Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Chapter 8.1, Problem 14E
To determine
Find the transformation of p to convert
Find the transformed equation.
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The poaching model for Species Z is
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Revert Don.
6. The simulation of parameter-distributed processes is connected with discretization in space and
time. The distribution of changes in the temperature x of a heated at the front massive long metal
piece is described by the following partial differential equation:
a²x(z,t)
Oz²
ax(z,t)
(1)
= -a(x-0₂)+b
at
where 0, is the ambient temperature, a and b are constants.
Derive the discrete model by applying discretization first with respect to z (z;= i.Az) and after that
with respect to t (tk=k.At), using backward finite differences for the corresponding derivatives.
The article "Measurements of the Thermal Conductivity and Thermal Diffusivity of
Polymer Melts with the Short-Hot-Wire Method" (X. Zhang, W. Hendro, et al.,
International Journal of Thermophysics, 2002:1077-1090) reports measurements of the
thermal conductivity (in W· m-1 . K') and diffusivity of several polymers at several
temperatures (in 1000°C). The following table presents results for the thermal conductivity
of polycarbonate.
Cond.
Temp.
0.236
0.028
0.241
0.038
0.244
0.061
0.251
0.083
0.259
0.107
0.257
0.119
0.257
0.130
0.261
0.146
0.254
0.159
0.256
0.169
0.251
0.181
0.249
0.204
0.249
0.215
0.230
0.225
0.230
0.237
0.228
0.248
Denoting conductivity by y and temperature by x, fit the linear model y = Bo + Bix + ɛ.
a.
For each coefficient, test the hypothesis that the coefficient is equal to 0.
b. Fit the quadratic model y = Bo + Bix + Bzx? + ɛ. For each coefficient, test the
Page 661
Fit the cubic model y = Bo + Bix + Bx + Bax + ɛ. For each coefficient, test the
%3D
hypothesis that…
Chapter 8 Solutions
Statistics for Engineers and Scientists
Ch. 8.1 - In an experiment to determine the factors...Ch. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - The article Application of Analysis of Variance to...Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Refer to Exercise 7. a. Find a 95% confidence...Ch. 8.1 - In a study of the lung function of children, the...Ch. 8.1 - Prob. 10E
Ch. 8.1 - Prob. 11ECh. 8.1 - The following MINITAB output is for a multiple...Ch. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - The following data were collected in an experiment...Ch. 8.1 - The November 24, 2001, issue of The Economist...Ch. 8.1 - The article Multiple Linear Regression for Lake...Ch. 8.1 - Prob. 19ECh. 8.2 - In an experiment to determine factors related to...Ch. 8.2 - In a laboratory test of a new engine design, the...Ch. 8.2 - In a laboratory test of a new engine design, the...Ch. 8.2 - The article Influence of Freezing Temperature on...Ch. 8.2 - The article Influence of Freezing Temperature on...Ch. 8.2 - The article Influence of Freezing Temperature on...Ch. 8.3 - True or false: a. For any set of data, there is...Ch. 8.3 - The article Experimental Design Approach for the...Ch. 8.3 - Prob. 3ECh. 8.3 - An engineer measures a dependent variable y and...Ch. 8.3 - Prob. 5ECh. 8.3 - The following MINITAB output is for a best subsets...Ch. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - (Continues Exercise 7 in Section 8.1.) To try to...Ch. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - The article Ultimate Load Analysis of Plate...Ch. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - The article Modeling Resilient Modulus and...Ch. 8.3 - The article Models for Assessing Hoisting Times of...Ch. 8 - The article Advances in Oxygen Equivalence...Ch. 8 - Prob. 2SECh. 8 - Prob. 3SECh. 8 - Prob. 4SECh. 8 - In a simulation of 30 mobile computer networks,...Ch. 8 - The data in Table SE6 (page 649) consist of yield...Ch. 8 - Prob. 7SECh. 8 - Prob. 8SECh. 8 - Refer to Exercise 2 in Section 8.2. a. Using each...Ch. 8 - Prob. 10SECh. 8 - The data presented in the following table give the...Ch. 8 - The article Enthalpies and Entropies of Transfer...Ch. 8 - Prob. 13SECh. 8 - Prob. 14SECh. 8 - The article Measurements of the Thermal...Ch. 8 - The article Electrical Impedance Variation with...Ch. 8 - The article Groundwater Electromagnetic Imaging in...Ch. 8 - Prob. 18SECh. 8 - Prob. 19SECh. 8 - Prob. 20SECh. 8 - Prob. 21SECh. 8 - Prob. 22SECh. 8 - The article Estimating Resource Requirements at...Ch. 8 - Prob. 24SE
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