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**Six Sigma Advanced Analyze Phase Answer**

**Week- 1**

Hypothesis Testing Graded Quiz

1.

Question 1

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?

1 point

**H0: µ ≤ 1230**- H0: µ > 1230
- H0: µ ≥ 1230
- H0: µ = 1230

2.

Question 2

If

your hypothesis test is: H0: µ ≤ 23.6, H1: µ > 23.6, what

type of test will you need to do?

1 point

- Left-tailed
- Cyclical
**Right-tailed**- Two-tailed

3.

Question 3

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:

1 point

- 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.

4.

Question 4

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?

1 point

**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.

5.

Question 5

For a 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.

1 point

- 4.869 ≤ µ ≤ 7.131
**9.869 ≤ µ ≤ 14.131**- 1.869 ≤ µ ≤ 5.131
- 14.869 ≤ µ ≤ 17.131

**Week- 2**

Design of Experiments- pt 1 Graded Quiz

1.

Question 1

Which of the following was the origin of Design

of Experiments related to?

1 point

- Military operations in the 1910s
**Agriculture in the 1920s**- Education in the 2010s
- Computer science in the 1970s

2.

Question 2

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?

1 point

- Experimental error
- A block
- A level
**A treatment**

3.

Question 3

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?

1 point

- Paint quality
- Speed of paint process
**Fan speed**- Blocking

4.

Question 4

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?

1 point

- Car age
**Tread life**- Tire brand
- Average speed driven

5.

Question 5

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?

1 point

- Car less than 1 year old
- Tread life greater than 10,000 miles
- Interaction effects
**Car age and average speed**

6.

Question 6

What is the term for when the effect of one

input factor on the output depends on the level of another input factor?

1 point

- Main effects
**Interactions**- Experimental error
- Factors

7.

Question 7

If we are studying the impact of employee shift

length on employee errors made in order-picking, what would the dependent

variable be?

1 point

- Number of shifts that employees work
**Errors made in order-picking**- Employee shift length
- Number of employees who quit

8.

Question 8

Which of the following is NOT a tool for

reducing the noise in DOE?

1 point

- Replication
- Randomization
- Blocking
**Treatments**

9.

Question 9

Which of the following in DOE is most closely

related to the concept of sample size in hypothesis testing?

1 point

- Factors
**Replications**- Blocks
- Tests

10.

Question 10

Which of the following is a benefit of

randomization when compared to repetition?

1 point

- Randomization takes more time
- Randomization requires resetting the equipment between tests
- Randomization is less complicated
**Randomization allows for the variation due to machine setup to be captured**

11.

Question 11

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?

1 point

- Confounding
**Blocking**- Taguchi method
- Latin Squares

12.

Question 12

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

1 point

- iii,ii,i,iv
- i,ii,iii,iv
**iii,i,ii,iv**- iv,iii,i,ii

**Week- 3**

Design of Experiments- pt 2 Graded Quiz

1.

Question 1

According to the chart above, what is the value for the high level (+) of the

factor for hours of sleep?

1 point

**92.5**- 79.75
- 81.4
- 97

2.

Question 2

According to the chart above, what is the main effect of

factor A?

1 point

**22.25**- 70.25
- 81.4
- 92.5

3.

Question 3

According to the chart above, what would the sign for the

interaction (sleepXstudying) term be for run 1?

1 point

- Positive (+)
**Negative (-)**- 0
- None of the above

4.

Question 4

According to the chart above, what is the interaction effect for AXB?

1 point

- 83.0
- 79.75
- 22.25
**3.25**

5.

Question 5

Which of the following statements about

confounding is true?

1 point

- 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**

6.

Question 6

Which of the following is NOT an assumption for

ANOVA?

1 point

- 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**

7.

Question 7

What is the appropriate ratio for testing ANOVA

for one factor?

1 point

**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)

8.

Question 8

Which

test would be most appropriate for testing for differences between 4

population means?

1 point

- Confidence intervals
- Z-test
- T-test
**ANOVA**

9.

Question 9

In a full factorial experiment with 5 factors at

2 levels each, how many trials are required?

1 point

- 25
- 10
**32**- 20

10.

Question 10

Which of the following is a good reason for

using a fractional factorial experiment rather than full factorial?

1 point

- 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

11.

Question 11

If we have 4 levels of 3 factors, with 2

replicates of each combination, how many tests would we have?

1 point

- 24
- 162
- 64
**128**

12.

Question 12

Where does DOE tend to fall in the Six-sigma

cycle?

1 point

- Design
**Analyze**- Control
- Measure

13.

Question 13

When selecting the input variables for DOE,

which of the following is NOT a good idea?

1 point

- 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

**Conclusion**

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