos, and quizzes to help make sure you understand the material and concepts that are studied. Registration includes online access to course content, projects, and resources but does not include the companion text The Certified Six Sigma Green Belt Handbook (2nd edition). The companion text is NOT required to complete the assignments. However, the text is a recognized handbook used by professionals in the field. Also, it is a highly-recommended text for those wishing to move forward in Six Sigma and eventually gain certification from professional agencies such as the American Society for Quality (ASQ).
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Six Sigma Advanced Analyze Phase e Coursera Quiz Answers
Hypothesis Testing Graded Quiz
If you want to test the claim that the MTBF of a particular piece of equipment has increased from 1230 operating hours, what would your null hypothesis be?
- H0: µ ≤ 1230
- H0: µ > 1230
- H0: µ ≥ 1230
- H0: µ = 1230
If your hypothesis test is: H0: µ ≤ 23.6, H1: µ > 23.6, what type of test will you need to do?
While performing a hypothesis test, you calculate a p-value of 0.05. If the desired level of significance α = 0.01 then the conclusion is:
- Reject the null hypothesis because there is no statistical difference.
- Reject the null hypothesis because there is a statistical difference.
- Do not reject the null hypothesis because there is no statistical difference.
- Do not reject the null hypothesis because there is a statistical difference.
Suppose we have the following hypothesis Z-test: A vendor claims their parts are shipped with a measurement of 1.86 cm. Assume σ = 0.03, n=64, critical values are ±1.96, and we calculate Z=3.6. What would we conclude?
- Conclude that 3.6 is outside the critical region, do not reject H0 and state the vendor’s claim is valid.
- Conclude that 3.6 is outside the critical region, reject H0 and state the vendor’s claim is invalid.
- Conclude that 3.6 is outside the critical region, do not reject H0 and state the vendor’s claim is invalid.
- Conclude that 3.6 is outside the critical region, reject H0 and state the vendor’s claim is valid.
For continuous data, small sample size, calculate the 95% confidence interval for the population mean. Given: Sample size = 16, average of the samples = 12, df=n-1, and the sample standard deviation is 4.
- 4.869 ≤ µ ≤ 7.131
- 9.869 ≤ µ ≤ 14.131
- 1.869 ≤ µ ≤ 5.131
- 14.869 ≤ µ ≤ 17.131
Design of Experiments- pt 1 Graded Quiz
Which of the following was the origin of Design of Experiments related to?
- Military operations in the 1910s
- Agriculture in the 1920s
- Education in the 2010s
- Computer science in the 1970s
Machine (A,B, or C) and fan speed (high or low) seem to have an impact on the painting process. Setting Machine B to fan speed low is an example of what?
- Experimental error
- A block
- A level
- A treatment
Machine (A,B, or C) and fan speed (high or low) seem to have an impact on the painting process. What is an example of a factor for the study?
- Paint quality
- Speed of paint process
- Fan speed
Suppose you want to study the impact of car age and average speed driven on the tread life of a new brand of tires. What is the outcome you are studying?
- Car age
- Tread life
- Tire brand
- Average speed driven
Suppose you want to study the impact of car age and average speed driven on the tread life of a new brand of tires. What is an example of a factor level you might study?
- Car less than 1 year old
- Tread life greater than 10,000 miles
- Interaction effects
- Car age and average speed
What is the term for when the effect of one input factor on the output depends on the level of another input factor?
- Main effects
- Experimental error
If we are studying the impact of employee shift length on employee errors made in order-picking, what would the dependent variable be?
- Number of shifts that employees work
- Errors made in order-picking
- Employee shift length
- Number of employees who quit
Which of the following is NOT a tool for reducing the noise in DOE?
Which of the following in DOE is most closely related to the concept of sample size in hypothesis testing?
Which of the following is a benefit of randomization when compared to repetition?
- Randomization takes more time
- Randomization requires resetting the equipment between tests
- Randomization is less complicatedRandomization allows for the variation due to machine setup to be captured
What is the term for designing and organizing the experiment in a way to lessen the effects of special cause variation by grouping the experiments in batches of tests or runs?
- Taguchi method
- Latin Squares
Put the following 4 steps in the correct order for performing a Design of Experiments:
i. Brainstorm key factors causing variation in the process
ii. Set the appropriate levels for each factor
iii. Define the objective of the experiment
iv. Update the operations sheet to show the new parameters of operation
Design of Experiments- pt 2 Graded Quiz
According to the chart above, what is the value for the high level (+) of the factor for hours of sleep?
According to the chart above, what is the main effect of factor A?
According to the chart above, what would the sign for the interaction (sleep studying) term be for run 1?
- Positive (+)
- Negative (-)
- None of the above
According to the chart above, what is the interaction effect for AXB?
Which of the following statements about confounding is true?
- Variables are confounded if they are difficult to study
- Variables are confounded if they are exponentially related
- Variables are confounded if the produce the same response
- Variables are confounded if their effects cannot be separated in the study performed
Which of the following is NOT an assumption for ANOVA?
- All samples must be randomly selected
- The data is approximately normally distributed
- The variance must be the same for all treatments.
- The means must be the same for all treatments
What is the appropriate ratio for testing ANOVA for one factor?
- MS treatments divided by MS residual (error)
- MS residual (error) divided by MS treatments)
- SS treatments divided by SS residual (error)
- SS residual (error) divided by SS treatment)
Which test would be most appropriate for testing for differences between 4 population means?
- Confidence intervals
In a full factorial experiment with 5 factors at 2 levels each, how many trials are required?
Which of the following is a good reason for using a fractional factorial experiment rather than full factorial?
- You have a large budget for the experiment
- You are studying a small number of factors
- Expert opinion is that only the main factors are of concern in this process
- Blocking is needed due to the large amount of noise
If we have 4 levels of 3 factors, with 2 replicates of each combination, how many tests would we have?
Where does DOE tend to fall in the Six-sigma cycle?
When selecting the input variables for DOE, which of the following is NOT a good idea?
- Take the budget into account when choosing the number of factors and replicates
- Set no more than 3 levels of each factor
- Work with subject matter experts to determine which factors should be included
- Use an iterative approach and first screen for the most important factors
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