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W2 Discussion "Community Partnerships"
· Community Partnerships
The following topic(s) will demonstrate what the discussion is
about, but feel free to branch off or expand on the topics. In
addition to this discussion, you will be asked to craft a 150
word reflection on what you have learned through this
conversation and post it to the Reflection Journal. The more
active you are in this part of the discussion, the more you will
have to draw from in your reflection, so get involved, be active,
help out your classmates when they need it, and, most of all,
enjoy the conversation.
Choose one of the below sayings and explain how you feel it
relates to service learning, civic engagement and becoming
community?
A: “Do unto others as you would have them do unto you” -- The
Golden Rule
B. “Do unto others as they would have done to them” -- The
Platinum Rule
C. “The whole is greater than the sum of its parts” -- Aristotle
D. “Ask not what your country can do for you, but what you can
do for your country” -- J. F. Kennedy
How do you think Howard Schultz, author of Pour Your Heart
Into It, would answer this question?
Please respond to the initial question by day 5 and be sure to
post two additional times to peers and/or instructor by day 7. If
you use any source outside of your own thoughts, you should
reference that source. Include solid grammar, punctuation,
sentence structure, and spelling.
W2 Discussion "Community Partnerships"
·
Community Partnerships
The following topic(s) will demonstrate what the discussion is
about, but feel free to branch off or
expand on the topics. In addition to this discussion, you will be
asked to craft a 150 word ref
lection on
what you have learned through this conversation and post it to
the Reflection Journal. The more active
you are in this part of the discussion, the more you will have to
draw from in your reflection, so get
involved, be active, help out your clas
smates when they need it, and, most of all, enjoy the
conversation.
Choose one of the below sayings and explain how you feel it
relates to service learning, civic
engagement and becoming community?
A: “Do unto others as you would have them do unto you”
--
The Golden Rule
B. “Do unto others as they would have done to them”
--
The Platinum Rule
C. “The whole is greater than the sum of its parts”
--
Aristotle
D. “Ask not what your country can do for you, but what you can
do for your country”
--
J. F. Kennedy
H
ow do you think Howard Schultz, author of
Pour Your Heart Into It
, would answer this question?
Please respond to
the initial question by day 5 and be sure to post two
additional times to peers and/or instructor by day 7.
If you use any source
outside of your own thoughts, you should reference that source.
Include solid
grammar, punctuation, sentence structure, and s
pelling.
W2 Discussion "Community Partnerships"
The following topic(s) will demonstrate what the discussion is
about, but feel free to branch off or
expand on the topics. In addition to this discussion, you will be
asked to craft a 150 word reflection on
what you have learned through this conversation and post it to
the Reflection Journal. The more active
you are in this part of the discussion, the more you will have to
draw from in your reflection, so get
involved, be active, help out your classmates when they need it,
and, most of all, enjoy the
conversation.
Choose one of the below sayings and explain how you feel it
relates to service learning, civic
engagement and becoming community?
A: “Do unto others as you would have them do unto you” -- The
Golden Rule
B. “Do unto others as they would have done to them” -- The
Platinum Rule
C. “The whole is greater than the sum of its parts” -- Aristotle
D. “Ask not what your country can do for you, but what you can
do for your country” -- J. F. Kennedy
How do you think Howard Schultz, author of Pour Your Heart
Into It, would answer this question?
Please respond to the initial question by day 5 and be sure to
post two
additional times to peers and/or instructor by day 7. If you use
any source
outside of your own thoughts, you should reference that source.
Include solid
grammar, punctuation, sentence structure, and spelling.
HW5
1. Definitions and explanations
a. What are the main and supporting objectives of Experimental
Design?
b. Explain the fundamental difference between experimentation
and what is referred to in the engineering as testing. Why do
you think experimentation is more useful than testing to the
product design process?
c. What is the difference between a fixed effects model and
random effects model?
d. Explain the concept of interaction between factors.
e. What are the features of a 2k and 2k-2 experiments and how
is it constructed?
Single Factor ANOVA
2. The tensile strength of portland cement is being studied.
Four different mixing techniques can be used economically.
The following data have been collected:
Mixing Technique
Tensile Strength (lb/in2)
1
3129
3000
2865
2890
2
3200
3300
2975
3150
3
2800
2900
2985
3050
4
2600
2700
2600
2765
a. Test the hypothesis that mixing techniques affect the strength
of the cement. Use ( = 0.05.
b. Use the Tukeys method with alpha=0.05 to make comparisons
between pairs of means.
c. Construct a normal probability plot of the residuals. What
conclusion would you draw about the validity of the normality
assumption
d. Find a 95 percent confidence interval on the mean tensile
strength of the portland cement produced by each of the four
mixing techniques.
3. Four different feed rates were investigated in an experiment
on a CNC machine producing a component part used in an
aircraft auxiliary power unit. The manufacturing engineer in
charge of the experiment knows that a critical part dimension of
interest may be affected by the feed rate. However, prior
experience has indicated that only dispersion effects are likely
to be present. That is, changing the feed rate does not affect the
average dimension, but it could affect dimensional variability.
The engineer makes five production runs at each feed rate and
obtains the standard deviation of the critical dimension (in 10-3
mm). The data are shown below. Assume that all runs were
made in random order.
Feed Rate
Production
Run
(in/min)
1
2
3
4
5
10
0.09
0.10
0.13
0.08
0.07
12
0.06
0.09
0.12
0.07
0.12
14
0.11
0.08
0.08
0.05
0.06
16
0.19
0.13
0.15
0.20
0.11
a. Does feed rate have any effect on the standard deviation of
this critical dimension?
b. Use the residuals from this experiment of investigate model
adequacy. Are there any problems with experimental validity?
The residual plots are satisfactory.
c. Use the Tukeys method with ( =0.05 to make comparisons
between pairs of means
Two Factors ANOVA
4. The yield of a chemical process is being studied. The two
most important variables are thought to be the pressure and the
temperature. Three levels of each factor are selected, and a
factorial experiment with two replicates is performed. The
yield data follow:
Pressure
Temperature
200
215
230
150
90.4
90.7
90.2
90.2
90.6
90.4
160
90.1
90.5
89.9
90.3
90.6
90.1
170
90.5
90.8
90.4
90.7
90.9
90.1
a. Analyze the data and draw conclusions. Use ( = 0.05.
b. Prepare appropriate residual plots and comment on the
model’s adequacy.
c. Under what conditions would you operate this process?
5. An engineer suspects that the surface finish of a metal part
is influenced by the feed rate and the depth of cut. She selects
three feed rates and four depths of cut. She then conducts a
factorial experiment and obtains the following data:
Depth of
Cut (in)
Feed Rate (in/min)
0.15
0.18
0.20
0.25
74
79
82
99
0.20
64
68
88
104
60
73
92
96
92
98
99
104
0.25
86
104
108
110
88
88
95
99
99
104
108
114
0.30
98
99
110
111
102
95
99
107
a. Analyze the data and draw conclusions. Use ( = 0.05.
b. Prepare appropriate residual plots and comment on the
model’s adequacy.
c. Obtain point estimates of the mean surface finish at each feed
rate.
The 2k Factorial Design and Hypothesis Testing
6. An engineer is interested in the effects of cutting speed (A),
tool geometry (B), and cutting angle (C) on the life (in hours)
of a machine tool. Two levels of each factor are chosen, and
three replicates of a 23 factorial design are run. Use ( = 0.05.
The results follow:
Treatment
Replicate
A
B
C
Combination
I
II
III
-
-
-
(1)
22
31
25
+
-
-
a
32
43
29
-
+
-
b
35
34
50
+
+
-
ab
55
47
46
-
-
+
c
44
45
38
+
-
+
ac
40
37
36
-
+
+
bc
60
50
54
+
+
+
abc
39
41
47
a. Estimate the factor effects. Which effects appear to be large?
b. Use the analysis of variance to confirm your conclusions for
part (a).
c. Write down a regression model for predicting tool life (in
hours) based on the results of this experiment.
d. Analyze the residuals. Are there any obvious problems?
e. Based on the analysis of main effects and interaction plots,
what levels of A, B, and C would you recommend using?
7. The following are the burning times (in minutes) of
chemical flares of two different formulations. The design
engineers are interested in both the means and variance of the
burning times.
Type 1
Type 2
65
82
64
56
81
67
71
69
57
59
83
74
66
75
59
82
82
70
65
79
a. Test the hypotheses that the two variances are equal. Use
SYMBOL 97 f "Symbol" = 0.05.
b. Using the results of (a), test the hypotheses that the mean
burning times are equal. Use SYMBOL 97 f "Symbol" = 0.05.
What is the P-value for this test?
c. Discuss the role of the normality assumption in this problem.
Check the assumption of normality for both types of flares.
8. Analyze the following data. Use ( = 0.05.
A
B
C
D
E
Response
-1
-1
-1
-1
1
38.9
1
-1
-1
-1
-1
35.3
-1
1
-1
-1
-1
36.7
1
1
-1
-1
1
45.5
-1
-1
1
-1
-1
35.3
1
-1
1
-1
1
37.8
-1
1
1
-1
1
44.3
1
1
1
-1
-1
34.8
-1
-1
-1
1
-1
34.4
1
-1
-1
1
1
38.4
-1
1
-1
1
1
43.5
1
1
-1
1
-1
35.6
-1
-1
1
1
1
37.1
1
-1
1
1
-1
33.8
-1
1
1
1
-1
36
1
1
1
1
1
44.9
a. Determine if there are any outlier data points. Comment on
the technique used to make the assessment
b. Determine what factors are statistically significant
c. Determine if there are any two factors interactions and what
combinations from any interactions give the greatest result
d. Write down the model equation
e. If B high was 40 Volts and B low were 30. Determine from
the model equation the expected output at 32 volts
9. The diameters of steel shafts produced by a certain
manufacturing process should have a mean diameter of 0.255
inches. The diameter is known to have a standard deviation of
SYMBOL 115 f "Symbol" = 0.0001 inch. A random sample of
10 shafts has an average diameter of 0.2545 inches.
a. Set up the appropriate hypotheses on the mean SYMBOL 109
f "Symbol".
b. Find the P-value for this test.
c. Construct a 95 percent confidence interval on the mean shaft
diameter.
10. Given the data below for readings by 2 appraisers on 4 parts
with 3 trials,
a. Determine if the measurement system is acceptable.
b. What are the reasons for low Repeatability and Poor
Reproducibility?
Part Number
1 2 3 4
Appraiser A
Trial 1 0.55 0.45 0.60 0.20
Trial 2 0.55 0.40 0.60 0.30
Trial 3 0.50 0.35 0.55 0.25
Appraiser B
Trial 1 0.55 0.35 0.60 0.15
Trial 2 0.50 0.30 0.55 0.20
Trial 3 0.45 0.25 0.50 0.15
PAGE
1
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W2 Discussion Community Partnerships· Community Partnerships.docx

  • 1. W2 Discussion "Community Partnerships" · Community Partnerships The following topic(s) will demonstrate what the discussion is about, but feel free to branch off or expand on the topics. In addition to this discussion, you will be asked to craft a 150 word reflection on what you have learned through this conversation and post it to the Reflection Journal. The more active you are in this part of the discussion, the more you will have to draw from in your reflection, so get involved, be active, help out your classmates when they need it, and, most of all, enjoy the conversation. Choose one of the below sayings and explain how you feel it relates to service learning, civic engagement and becoming community? A: “Do unto others as you would have them do unto you” -- The Golden Rule B. “Do unto others as they would have done to them” -- The Platinum Rule C. “The whole is greater than the sum of its parts” -- Aristotle D. “Ask not what your country can do for you, but what you can do for your country” -- J. F. Kennedy How do you think Howard Schultz, author of Pour Your Heart Into It, would answer this question? Please respond to the initial question by day 5 and be sure to post two additional times to peers and/or instructor by day 7. If you use any source outside of your own thoughts, you should reference that source. Include solid grammar, punctuation, sentence structure, and spelling. W2 Discussion "Community Partnerships" · Community Partnerships
  • 2. The following topic(s) will demonstrate what the discussion is about, but feel free to branch off or expand on the topics. In addition to this discussion, you will be asked to craft a 150 word ref lection on what you have learned through this conversation and post it to the Reflection Journal. The more active you are in this part of the discussion, the more you will have to draw from in your reflection, so get involved, be active, help out your clas smates when they need it, and, most of all, enjoy the conversation. Choose one of the below sayings and explain how you feel it relates to service learning, civic engagement and becoming community? A: “Do unto others as you would have them do unto you” -- The Golden Rule B. “Do unto others as they would have done to them” -- The Platinum Rule C. “The whole is greater than the sum of its parts” -- Aristotle D. “Ask not what your country can do for you, but what you can do for your country” --
  • 3. J. F. Kennedy H ow do you think Howard Schultz, author of Pour Your Heart Into It , would answer this question? Please respond to the initial question by day 5 and be sure to post two additional times to peers and/or instructor by day 7. If you use any source outside of your own thoughts, you should reference that source. Include solid grammar, punctuation, sentence structure, and s pelling. W2 Discussion "Community Partnerships" The following topic(s) will demonstrate what the discussion is about, but feel free to branch off or expand on the topics. In addition to this discussion, you will be asked to craft a 150 word reflection on what you have learned through this conversation and post it to the Reflection Journal. The more active you are in this part of the discussion, the more you will have to draw from in your reflection, so get involved, be active, help out your classmates when they need it, and, most of all, enjoy the conversation. Choose one of the below sayings and explain how you feel it relates to service learning, civic engagement and becoming community? A: “Do unto others as you would have them do unto you” -- The
  • 4. Golden Rule B. “Do unto others as they would have done to them” -- The Platinum Rule C. “The whole is greater than the sum of its parts” -- Aristotle D. “Ask not what your country can do for you, but what you can do for your country” -- J. F. Kennedy How do you think Howard Schultz, author of Pour Your Heart Into It, would answer this question? Please respond to the initial question by day 5 and be sure to post two additional times to peers and/or instructor by day 7. If you use any source outside of your own thoughts, you should reference that source. Include solid grammar, punctuation, sentence structure, and spelling. HW5 1. Definitions and explanations a. What are the main and supporting objectives of Experimental Design? b. Explain the fundamental difference between experimentation and what is referred to in the engineering as testing. Why do you think experimentation is more useful than testing to the product design process? c. What is the difference between a fixed effects model and random effects model? d. Explain the concept of interaction between factors. e. What are the features of a 2k and 2k-2 experiments and how is it constructed? Single Factor ANOVA 2. The tensile strength of portland cement is being studied.
  • 5. Four different mixing techniques can be used economically. The following data have been collected: Mixing Technique Tensile Strength (lb/in2) 1 3129 3000 2865 2890 2 3200 3300 2975 3150 3 2800 2900 2985 3050 4 2600 2700 2600 2765 a. Test the hypothesis that mixing techniques affect the strength of the cement. Use ( = 0.05. b. Use the Tukeys method with alpha=0.05 to make comparisons between pairs of means. c. Construct a normal probability plot of the residuals. What conclusion would you draw about the validity of the normality assumption d. Find a 95 percent confidence interval on the mean tensile strength of the portland cement produced by each of the four
  • 6. mixing techniques. 3. Four different feed rates were investigated in an experiment on a CNC machine producing a component part used in an aircraft auxiliary power unit. The manufacturing engineer in charge of the experiment knows that a critical part dimension of interest may be affected by the feed rate. However, prior experience has indicated that only dispersion effects are likely to be present. That is, changing the feed rate does not affect the average dimension, but it could affect dimensional variability. The engineer makes five production runs at each feed rate and obtains the standard deviation of the critical dimension (in 10-3 mm). The data are shown below. Assume that all runs were made in random order. Feed Rate Production Run (in/min) 1 2 3 4 5 10 0.09 0.10 0.13 0.08 0.07 12 0.06 0.09
  • 7. 0.12 0.07 0.12 14 0.11 0.08 0.08 0.05 0.06 16 0.19 0.13 0.15 0.20 0.11 a. Does feed rate have any effect on the standard deviation of this critical dimension? b. Use the residuals from this experiment of investigate model adequacy. Are there any problems with experimental validity? The residual plots are satisfactory. c. Use the Tukeys method with ( =0.05 to make comparisons between pairs of means Two Factors ANOVA 4. The yield of a chemical process is being studied. The two most important variables are thought to be the pressure and the temperature. Three levels of each factor are selected, and a factorial experiment with two replicates is performed. The yield data follow: Pressure Temperature
  • 8. 200 215 230 150 90.4 90.7 90.2 90.2 90.6 90.4 160 90.1 90.5 89.9 90.3 90.6 90.1 170 90.5 90.8 90.4 90.7 90.9 90.1 a. Analyze the data and draw conclusions. Use ( = 0.05. b. Prepare appropriate residual plots and comment on the model’s adequacy. c. Under what conditions would you operate this process? 5. An engineer suspects that the surface finish of a metal part is influenced by the feed rate and the depth of cut. She selects
  • 9. three feed rates and four depths of cut. She then conducts a factorial experiment and obtains the following data: Depth of Cut (in) Feed Rate (in/min) 0.15 0.18 0.20 0.25 74 79 82 99 0.20 64 68 88 104 60 73 92 96 92 98
  • 10. 99 104 0.25 86 104 108 110 88 88 95 99 99 104 108 114 0.30 98 99 110 111 102 95 99 107 a. Analyze the data and draw conclusions. Use ( = 0.05. b. Prepare appropriate residual plots and comment on the model’s adequacy.
  • 11. c. Obtain point estimates of the mean surface finish at each feed rate. The 2k Factorial Design and Hypothesis Testing 6. An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 23 factorial design are run. Use ( = 0.05. The results follow: Treatment Replicate A B C Combination I II III - - - (1) 22 31 25 + - - a 32
  • 13. 54 + + + abc 39 41 47 a. Estimate the factor effects. Which effects appear to be large? b. Use the analysis of variance to confirm your conclusions for part (a). c. Write down a regression model for predicting tool life (in hours) based on the results of this experiment. d. Analyze the residuals. Are there any obvious problems? e. Based on the analysis of main effects and interaction plots, what levels of A, B, and C would you recommend using? 7. The following are the burning times (in minutes) of chemical flares of two different formulations. The design engineers are interested in both the means and variance of the burning times. Type 1 Type 2 65 82 64 56 81 67 71 69 57 59
  • 14. 83 74 66 75 59 82 82 70 65 79 a. Test the hypotheses that the two variances are equal. Use SYMBOL 97 f "Symbol" = 0.05. b. Using the results of (a), test the hypotheses that the mean burning times are equal. Use SYMBOL 97 f "Symbol" = 0.05. What is the P-value for this test? c. Discuss the role of the normality assumption in this problem. Check the assumption of normality for both types of flares. 8. Analyze the following data. Use ( = 0.05. A B C D E Response -1 -1 -1 -1 1 38.9 1 -1 -1
  • 17. 1 -1 33.8 -1 1 1 1 -1 36 1 1 1 1 1 44.9 a. Determine if there are any outlier data points. Comment on the technique used to make the assessment b. Determine what factors are statistically significant c. Determine if there are any two factors interactions and what combinations from any interactions give the greatest result d. Write down the model equation e. If B high was 40 Volts and B low were 30. Determine from the model equation the expected output at 32 volts 9. The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter of 0.255 inches. The diameter is known to have a standard deviation of SYMBOL 115 f "Symbol" = 0.0001 inch. A random sample of 10 shafts has an average diameter of 0.2545 inches. a. Set up the appropriate hypotheses on the mean SYMBOL 109 f "Symbol". b. Find the P-value for this test.
  • 18. c. Construct a 95 percent confidence interval on the mean shaft diameter. 10. Given the data below for readings by 2 appraisers on 4 parts with 3 trials, a. Determine if the measurement system is acceptable. b. What are the reasons for low Repeatability and Poor Reproducibility? Part Number 1 2 3 4 Appraiser A Trial 1 0.55 0.45 0.60 0.20 Trial 2 0.55 0.40 0.60 0.30 Trial 3 0.50 0.35 0.55 0.25 Appraiser B Trial 1 0.55 0.35 0.60 0.15 Trial 2 0.50 0.30 0.55 0.20 Trial 3 0.45 0.25 0.50 0.15 PAGE 1