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`Six Sigma Advanced Define and Measure Phas Answer`

#### Week- 2

`Process Analysis and Documentation Graded Quiz`

1.
Question 1
Mapping a process means involving those with the
most knowledge of how it works. This
would be:

1 point

• process designers
• customers
• workers who use the process
• managers and supervisors

2.
Question 2
The numbering system for procedures is important
for what reason?

1 point

• Compliance
• Productivity
• Quality
• Reference

3.
Question 3
Every task must have work instructions.

1 point

4.
Question 4
Work instructions are mostly useful in most types
of organizations, not just manufacturing.

1 point

5.
Question 5
Work instructions are often written,
but they may be supplemented, or in some cases replaced by other methods

1 point

6.
Question 6
CEDAC is a modified Cause and Effect diagram.

1 point

7.
Question 7
A Cause and Effect Diagram will lead
the team to the positive identification of root cause.

1 point

8.
Question 8
CEDAC information should be protected and kept
confidential.

1 point

9.
Question 9
A Pareto chart uses only discrete data.

1 point

10.
Question 10
A prioritization matrix provides a quantitative
method for making a decision, so you don’t have to rely on the judgment of the
team.

1 point

#### Week- 3

`Probability and Statistics – pt1 Graded Quiz`

1.
Question 1
What is the term for a collection of outcomes
from a probability experiment?

1 point

• Sample space
• Disjoint
• Event
• Probability

2.
Question 2
Which of the following could NOT be a
probability?

1 point

3.
Question 3
Suppose the probability of having no defects in
the next lot that you sample is 0.05.
What is the probability that there WILL be at least one defect in the
next lot you sample?

1 point

4.
Question 4
True or false: The following two events are disjoint/mutually
exclusive?

Sitting directly to the left of someone on
the airplane: whose first name starts with an A; someone whose first name
starts with a vowel.

1 point

5.
Question 5
What is the term for two events that cannot
occur simultaneously?

1 point

• Independent
• Intertwined
• Disjoint
• Passive

6.
Question 6
True or false: The following two events are
independent?

Sitting directly to the left of someone on
the airplane: whose first name starts with an A; someone whose first name starts
with a vowel.

1 point

7.
Question 7
Which formula below is appropriate to use for
the addition rule if the two events are not disjoint?

1 point

• P(B|A) = P(A&B) / P(A)
• P(A or B) = P(A) + P(B)
• P(A or B) = P(A) + P(B) – P(A&B)
• P(A and B) = P(A) X P(B|A)

8.
Question 8
The probability that the cafeteria is serving
pasta for the hot lunch today is 0.2, pizza is 0.3, chicken is 0.1, and soup is
0.4. You like pasta and chicken. What is the probability that you will like
lunch today?

1 point

9.
Question 9
In your manufacturing plant, 50% of the
employees are able to operate the drill press, 70% are able to operate the CNC,
and 30% can operate both. What is the
probability that an employee can operate the CNC, given that they can operate

10.
Question 10
Consider a batch of raw materials, containing 5
defective and 20 good items. Suppose that two of the items are quality tested
without replacement. What is the probability that both items tested are good?

1 point

#### Week- 4

`Probability and Statistics – pt2 Graded Quiz`

1.
Question 1
How many ways can the letters of the word “Word”
be arranged?

1 point

2.
Question 2
If you are going to the grocery store to pick up
3 pints of ice cream for your family and there are 15 choices, how many
different groups of 3 pints can you choose?
(Assume that you will choose 3 different types without duplication)

1 point

3.
Question 3
When is the variance of the sampling
distribution of means equal to the variance of the population from which the
samples were drawn divided by the size of the samples?

1 point

• Only when the original distribution is binomial
• Always
• Only when our original distribution is normally distributed or our sample size is large enough
• This only happens by chance.

4.
Question 4
Which of the following is NOT part of the
Central Limit Theorem?

1 point

• The mean of the sampling distribution of means is equal to the mean of the population from which the samples were drawn .
• The variance of the sampling distribution of means is equal to the variance of the population from which the samples were drawn divided by the size of the samples.
• If the original distribution is normally distributed the sampling distribution of the means will also be normal.
• All of the above are part of the CLT

5.
Question 5
True or false, the central limit theorem tells
us that a sample mean is a fair, also called unbiased, estimate of the
population mean.

1 point

6.
Question 6
If the population standard deviation is 4 and you have a sample of size 25, what is the standard error?

1 point

7.
Question 7
Suppose finish times of employment applications for a temp agency follow a triangular distribution with known standard deviation of 1.5 minutes. You take a sample of size 36 and obtained a mean finish time of 8.2 minutes. What is a 95% confidence interval for the mean finish time?

1 point

• 0.25
• (7.71,8.69)
• (6.7,9.7)
• This problem cannot be solved because the original distribution is triangular rather than normal

8.
Question 8
You have received a lot of 100 items from your
supplies and are going to randomly select 5 of them for quality testing to
determine if you will accept the lot. If you find more than 1 defect, you will
reject the lot. What is the *sample* in
that situation?

1 point

• Everything the supplier has ever produced
• The lot of 100 items
• The 1 defect
• The 5 items selected for testing

9.
Question 9
Suppose some election polling is done to predict
the outcome of the presidential election in the state of Georgia. 1000 likely voters are polled. What is the population in that situation?

1 point

• The percentage of the voters polled who will vote Republican
• All likely voters in Georgia
• All US voters
• The 1000 likely voters polled

10.
Question 10
In a statistical experiment, what does s represent?

1 point

• The population mean
• The sample standard deviation
• The sample mean
• The population standard deviation

11.
Question 11
A value, such as the mean, calculated from
population data is called a:

1 point

• Statistic
• Permutation
• Parameter
• Anomaly

12.
Question 12
When performing an analytical study, which of
the following would seldom be known?

1 point

• The sample standard deviation
• The degrees of freedom
• The sample statistic
• The true population parameter

#### Week- 5

`Statistical Distributions Graded Quiz`

1.
Question 1
1.
Which of the images below is left-skewed?

1 point

2.
Question 2
Which of the following is NOT a requirement to
model with the binomial distribution?

1 point

• Exactly two possible states for the random variable
• A constant probability of success between trials
• A predetermined number of trials
• A continuous random variable

3.
Question 3
A recent survey found that 7% of your suppliers
are not pleased with the terms of your contracts. If you randomly meet with 10 of your
suppliers, what is the probability that at least one of them is one that is not
pleased with the terms of the contracts?

1 point

4.
Question 4
Which of the following could be modeled with the
Poisson distribution?

1 point

• The number of times you flip a fair coin before getting 3 heads
• The probability of exactly 1 defect in 200 square meters of fabric
• The probability of exactly 1 defect in the next 200 items you sample.
• The probability of getting exactly 12 odd numbers when rolling a fair die 20 times.

5.
Question 5
The average number of flaws in bolts of fabric
that you are producing is 0.36. The
standard deviation of this Poisson distribution is…

1 point

Unable to be determined from the information given

6.
Question 6
Suppose that defects occur at a rate of 0.05 per
linear meter in tile trim manufacturing.
What is the probability that there are no more than 1 defects in the next
50 linear meters?

1 point

7.
Question 7
The tread life of a particular brand of tire is
a random variable best described by a normal distribution with mean of 65,000
miles and a standard deviation of 2900 miles.
What is the probability that a randomly selected tire will last less
than 64,000 miles?

1 point

8.
Question 8
Suppose
the length of time it takes students to complete an exam question follows a
normal distribution with a mean of 5.0 minutes and a standard deviation of 1.0
minute. Find the probability that a
randomly selected student will take between 2.5 and 4.5 minutes to complete the
question.

1 point

9.
Question 9
Which of the following is a practical use of the
Chi-square distribution?

1 point

• Hypothesis tests for two population variances
• Hypothesis tests for one population variance
• Hypothesis tests for one mean when the population standard deviation is unknown
• Hypothesis tests for one population proportion

10.
Question 10
Which of the following is an application of the
t-distribution?

1 point

• Hypothesis tests for multiple proportions
• Hypothesis tests for one population variance
• Hypothesis tests for two population variances
• Hypothesis tests for one mean when the population standard deviation is unknown

11.
Question 11
Which of the following distributions has their
axis starting at 0?

1 point

12.
Question 12
Which distribution is not affected by degrees of
freedom?

1 point

#### Week- 6

`Collecting and Summarizing Data Graded Quiz`

1.
Question 1
Given the following dataset. Indicate the median.

2.5, 5.1,
4.4, 6.3, 3.1, 8.5, 4.5, 7.7, 2.5

1 point

2.
Question 2
Given the following dataset.
Indicate the range.

2.5, 5.1, 4.4, 6.3, 3.1, 8.5, 4.5, 7.7, 2.5

1 point

3.
Question 3
Why would you want to randomize
your selection of sample data elements?

1 point

• To achieve the results you are looking for
• To avoid bias that could affect the study’s outcome
• No reason to randomize, just pick who you want in your study
• To achieve a high variance

4.
Question 4
Ways to
graphically display your data is included below, which method does NOT belong?

1 point

• Stem-and-Leaf plots
• Run Charts and Boxplots
• Scatter diagrams
• Random Number Table

5.
Question 5
Which of
the following graphical means shows continuous data?

1 point

• A histogram
• A tally sheet.
• A run chart
• A boxplot

6.
Question 6
A
scatter diagram is used to plot gas mileage versus the weight of a car. What would you expect to see if you placed a
line through the data points?

1 point

• No correlation at all, the data points are randomly spaced out.
• A decreasing slope.
• An odd U shape.
• An increasing slope.

7.
Question 7
Calculate Q1
from this dataset: 45, 13, 15, 34, 23,
38, 11

1 point

8.
Question 8
Calculate
IQR when Q1 = 10, Q2 = 20, and Q3 = 25

1 point

9.
Question 9
A Stem-and-Leaf plot will

1 point

10.
Question 10
Which value
does not belong in the calculation of a boxplot?

1 point

• Range
• Q1, Q2, and Q3
• IQR, Max, and UL
• LL, Min
`Measuring System Analysis Graded Quiz`

1.
Question 1
Before you
begin your GR&R Study, the need to calibrate an instrument could be due to:

1 point

• There is really no need to calibrate an instrument.
• Factors such as humidity, temperature, or wear

2.
Question 2
Is it repeatability
or reproducibility, when one operator measures the same characteristics
of the same products using the same gage?

1 point

• Reproducibility
• Repeatability

3.
Question 3
Which statement is not a
characteristic of a Measurement System?

1 point

• Detecting any changes in the process
• Measurement systems are not considered in quality analysis
• Capture the correct data
• Detect the source of the measurement error

4.
Question 4
Which is not a source of measurement
variation?

1 point

• The measuring device itself
• The speed of the conveyor belt
• Environmental sources such as humidity and temperature.
• The operator or inspector conducting the measurements

5.
Question 5
What is your criteria to recruit a
study “appraiser”?

1 point

• No criteria needed, just randomly pick anybody
• Someone who is new to the part or process
• Someone in your engineering department
• Someone who measures parts during a normal production day.

6.
Question 6
In a measurement system, what is
Repeatability precision?

1 point

• Has nothing to do with variation
• The variation in measurement means when the same gage is used by the same operator
• The variation in measurement averages when the same gage is used by different operators
• Has nothing to do with the gage operator

7.
Question 7
The %GRR of the total variation is
24% and the %GRR of Tolerance is 17.5%, using Average and Range method what
conclusion can we draw?

1 point

• The measurement system is marginal
• The measurement system is not acceptable
• The measurement system is acceptable
• Must be separated into individual R&R values to be sure

#### Week- 7

`Process and Performance Capability Graded Quiz`

1.
Question 1
What should you
do next after you collect 20-25 sets of part samples in a Process Capability
Study?

1 point

• Next, calculate R
• Next, determine your subgroup sample size
• Next, calculate the average for each subset of samples
• Next, determine the range of the entire 60-90 data points collected

2.
Question 2
A control chart
is used to:

1 point

• Determine causes of process variation
• Detect non-random variation in processes
• Determine if defective parts are being produced
• Measure process capability

3.
Question 3
Your X-bar and R control chart has
shown in-control for a long time. You
notice that the last 50 samples plotted are all very near the centerline,
within 1 sigma. What does this indicate?

1 point

• The process standard deviation has decreased during the last 50 samples
• An undesirable situation has occurred
• The process standard deviation has increased significantly
• Stop the process

4.
Question 4
The six sigma project team is led
by a green belt. The current activity is
to develop a control plan. Who is best
prepared to develop this plan?

1 point

• The green belt
• The inspector
• The production supervisor

5.
Question 5
For the last 10 samples plotted,
sigma to the LCL. What is happening?

1 point

• Plots are fluctuating on both sides of the centerline
• A cyclical event is occurring
• A trend is occurring.
• No problem, the plots indicate in-control

6.
Question 6
When analyzing process capability,
if Cp equals Cpk, what does this indicate?

1 point

• The process is completely out-of-control and not capable
• Impossible because Cpk cannot equal Cp
• Cp cannot change if Cpk changes
• The process is perfectly centered

7.
Question 7
What is the typical corrective
action to take when a control chart shows cyclical signs?

1 point

• Check your control limits and investigate material changes
• Do nothing, everything is fine
• Eliminate over-adjustments by the operator
• Control the physical environment, service equipment, rotate operators, or sharpen tools

8.
Question 8
If X-double bar = 32 and R-bar
equals 10, what is UCLx-bar?
(A2 = 1.02, D4=2.57)

1 point

`Exploratory Data Analysis Graded Quiz`

1.
Question 1
Identify the
major variation classifications specifically addressed in multi-vari studies?

1 point

• Cylinder, batch, flat
• Piece-to-piece, batch-to-batch, within piece
• Temporal, top to bottom, side to side
• Positional, cyclical, temporal

2.
Question 2
If you are studying the relationship between the number of hours of
overtime assigned at your facility and the number of defects in your product,
what would the INDEPENDENT variable be?

1 point

• Hours of overtime assigned
• Number of defects in your product
• Both the hours of overtime assigned and the number of defects in your product
• Neither the hours of overtime assigned nor the number of defects in your product

3.
Question 3
If
a scatter diagram is created plotting vegetable garden square footage vs. crop
yield, what would you expect the shape of the resulting plot to show?

1 point

• Positive correlation
• No correlation
• Negative correlation
• Circular correlation

4.
Question 4
Which
of the following statements are true about correlation?

1 point

• r can range from -1 to 1
• The correlation coefficient can only range from 0 to +1
• The lower the correlation coefficient is, the weaker the correlation is
• A positive correlation coefficient means that as the independent variable decreases, the dependent variable increases

5.
Question 5
What
is the method used to find the equation of the regression line called?

1 point

• Perfect square method
• Least squares method
• Statistical analysis method
• Normal distribution method

6.
Question 6
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

• Negative correlation
• Positive correlation
• No correlation
• Bimodal correlation

7.
Question 7
In
the equation for basic linear regression, what does the term “b” represent?

1 point

• The slope of the line
• The x intercept
• The y intercept
• The error

8.
Question 8
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

• 14.0
• 8.0
• 4.0
• You cannot use this regression equation to answer the
question