Download 0 out of 2 points


Question 1
2 out of 2 points
The table attached illustrates 100 observations of fuel consumption in miles per gallon for a fleet of 100
cars. The average is:
Selected Answer:
19.718
Correct Answer:
19.718

Question 2
2 out of 2 points
Below are the total number of points scored by Chicago Bulls players during the
1997-98 playoff and championship series. What percentage of the 12 player
playoff roster is responsible for approximately 50% of the points scored?
Selected Answer:
2 players = 16.6%
Correct Answer:
2 players = 16.6%

Question 3
0 out of 2 points
What is the attached graph?
Selected Answer:
Control Limits graphs
Correct Answer:
Evaluation Method
Correct Answer
X bar and R Chart
Exact Match

Case Sensitivity
Question 4
2 out of 2 points
Referring to the graph of Question 2, what is UCL for X bar?
Selected Answer:
602.4
Correct Answer:
Evaluation Method
Exact Match
Correct Answer
602.4
Case Sensitivity
Response Feedback: 602.4

Question 5
2 out of 2 points
From the graph below you conclude that the process is unstable because:
Selected Answer:
Showing signs of going out of control limits at 2 points
Correct Answer:
Evaluation Method
Correct Answer
two of the points fall outside
the control limits two of the
points fall outside the control
limits
Exact Match
Response Feedback:

Case Sensitivity
two of the points fall outside the control limits
Question 6
0 out of 2 points
Considering the chart below, what does point 7 indicate?
Selected Answer:
7 is in control limits for C
Correct Answer:
Evaluation Method
Exact Match
Correct Answer
it means that point has failed
test seven because Fifteen
Case Sensitivity
points are in a row within 1
sigma of center line (either
side).

Question 7
2 out of 2 points
The occurrence of a pattern, in a control chart, suggests a ........... ............. for the variation
that should be investigated.
Selected Answer:
Special Cause
Correct Answer:
Evaluation Method
Correct Answer
special cause
Exact Match
Response Feedback:

Case Sensitivity
special cause
Question 8
0 out of 2 points
Some Control Charts For Variables Are: Moving Range, EWMA, X bar and
S, and............
Selected Answer:
P Chart
Correct Answer:
Moving Average Chart

Question 9
2 out of 2 points
The data shown below are the times in minutes that successive customers had to
wait for service at an oil change facility. Find the mean and standard deviation.
Selected Answer:
Mean=9.989 ST Dev.= 0.0918
Correct Answer:
Evaluation Method
Exact Match
Response Feedback:
Correct Answer
Case Sensitivity
Mean = 9.9850; Standard
Deviation = 0.0918
Mean = 9.9850; Standard Deviation = 0.0918

Question 10
2 out of 2 points
If the probability that any individual will react positively to a drug is 0.8, what is the
probability that 4 individuals will react positively from a sample of 10 individuals?
Selected Answer:
0.005505
Correct Answer:
0.005505

Question 11
2 out of 2 points
Consider the formula below. Suppose the average number of customers arriving at
ATM during the lunch hour is 12 customers per hour. The probability of exactly
two arrivals during the lunch hour is:
Selected Answer:
0.0004 or 0.004%
Correct Answer:
Evaluation Method
Correct Answer
0.00044
Exact Match
Response Feedback:

Case Sensitivity
0.00044
Question 12
2 out of 2 points
Suppose the distribution of the customer demand is NORMAL with a mean of
750 and standard deviation of 100. The probability that demand will exceed
900 is:
Selected Answer:
0.0668
Correct Answer:
0.0668

Question 13
0 out of 2 points
Below is a scatter plot of days absent versus age:
There appears to be a ......... relationship between days absent and age.
Selected Answer:
curvilinear
Correct Answer:
Evaluation Method
Case Sensitivity
a negative
Exact Match

Correct Answer
Question 14
2 out of 2 points
Once the speculated causes of a given effect are schematically laid out on a
cause-and-effect diagram (Ishikawa), the next step is to collect data so as to
confirm or refute speculated causes. So, the cause-and-effect diagram can be
thought of a tool to help develop ............ which is then followed up with data
collection and ........... testing.
Selected Answer:
Hypothesis; Hypothesis
Correct Answer:
Hypothesis; Hypothesis

Question 15
2 out of 2 points
You must make a decision regarding the procurement of hydralic pumps. The
graphs below are based on a production run of 50 sequential observations from
each supplier (A & B). With which supplier(A or B)you will sign a contract?
Selected
Answer:
well A out of the 50 sequential observations has the least overall variations but since oberservations are in
order it reveals B is becoming more stable with time/progression of observations, so I would pick B, (A looks to
be trending up, making me think ithe hydralic pumps will wear out quicker
Correct
Answer:
Evaluation Method
Correct Answer
Supplier B because its process
is stable around the target
value
Exact Match
Response Feedback:

Case Sensitivity
Supplier B because its process is stable around the target value
Question 16
2 out of 2 points
The geometric distribution describes the number of trials until a "SUCCESS" is encountered. If the
probability that an inspected item is defective is 0.02, what is the probability of having to look at 15 items
before encountering a defective one?
Selected Answer:
0.01510
Correct Answer:
0.01510

Question 17
0 out of 2 points
A parmaceutical company tests 700 medication bottles for their resistance to tampering.
Eleven bottles were found to be prone to tampering. Using a 99 percent confidence
interval for the population proportion of the bottles that are prone to tampering, a 99
percent interval is:
Selected Answer:
0.0036 to 0.0576
Correct Answer:
0.0036 to 0.0278

Question 18
0 out of 2 points
A review of an emergency ambulance driver's records indicates that the time taken for
emergency call can be represented by a normal distribution curve with a mean of 50
minutes and standard deviation of 10 minutes. What proportion of the service calls takes
more than 30 minutes?
Selected Answer:
1.50000
Correct Answer:
0.9772

Question 19
2 out of 2 points
A review of an emergency ambulance driver's records indicate that the time
taken for emergency call can be represented by a normal distribution curve
with a mean of 50 minutes and standard deviation of 10 minutes. What
proportion of the service calls takes less than 30 minutes?
Selected Answer:
0.0228
Correct Answer:
0.0228

Question 20
0 out of 4 points
Considering the ANOVA printout below, calculate F Value
Selected Answer:
1.529
Correct Answer:
Evaluation Method
Exact Match

Correct Answer
Case Sensitivity
F = 181.3
Question 21
0 out of 4 points
The regression printout below indicates the global temperature in 2000. Predict
that in 100 years, will the temperature increase or decrease?
Selected Answer:
it looks to me that that temperature will decrease
Correct Answer:
Evaluation Method
Correct Answer
increase
Exact Match

Case Sensitivity
Question 22
0 out of 4 points
Calculate the Chi Square in the table below:
Selected Answer:
3.76
Correct Answer:
Evaluation Method
Case Sensitivity
3.739
Exact Match

Correct Answer
Question 23
2 out of 2 points
Considering the print out below, write a prediction equation.
Selected Answer:
y = 4.7693 + 0.014784 x
Correct Answer:
y = 4.7693 + 0.014784 x

Question 24
0 out of 2 points
Considering the print out below, if X changes from 100 to 1000, Y will change
from ................. to................................
Selected Answer:
0.014784 - 14.784
Correct Answer:
6.2477 - 19.5533

Question 25
0 out of 2 points
Suppose you fit the model E(y) = b0 + b1x1 + b2x2 + b3x3 + b4x4) to a set of n = 15 data
points and found R2 (R square) = .74, SST (Total) = 1.690, and SSE = 0.439. Calculate the
Variance (S square) and F statistics for testing this model.
Selected Answer:
Variance = 0.115; F = 3.456
Correct Answer:
Variance = .0439; F = 7.115

Question 26
2 out of 2 points
Considering the measurements in Table below, calculate the UCL for Means
(X bar):
Selected Answer:
35.25
Correct Answer:
35.25

Question 27
2 out of 2 points
Considering the measurements in Table below, calculate the UCL for Range:
Selected Answer:
16.43
Correct Answer:
16.43

Question 28
2 out of 2 points
.......... index uses both the average and standard deviation of the process to determine if the process
is capable of meeting the specification.
Selected Answer:
process capability
Correct Answer:
Evaluation Method
Exact Match
Correct Answer
CPK
Case Sensitivity

Question 29
2 out of 2 points
Forty-five measurements have been made on the length of a part. The
specification is bilateral with a requirement of 4.500 ± 0.010. The average (X
bar) = 4.505, and the standard deviation S = 0. 0011. Calculate the CPK:
Selected Answer:
1.52
Correct Answer:
1.52
Response Feedback:

Question 30
2 out of 2 points
The average and standard deviation for 130 measurements are: Average
= 6800, Standard Deviation = 125, and LSL =7500. What is the Cpk? Is the
process capable?
Selected Answer:
-1.87; process incapable
Correct Answer:
-1.87; process incapable

Question 31
2 out of 2 points
A process with CPK value of 1.00 is considered to be CAPABLE. Based on a
table presented to you (process capability PowerPoint), the CPK = 1.00, the
DEFECTIVE rate = 1/741. Which of the following statements is correct?:
Selected Answer:
This process tolerates 1350 defective parts per million
Correct Answer:
This process tolerates 1350 defective parts per million

Question 32
0 out of 2 points
The Standard Deviation (σ) for the data in table below is:
Selected Answer:
3.588
Correct Answer:
Evaluation Method
Case Sensitivity
1.75
Exact Match

Correct Answer
Question 33
2 out of 2 points
Type I error occurs when based on your data you reject the ............. hypothesis
when in fact it is true. The probability of a type I error is the level of significance of
the test of hypothesis, and is denoted by ............
Selected
Answer:
null α, "The significance level α is the probability of making the wrong decision when the null
hypothesis is true"
Correct Answer:
Evaluation Method
Case Sensitivity
null; Alpha
Exact Match

Correct Answer
Question 34
2 out of 2 points
A type II error occurs when you do not reject the null hypothesis when it is in
fact it is false. The probability of a type-II error is denoted by ......
Selected Answer:
Beta
Correct Answer:
Beta

Question 35
2 out of 2 points
In the table below, the number 4.021 is represented by stem of ..............and leaf
of .................
Selected Answer:
stem 402 and leaf 1.
Correct Answer:
stem 402 and leaf 1.

Question 36
2 out of 2 points
Find the Chi Square Statistics for the table below:
Selected Answer:
3.489
Correct Answer:
3.489

Question 37
4 out of 4 points
Referring to Chi-Square Table Below, the chi-square (critical value) was found from the table was found
to be 12.592. If you test a hypothesis, which one of the following statements is correct?
Selected
Answer:
Correct
Answer:

We cannot reject the null hypothesis because the Calculated Chi Square is less
than the value found from the table (critical value).
We cannot reject the null hypothesis because the Calculated Chi Square is less
than the value found from the table (critical value).
Question 38
6 out of 10 points
Discuss the Gauge and Measurement System Capability Studies
including Basic Concepts of Gauge Capability, and provide an
examples according accoring to your learning from
Chapter 8 (in approximately 100 words).
Selected
Answer:
1) "Determinie how much of the variability is the gauge"
2) "Isolate those components of variability in the measuring system"
3) "Assess the capability of the instrument or gauge"
4) "DMAIC problem sovling"
5)"Utilize repeat and reproducibility"
6) "check stability of different levels of varibility"
Minitab has a template for Gage R & R Study, i have not been able to open the GAGE1A.MTW
file but it looks to do a good job was reading about it here:
http://realleansixsigmaquality.com/cms/images/ch7svol1.pdf
Correct
Answer:
Response
Feedback:

page 368 of the 6th edition.
[None Given]
Question 39
4 out of 4 points
Calculate the Critical Chi Square of the data in Table below with Alpha = 0.05
Selected Answer:
12.592
Correct Answer:
12.592

Question 40
8 out of 10 points
What is DMAIC, and explain five STEPS of the DMAIC
process (in approximately 100 words).
Selected
Answer:
DMAIC is an effective foundation for improving processes. DMAIC Stands for:
Define,Measure, Analyze, Improve, Control.
1) Define- Define the problem,make improvements, establish goal of project, goals &
requirements
2) Measure- measure the various processes
3) Analyze- Process to determine:causes,variations and performances.
4) Improve- by making changes/adjustments to the process
5) Control- maintain a accepted level of performance/stability and future protocals
Correct Answer:
pages 46-54 of 6th edition
[None Given]
Response
Feedback:

Question 41
8 out of 10 points
Explain and discuss the Healthcare Application of Control
Charts.
Selected
Answer:
hymm well after doing some reading the healthcare system uses statistics a lot. One thing I see in
particular is They are using Run Charts
"Run charts allow us to understand objectively if the changes we make to a process or system over
time lead to improvements and do so with minimal mathematical complexity. This method of
analyzing and reporting data is of greater value to improvement projects and teams than traditional
aggregate summary statistics that ignore time order. Because of its utility and simplicity, the run chart
has wide potential application in healthcare for practitioners and decision-makers. Run charts also
provide the foundation for more sophisticated methods of analysis and learning such as Shewhart
(control) charts and planned experimentation"
Resource:
The run chart: a simple analytical tool for learning from variation in healthcare processes
by 5 BMJ Qual Saf 2011 20: 46-51 Rocco J Perla, Lloyd P Provost and Sandy K Murray
https://pediatrics.med.unc.edu/about/quality/documents/The%20run%20chart%20-
%20a%20simple%20analytical%20tool.pdf
Correct
Answer:
page 482 6th edition.
Response [None Given]
Feedback:

Question 42
10 out of 10 points
Explain the Shewhart Cycle in approximately 100 words.
Selected
Answer:
"Deming was widely credited with leading the quality revolution in Japan in the 1950's, and
worked with American businesses inthe 1980s, One of the principle components of his approach is
the change methodology that he named after another 'guru', Walter Shewhart, This approach has
four steps:
1) Plan -decide on desirable changes and evaluate existing data, and consider if new information is
required.
2) Do- make changes decided upon, perferably in small, experimental way.
3) Check- evaluate the effects of the experiment
4) Act- implement the required changes.
This represented a cycle, intended as a means of accumulating knowlege."
http://www.twi-global.com/technical-knowlege/faqs/environment-faqs/what-is-demings-shewhart-cycle/
Correct
Answer:
Response
Feedback:

page 21
[None Given]
Question 43
10 out of 10 points
List and briefly explain 7 major tools of SPC in
approximately 100 words.
Selected
Answer:
1) Check sheet- list all neccessary items and their status
2) Stratification- Group data by stratification variables (tabes, data,counts etc)
3) Scatter Diagram- explain the realtionships with scatter diagrams
4) Histogram-reveals overall picture of process
5) Pareto Chart- can reveal board causes by looking at specific components
6) Control Chart comparing lines, reveals process variation, limits in control or not
7) Cause and effect diagram- can be used to structure a brainstorming session,
Correct
Answer:
page 180 - Time series, control charts, histograms, pareto diagrams, scatter diagrams, cause and
effect charts, defect concentration diagram, and checksheets.
[None Given]
Response
Feedback:

Question 44
8 out of 10 points
Describe the Delphi Method and its advantages and drawbacks in GroupBased problem solving (in 100 words).
Selected
Answer:
“The Delphi Method begins with the development of a set of open-ended questions on a specific
issue. These questions are then distributed to various ‘experts’. The responses to these questions are
summarized and a second set of questions that seek to clarify areas of agreement and disagreement
is formulated and distributed to the same group of ‘experts’.
Advantages:
• Is conducted in writing and does not require face-to-face meetings:
• Helps keep attention directly on the issue:
• Allows a number of experts to be called upon to provide a broad range of views, on which to base
analysis—“two heads are better than one”:
• Is inexpensive.
Disadvantages:
• Information comes from a selected group of people and may not be representative;
• Tendency to eliminate extreme positions and force a middle-of-the-road consensus;
• More time-consuming than group process methods;
• Requires skill in written communication;
• Requires adequate time and participant commitment.”
Correct
Answer:
Response
Feedback:
The Delphi method requires 4 rounds and the questions posed to the group must be
quantitative in nature. This method allows for anonymity among members and also
allows the members to present their thoughts to the group. They also have the
ability to provide feedback to other thoughts. To start with the questions are posed
to the group and responses are made in writing and presented to the group monitor.
The responses are gathered and analyzed and the following information is
presented to the group: minimum response, maximum response, first quartile,
second quartile, third quartile, interquartile range, and the mode. The monitor then
asks the same questions again and the members respond in writing as before. The
member must also provide a brief explanation if their response is outside the
interquartile range. The responses are again gathered by the monitored and
compiled presenting the same set of statistics as round one to the group. The
monitor also presents any explanations of extreme views. Round three now begins.
The monitor poses the same questions again and requests a response from the
members. The difference this time is that any member providing a response inside
the interquartile range from round two must provide a brief explanation for their
response. The responses are again in writing. The monitor collects the responses,
compiles the statistics and provides them to the group members. The monitor also
presents the reasons provided by the members to the group. Round 4 begins. The
same questions are posed again and a final written response is required. These
estimates are the final determination of the group. Responses are gathered and
statistics presented to the group. This time no explanations are required. The
Delphi method is good because it allows members to adapt their estimates based on
the responses given by the other members. There is also anonymity which allows
everyone to participate without worrying about being ridiculed or pointed out in
the group. This anonymity is also a drawback and this method also does not
promote team building as some of the other group methods do. Delphi method
usage is also not an exact science and should be considered as an estimate used to
corroborate other methods.
[None Given]

Question 45
10 out of 10 points
Consider the data on compressive strength of concrete
blocks in units of 100 lb per square inch. Calculate
the mean, median, and the standard deviation. You may use Minitab to save
time in calculations.
Selected
Answer:
Correct
Answer:
Mean= 45.507
Median= 45.500
St Dev.=7.674
The mean for this set of values is 45.507, the median
is 45.500 and the standard deviation is 7.674.
Response
Feedback:

[None Given]
Question 46
6 out of 10 points
The data set given below lists the annual 1996 salary (in
$1000) and the educational background for a sample of 25
employee at a large manufacturing company. Educational
background is measured by the number of years formal
schooling (12 refers to a high school graduate; 16 refers to
a college graduate; 17 through 20 refer to college degree
plus the number of years of graduate work). Calculate the
correlation coefficient (you may construct a scatter
diagram) and explain what it means.
Selected
Answer:
Correlation: Education, Salary
Pearson correlation of education and salary = 0.898
P-Value = 0.000
pc problems are not allowing me to paste in the minitab Scatter diagram so I will email it to the
instructor and label it final exam question 46 scatter chart
Chart reveals as education goes up so does salary
Correct
Answer:
The correlation coefficient is +0.898. It indicates
that there is a strong association between education
and Salary. The positive coefficient suggests that
has education increases salary will also increase.
Response
Feedback:

[None Given]
Question 47
10 out of 10 points
Discuss the difference between Discrete and Continuous
Variables (Distributions). Provide examples.
Selected
Answer:
"
Discrete vs. Continuous Variables
If a variable can take on any value between two specified values, it is called a continuous
variable; otherwise, it is called a discrete variable.
Some examples will clarify the difference between discrete and continuous variables.

Suppose the fire department mandates that all fire fighters must weigh between 150 and 250
pounds. The weight of a fire fighter would be an example of a continuous variable; since a fire
fighter's weight could take on any value between 150 and 250 pounds.

Suppose we flip a coin and count the number of heads. The number of heads could be any integer
value between 0 and plus infinity. However, it could not be any number between 0 and plus
infinity. We could not, for example, get 2.5 heads. Therefore, the number of heads must be a
discrete variable."
resource:
http://stattrek.com/probability-distributions/discrete-continuous.aspx
Correct
Answer:
Response
Feedback:

page 73
[None Given]
Question 48
4 out of 8 points
The table below shows the results of hardness determinations on 25 samples of four titanium
buttons, the samples being drawn at regular intervals from a chemical process. Find the
following:
1. Standard Deviation
2. X bar bar
3. UCL
4. LCL
Selected Answer: Descriptive Statistics: OB1, OB2, OB3, OB4
Variable N N* Mean SE
Mean StDev Variance CoefVar Minimum
Q1 Median
Q3
OB1
25 0 122.55 4.11 20.53 421.50 16.75 25.20 124.00 126.40 129.30
OB2
25 0 127.20 0.787 3.93 15.47 3.09 122.60 123.80 127.00 129.60
OB3
25 0 127.10 0.715 3.58 12.79 2.81 122.20 124.30 127.00 128.90
OB4
25 0 127.04 0.970 4.85 23.50 3.82 121.00 123.40 126.40 128.90
UCL=134.00
LCL=117.94
Chart is emailed it will not copy
Correct Answer:
Standard Deviation = 3.126
X bar Bar = 127.0
LCL = 121.91
UCL = 132.09
Response
Feedback:

[None Given]
Question 49
6 out of 6 points
Compute the mean and the standard deviation of the following distribution:
Selected Answer: mean = 1
ST Dev=1
Correct Answer:
Mean = μ = Σ x f (x)
= (0) (0.4) + (1) (0.3) + (2) (0.2) + (3) (0.1)
= 0.3 + 0.4 + 0.3 = 1.0
Variance =σ² = Σ (x-μ²) f (x)
= (0-1) ² (0.4) + (1 1) ² (0.3) + (2-1) ² (0.2) + (31) ²(0.1) = 1.0
Std dev = σ = square root of 1.0 = 1.0
Response
Feedback:

[None Given]
Question 50
1 out of 10 points
A rental car company wants to investigate whether the type of car rented
affects the length of the rental period. An experiment is run for one week at a
particular location, and 10 rental contracts are selected at random for each car
type. The results are shown in the following table.
Type of Car Observations
Subcompact
4 6 4
8
7
6 4 3 2 7
Compact
2 4 5
8
6
7 4 3 2 8
Midsize
5 2 4
6
8
2 3 5 3 8
Full Size
4 6 8
6
11
4 5 8 3 8
Is there evidence to support a claim that the type of car rented affects the
length of the rental contract? Use α=0.05. Solve this problem using Minitab.
Selected Descriptive Statistics: Full size, MIdsize, Compact, Sub-compact
Answer:
Variable
N N* Mean SE Mean StDev Minimum
Q1 Median
Q3 Maximum
Full size 10 0 6.300 0.775 2.452 3.000 4.000 6.000 8.000 11.000
MIdsize
10 0 4.600 0.702 2.221 2.000 2.750 4.500 6.500 8.000
Compact
10 0 4.900 0.722 2.283 2.000 2.750 4.500 7.250 8.000
Sub-compact 10 0 5.100 0.623 1.969 2.000 3.750 5.000 7.000 8.000
Correct
Answer:
Step 1: Formulating Hypothesis
H0: The type of car does not affect the length of rental period.
Ha: The type of car affects the length of rental period.
Step 2: Enter Data in Minitab- Data of each Row should be entered in a
Column in Minitab. Then click on Stat> ANOVA> One Way ANOVA
The following results are from Minitab:
One-way ANOVA: sub-compact, compact, midsize, full size
Source
Factor
Error
Total
DF SS
MS
3 16.67 5.56
36 180.30 5.01
39 196.98
F
P
1.11 0.358
Step 3: Rejection Area
Reject the null hypothesis if P-value is smaller than α.
In this problem: P-value= 0.358 which is bigger than α=0.05. Thus, we cannot
reject the null hypothesis. So, we conclude that the type of car does not affect
the length of rental period.