Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 9.3, Problem 19E
The article “Cellulose Acetate Microspheres Prepared by O/W Emulsification and Solvent Evaporation Method” (K. Soppinmath, A Kulkarni, et al., Journal of Microncapsulation, 2001:811–817) describes a study of the effects of the concentrations of polyvinyl alcohol (PVAL) and dichloromethane (DCM) on the encapsulation efficiency in a process that produces microspheres containing the drug ibuprofen. There were three concentrations of PVAL (measured in units of % w/v) and three of DCM (in ml.). The results presented in the following table are consistent with the means and standard deviations presented in the article.
- a. Construct an ANOVA table. You may give
ranges for the P-values. - b. Discuss the relationships among PVAL concentration, DCM concentration, and encapsulation efficiency.
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The article "Experimental Design Approach for the Optimization of the Separation of
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and Technology, 2002: 847–875) describes an experiment involving a chemical process
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value of the t statistic for the constant term.)
Predictor
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т
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1.603
X1
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X2
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3.084
0.018
0.306
11.011
0.000
0.272
8.542
0.000
0.057
1.802
0.115
0.105
3.300
0.013
X1X2
-0.022
-0.630
0.549
XXз
-0.036
-1.004
0.349
X>Xз
0.036
1.018
0.343
Of the following, which is the best next step in the analysis?
i.
Nothing needs to be done. This model is fine.
Drop x;, x;, and x from the model, and then perform an F test.
iii. Drop…
The article "Experimental Measurement of Radiative Heat Transfer in Gas-Solid
Suspension Flow System" (G. Han, K. Tuzla, and J. Chen, AIChe Journal, 2002:1910-
1916) discusses the calibration of a radiometer. Several measurements were made on the
electromotive force readings of the radiometer (in volts) and the radiation flux (in kilowatts
per square meter). The results (read from a graph) are presented in the following table.
Heat flux (y)
15 31 51 55 67 89
Signal output (x) 1.08 2.42 4.17 4.46 5.17 6.92
Compute the least-squares line for predicting heat flux from the signal output.
If the radiometer reads 3.00 V, predict the heat flux.
If the radiometer reads 8.00 V, should the heat flux be predicted? If so, predict it. If
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The article "Two Different Approaches for RDC Modelling When Simulating a Solvent
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measurements for a sample of paraffinic hydrocarbons. The natural logs of the flow rates (y)
and the specific gravity measurements (x) are presented in the following table.
х
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0.8139
-0.580
0.8171
0.049
0.8202
0 673
0.8233
1.311
0.8264
1.959
0.8294
2.614
0.8323
3.270
0.8352
Fit the linear model y = Bo + B,x + ɛ. For each coefficient, test the hypothesis that the
coefficient is equal to 0.
Fit the quadratic model y = Bo + B,x + B2x? + E. For each coefficient, test the
a.
b.
hypothesis that the coefficient is equal to 0.
Fit the cubic model y = Bo + Bix + B2x²
+ Bax + E. For each coefficient, test the
C.
hypothesis that the coefficient is equal to 0.
Which of the models in parts (a) through (c) is the most appropriate? Explain.
Using the most…
Chapter 9 Solutions
Statistics for Engineers and Scientists
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