1. In order to test the linearity of our measuring device, an experiment with 6 reference parts was conducted which led to the results in the table below.
a. Within the range from 10 to 60, what is the % Linearity Error of this device?
b. If we use the device within the range of 20 to 40 only, what would be the % Linearity Error?
|
Parts
|
1
|
2
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3
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4
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5
|
6
|
|
Reference Values
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10.00
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20.00
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30.00
|
40.00
|
50.00
|
60.00
|
|
Trial 1
|
4.36
|
19.00
|
31.04
|
39.52
|
53.16
|
69.09
|
|
Trial 2
|
6.41
|
19.58
|
31.11
|
40.10
|
50.68
|
66.20
|
|
Trial 3
|
7.96
|
18.58
|
28.10
|
40.17
|
50.12
|
66.47
|
|
Trial 4
|
6.81
|
20.78
|
31.98
|
40.80
|
52.23
|
69.53
|
|
Trial 5
|
5.19
|
19.87
|
29.34
|
41.01
|
50.41
|
67.65
|
|
Trial 6
|
5.60
|
20.21
|
30.20
|
40.98
|
53.98
|
69.03
|
|
Trial 7
|
5.72
|
17.51
|
29.88
|
41.42
|
51.71
|
66.32
|
|
Trial 8
|
7.46
|
20.36
|
30.56
|
39.60
|
53.05
|
69.27
|
2. A Gage R&R study was carried out, in order to see if the measurement system has too much errors embedded in there.
a. Follow the simplified manual procedure shown in slides to complete the GRR table below the data set. Clearly mark the di values used in the calculations of different standard deviations.
b. Identify the NDC of the measurement capability.
Data set:
|
Inspector I
|
Inspector 2
|
|
Part
|
Reading #1
|
Reading #2
|
Reading #1
|
Reading 42
|
|
1
|
111
|
112
|
111
|
112
|
|
2
|
108
|
108
|
107
|
108
|
|
3
|
114
|
114
|
115
|
115
|
|
4
|
118
|
118
|
120
|
119
|
GRR Table:
|
Source
|
Standard Deviation
|
Variance Component
|
% Contribution
|
|
Total GRR
|
|
|
|
|
Repeatability
|
|
|
|
|
Reproducibility
|
|
|
|
|
Part-to-Part
|
|
|
|
|
Total Variation
|
|
|
|
3. Critical Path Method:
a. Develop an Arrow Diagram (activity network) based on the table below.
b. Find out the available slacks of each activity and identify the critical oath and minimum overall processing time.
|
Activity
|
Duration (Days)
|
Required Predecessor
|
|
A
|
8
|
None
|
|
B
|
30
|
None
|
|
C
|
12
|
None
|
|
D
|
18
|
A
|
|
E
|
20
|
A and B
|
|
F
|
9
|
C
|
|
G
|
10
|
C
|
|
H
|
8
|
D
|
|
I
|
4
|
E and F
|
4. 7M & 7Q Tools:
a. Develop a Fishbone Diagram to identify causes of "Being late to class." The branches of the fishbone can be something like "on the road," "at home," etc. Identify at least 5 causes and mark the Impact/Easiness level (as shown on the slides) of each cause.
b. Create a Pareto chart of the causes you identified. Use "Likelihood" as the y-axis.