1. A study was conducted to investigate the effects of three factors on the an explosive device. The factors of interest are pipe diameter, a restraint mater between the device and the restraint material. Two repeat tests were com combination of the factor levels. The data are shown below. Factors Factor levels Low 0.75 High 7

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1. A study was conducted to investigate the effects of three factors on the fragmentation of
an explosive device. The factors of interest are pipe diameter, a restraint material and the air gap
between the device and the restraint material. Two repeat tests were conducted on each
combination of the factor levels. The data are shown below.
(a)
(b)
(c)
Air gap
(C)
Factors
A (in.)
B
C (in.)
Material (B)
0.50 in.
0.75 in.
Factor levels
Low
0.75
Sand
0.50
Sand
57.6
57.9
61.8
61.3
0.75 in.
High
1.75
Earth
0.75
Pipe Diameter (A)
Earth
63.2
63.5
65.8
63.5
Sand
69.5
69.2
68.1
69.0
1.75 in.
Earth
69.9
62.0
55.3
59.8
Suppose that in the data above, we had confounded ABC in replicate I and AB in replicate
II. Give the name of this design?
Outline the design mentioned in (a).
Analyze the data and infer your conclusion.
Transcribed Image Text:1. A study was conducted to investigate the effects of three factors on the fragmentation of an explosive device. The factors of interest are pipe diameter, a restraint material and the air gap between the device and the restraint material. Two repeat tests were conducted on each combination of the factor levels. The data are shown below. (a) (b) (c) Air gap (C) Factors A (in.) B C (in.) Material (B) 0.50 in. 0.75 in. Factor levels Low 0.75 Sand 0.50 Sand 57.6 57.9 61.8 61.3 0.75 in. High 1.75 Earth 0.75 Pipe Diameter (A) Earth 63.2 63.5 65.8 63.5 Sand 69.5 69.2 68.1 69.0 1.75 in. Earth 69.9 62.0 55.3 59.8 Suppose that in the data above, we had confounded ABC in replicate I and AB in replicate II. Give the name of this design? Outline the design mentioned in (a). Analyze the data and infer your conclusion.
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