Six Sigma Advanced Analyze Phase Coursera Answer

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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

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

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

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

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

 

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

 

 

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