Six Sigma Advanced Define and Measure Phas Answer
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Six Sigma Advanced Define and Measure Phases Answer
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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
- True
- False
4.
Question 4
Work instructions are mostly useful in most types
of organizations, not just manufacturing.
1 point
- True
- False
5.
Question 5
Work instructions are often written,
but they may be supplemented, or in some cases replaced by other methods
1 point
- True
- False
6.
Question 6
CEDAC is a modified Cause and Effect diagram.
1 point
- True
- False
7.
Question 7
A Cause and Effect Diagram will lead
the team to the positive identification of root cause.
1 point
- True
- False
8.
Question 8
CEDAC information should be protected and kept
confidential.
1 point
- True
- False
9.
Question 9
A Pareto chart uses only discrete data.
1 point
- True
- False
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
- True
- False
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
1.2
4/5
80%
1
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
0.05
0.95
0.10
1
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
True
False
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
True
False
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
0.5
0.1
0.3
1.0
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
the drill press? Please round your answer to the nearest hundredth.
1 point
0.60
0.43
0.90
0.70
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?
Please round your answer to the nearest hundredth.
1 point
0.50
0.80
0.64
0.63
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
16
24
1
12
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
15
45
2730
455
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
True
False
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
4
0.16
0.8
0.4
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
0.364
0.516
0.700
0.484
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
0.64
0.36
0.6
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
2.5
0.21
0.05
0.29
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
0
0.365
0.634
0.5
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
0.309
0.302
0.006
0.698
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
F
Regression
Normal
T
12.
Question 12
Which distribution is not affected by degrees of
freedom?
1 point
Chi-square
F
Normal
T
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
4.5
6.3
7.7
2.5
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
5.2
5.4
6
3.8
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
28.5
14
11
38
8.
Question 8
Calculate
IQR when Q1 = 10, Q2 = 20, and Q3 = 25
1 point
5
25
10
15
9.
Question 9
A Stem-and-Leaf plot will
help you indicate the mode of the dataset
1 point
True
False
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 project lead
The green belt
The inspector
The production supervisor
5.
Question 5
For the last 10 samples plotted,
your control chart is showing a steady decrease in your plots from within 1
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
25.70
0
21.18
42.20
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
