MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The engineering department at a steel mill is studying the tensile strength of a particular grade of steel when fabricatéd at various
pressures (Factor A) and temperatures (Factor B). The accompanying ANOVA table shows a portion of the results from conducting a
two-way ANOVA test with interaction. Assume that tensile strength is normally distributed.
a-1. Construct an ANOVA table. (Round "SS" to 2 decimal places, "MS to 4 decimal places and "F to 3 decimal places.)
ANOVA
Source of Variation
MS
p-value
Sample (B, temperature)
Columns (A, pressure)
150.22
150.2200
5.763
0.034
124.12
2
62.0600
2.377
0.135
Interaction
Within
Total
24.11
2
12.0550
0.462
0.641
313.33
12
26.1108
611.76
17
a-2. How many levels did pressure have?
Number of levels
b. How many observations were run for each combination of pressure-temperature settings?
Number of observations
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Transcribed Image Text:The engineering department at a steel mill is studying the tensile strength of a particular grade of steel when fabricatéd at various pressures (Factor A) and temperatures (Factor B). The accompanying ANOVA table shows a portion of the results from conducting a two-way ANOVA test with interaction. Assume that tensile strength is normally distributed. a-1. Construct an ANOVA table. (Round "SS" to 2 decimal places, "MS to 4 decimal places and "F to 3 decimal places.) ANOVA Source of Variation MS p-value Sample (B, temperature) Columns (A, pressure) 150.22 150.2200 5.763 0.034 124.12 2 62.0600 2.377 0.135 Interaction Within Total 24.11 2 12.0550 0.462 0.641 313.33 12 26.1108 611.76 17 a-2. How many levels did pressure have? Number of levels b. How many observations were run for each combination of pressure-temperature settings? Number of observations
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