Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 9.2, Problem 22E
According to the article “Modeling and Predicting the Effects of Submerged Arc Weldment Process Parameters on Weldment Characteristics and Shape Profiles” (J. of Engr. Manuf., 2012: 1230–1240), the submerged arc welding (SAW) process is commonly used for joining thick plates and pipes. The heat affected zone (HAZ), a band created within the base metal during welding, was of particular interest to the investigators. Here are observations on depth (mm) of the HAZ both when the current setting was high and when it was lower.
| Non-high | 1.04 | 1.15 | 1.23 | 1.69 | 1.92 |
| 1.98 | 2.36 | 2.49 | 2.72 | ||
| 1.37 | 1.43 | 1.57 | 1.71 | 1.94 | |
| 2.06 | 2.55 | 2.64 | 2.82 | ||
| High | 1.55 | 2.02 | 2.02 | 2.05 | 2.35 |
| 2.57 | 2.93 | 2.94 | 2.97 |
a. Construct a comparative boxplot and comment on interesting features.
b. Is it reasonable to use the two-sample t test to test hypotheses about the difference between true average HAZ depths for the two conditions?
c. Does it appear that true average HAZ depth is larger for the higher current condition than for the lower condition? Carry out a test of appropriate hypotheses using a significance level of .01.
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a.
b. Fit the model y = Bo + B;X1 + B2X2 + ɛ. Compute the analysis of variance table.
c.…
Recently there has been increased use of stainless steel claddings in industrial settings. Claddings are used to finish the exterior walls of a building and help weatherproof the structure. To ensure the quality of claddings, it is essential to know how welding parameters impact the cladding process. The authors of “Mathematical Modeling of Weld Bead Geometry, Quality, and Productivity for Stainless Steel Claddings Deposited by FCAW” (J. Mater. Engr. Perform., 2012: 1862–1872) in vestigated how y 5 deposition rate was influenced by x1 = feed rate (Wf , in m/min) and x2 = welding speed (S, in cm/min). The following 22 observations correspond to the experiment condition where applied voltage was less than 30v:
y: 2.718 3.881 2.773 3.924 2.740 3.870 x1 : 17.0 10.0 7.0 10.0 7.0 10.0 x 2 : 30 30 50 50 30 30 y: 2.847 3.901 2.204 4.454 3.324 3.319 x1 : 7.0 10.0 5.5 11.5 8.5 8.5 x2 : 50 50 40 40 40 20
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Chapter 9 Solutions
Probability and Statistics for Engineering and the Sciences
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