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**Six Sigma Tools for Improve and Control Answer**

**Week- 1**

Correlation and Regression Graded Quiz

1.

Question 1

If you are studying the relationship between the

age of the manufacturing equipment at your facility and the hours of downtime

of that equipment, what would the DEPENDENT variable be?

1 point

- Neither the age of the

manufacturing equipment and the hours of downtime of the equipment **Hours of downtime of the equipment**- Both the age of the manufacturing equipment and the hours of downtime of the equipment
- Age of the manufacturing

equipment

2.

Question 2

A scatter plot in which the plotted points are

clustered approximately into a straight line from the top left to the bottom

right of the graph is displaying which of the following:

1 point

- Bimodal correlation
- Positive correlation
**Negative correlation**- No correlation

3.

Question 3

If the

pass rate of exams increases with study time, then the correlation coefficient

for the study time versus exams would be:

1 point

- Between 0 and -1
- Greater than 1
**Between 0 and +1**- Equal to 1

4.

Question 4

Which of the following statements are true about

correlation?

1 point

- A negative correlation

coefficient means that there is not a strong relationship between the variables - r can only range from 0 to 1
**The correlation coefficientÂ****can range from -1 to +1**- The lower the correlation

coefficient is, the weaker the correlation is

5.

Question 5

In the

equation for basic linear regression, what does the term â€śbâ€ť represent?

1 point

**The slope of the line**- The error
- The x intercept
- The y intercept

6.

Question 6

The least squares method is used for what?

1 point

**Determining the regression****equation**- Calculating the correlation

coefficient - Simplifying algebraic

equations - The central limit theorem

7.

Question 7

You collect sample data to calculate the

relationship between age of the manufacturing equipment at your facility and

the hours of downtime of that equipment.

Using data ranging from 0.5 years old to 20 years old for the equipment,

you obtain the regression equation for annual hours of downtime of y=10+0.5x

with a high correlation coefficient. How

many hours of downtime would you predict for equipment that is 8 years old?

(Round to the nearest 10th of a year)

1 point

- You cannot use this

regression equation to answer the question - 8.0
**14.0**- 4.0

8.

Question 8

Where is regression analysis most often used by

six sigma professionals?

1 point

- In the define phase for the

is-is not analysis **In the improve phase to****estimate gains after the projected improvement**- In the analyze phase for

statistical sampling - In the control phase for

the process behavior chart

**Week- 2**

Hypothesis Testing Graded Quiz

1.

Question 1

If you want to

test the claim that the mean length of widgets has changed from 4.3 meters,

what would your null hypothesis be?

1 point

2.

Question 2

A null hypothesis states that a process has not

changed over time. If a type II error is

made,

1 point

- One has failed to reject

the null hypothesis when it was true - One has rejected the null

hypothesis when it was true **One has failed to reject****the null hypothesis when it was false**- One has rejected the null

hypothesis when it was false

3.

Question 3

Suppose you want to test the claim that the mean

length of process time has decreased from 12.3 minutes. Your sample data leads you to fail to reject

H0. The actual mean length is 12.0

minutes. What type of error, if any,

have you made?

1 point

- Another test should be done
**A type II error has been****made**- No error has been made
- A type I error has been

made

4.

Question 4

If your hypothesis test is:

what type of test will you

need to do?

1 point

- Binomial
**Right-tailed**- Left-tailed
- Two-tailed

5.

Question 5

While performing a hypothesis test, you

calculate a p-value of 0.05. If the

desired level of significance is 0.01 then the conclusion is:

1 point

- Reject the null hypothesis

because there is a statistical difference. **Reject the null hypothesis****because there is no statistical difference.**- Fail to reject the null

hypothesis because there is no statistical difference. - Fail to reject the null

hypothesis because there is a statistical difference.

**Week- 3**

Improvement Techniques Graded Quiz

1.

Question 1

Maximizing the performance of one machine or one

department could have a negative effect on another machine or department, and

subsequently on the organization as a whole.

This is an example of:

1 point

- Over-optimization
- Productivity optimization
- Alternate optimization
**Sub-optimization**

2.

Question 2

Employee empowerment is a key element of Kaizen.

1 point

3.

Question 3

Improvements through both Kaizen and Kaizen

Blitz must be carefully managed.

1 point

4.

Question 4

Demingâ€™s version of the model is Plan, Do,

Study, Act. He changed check to study

because he wanted it to be a plan for management, and he wanted them to use

this step to compare results with predictions.

1 point

5.

Question 5

The PDCA model is complex, and you should have

an expert to lead the team.

1 point

6.

Question 6

Which of these statements best describes net

present value?

1 point

- A way to determine the value of future

investments. - A way to determine the value of future benefits.
**The sum of present values of incoming andÂ outgoing cash flows over a period of time.**- A way to compare present costs with future

costs.

7.

Question 7

Payback Period is usually

1 point

- 18 months.
- 24 months.
- 12 months.
**It depends.**

8.

Question 8

Internal rate of return usually reflects the

anticipated inflation rate.

1 point

9.

Question 9

When an organization first starts to address

quality issues, external failures are likely to go down, while both appraisal

costs and internal failures will go up.

1 point

10.

Question 10

Generally the cost of quality will be lowest

with a strong focus on:

1 point

- Appraisal
- External Failures
**Prevention**- Internal failures

**Week- 4**

Control Tools and Documentation Graded Quiz

1.

Question 1

An example of special cause

variation would not include:

1 point

**Lack of supervision skills**- No training
- No preventive maintenance
- No documentation

2.

Question 2

Control charts for averages

behave like what distribution?

1 point

- Euler Phi
**Normal**- Weibull
- Poisson

3.

Question 3

In order to have a rational

sample, we seek to have all of the following except:

1 point

- Desired differences within samples minimized
- Desired differences between samples minimized
**Sub group size**- Desired differences between samples maximized

4.

Question 4

If we want to detect a large

shift, we need a smaller sample size

1 point

5.

Question 5

Control is the process employed to meet customer

expectations

1 point

6.

Question 6

A pitfall of document control would not

include:

1 point

- High Distribution
- Lack of stakeholder

involvement - Old Revisions in use
**Use of electronic media**

7.

Question 7

One of focus areas in the P-D-C-A process is:

1 point

- How do we control it
- How do we do it
- How do we plan it
**What are our goals**

8.

Question 8

Control charting is only for monitoring

1 point

9.

Question 9

Document management includes all processes

except:

1 point

- Creation
- Deletion
- Distribution
**All of the above**

10.

Question 10

After

you assign causes and eliminate problems, you need to remove the _____________.

1 point

- centerline
**out of control points**- upper and lower limits
- points on the centerline

**Week- 5**

Peer-graded Assignment: Yellow Belt Capstone Project

**Conclusion**

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