Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 9.1, Problem 4E
The antibiotic gentamicin sulphate is often blended with acrylic bone cement to help prevent infection following joint replacement surgery. The article “Incorporation of Large Amounts of Gentamicin Sulphate Into Acrylic Bone Cement: Effect on Handling and Mechanical Properties, Antibiotic Release, and Biofilm Formation” (N. Dunne, P. McAfee, ct al., Journal of Engineering in Medicine. 2008:355–365) presents a study of the effect of the amount of antibiotic added on various properties of the cement. Following are measurements of the setting time of the cement, for six levels of antibiotic amount, and three replications per level. The measurements are consistent with means and standard deviations presented in the article.
- a. Construct an ANOVA table. You may give a
range for the P-value. - b. Can you conclude that there are differences among the
mean setting times?
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Students have asked these similar questions
The antibiotic gentamicin sulphate is often blended with acrylic bone cement to help
prevent infection following joint replacement surgery. The article "Incorporation of Large
Amounts of Gentamicin Sulphate Into Acrylic Bone Cement: Effect on Handling and
Mechanical Properties, Antibiotic Release, and Biofilm Formation" (N. Dunne, P. MCAfee,
et al., Journal of Engineering in Medicine, 2008:355-365) presents a study of the effect of
the amount of antibiotic added on various properties of the cement. Following are
measurements of the setting time of the cement, for six levels of antibiotic amount, and
three replications per level. The measurements are consistent with means and standard
deviations presented in the article.
Antibiotic per 40 g Cement
Setting Time (min)
0g
0.58
1g
12.7
14.1
13.2
13.5
14.5
14.6
12.7
13.4
13.2
12.7
13.6
14.1
13.4
13.5
14.3
14.5
13.5
14.9
Construct an ANOVA table. You may give a range for the P-value.
Can you conclude that there are differences among the mean…
Acrylic resins used in the fabrication of dentures should not absorb much water, since water
sorption reduces strength. The article "Reinforcement of Acıylic Resin for Provisional
Fixed Restorations. Part III: Effects of Addition of Titania and Zirconia Mixtures on Some
Mechanical and Physical Properties" (W. Panyayong, Y. Oshida, et al., Bio-Medical
Materials and Engineering, 2002:353-366) describes a study of the effect on water sorption
of adding titanium dioxide (TiO,) and zirconium dioxide (ZiO,) to a standard acıylic resin.
Twelve specimens from each of several formulations, containing various amounts of TiO,
and Zro, were immersed in water for one week, and the water sorption (in ug/mm?) was
measured in each. The results are presented in the following table.
Volume %
Formulation TIO, Zro, Mean
A (control)
Standard Deviation
24.03
2.50
14.88
1.55
2
12.81
1.08
0.5
11.21
2.98
2
16.05
1.66
12.87
0.96
15.23
0.97
Н
3
15.37
0.64
Use the Bonferoni method to determine which of the…
The article "Efficient Pyruvate Production by a Multi-Vitamin Auxotroph of Torulopsis
glabrata: Key Role and Optimization of Vitamin Levels" (Y. Li, J. Chen, et al., Applied
Microbiology and Biotechnology, 2001:680-685) investigates the effects of the levels of
several vitamins in a cell culture on the yield (in g/L) of pyruvate, a useful organic acid. The
data in the following table are presented as two replicates of a 23 design. The factors are A:
nicotinic acid, B: thiamine, and C: biotin. (Two statistically insignificant factors have been
dropped. In the article, each factor was tested at four levels; we have collapsed these to
two.)
в
Mean Yield
Yields
0.55, 0.49
A.
-1
-1
-1
0.520
-1
-1
0.60, 0.42
0.37, 0.28
0.30, 0.28
0.54, 0.54
0.54, 0.47
0.44, 0.33
0.36, 0.20
0.510
0.325
0.290
-1
-1
-1
-1
-1
1.
0.540
-1
0.505
-1
0.385
0.280
Compute estimates of the main effects and interactions, and the sum of squares and P-
value for each.
a.
b.
Is the additive model appropriate?
C.
What…
Chapter 9 Solutions
Statistics for Engineers and Scientists
Ch. 9.1 - A study is made of the effect of curing...Ch. 9.1 - The article Nutrient Deprivation Improves Field...Ch. 9.1 - Prob. 3ECh. 9.1 - The antibiotic gentamicin sulphate is often...Ch. 9.1 - The article influence of Age on Masonry Bond...Ch. 9.1 - Archaeologists can determine the diets of ancient...Ch. 9.1 - The article Secretion of Parathyroid Hormone...Ch. 9.1 - The article Impact of Free Calcium Oxide Content...Ch. 9.1 - A certain chemical reaction was run three times at...Ch. 9.1 - An experiment to compare the lifetimes of four...
Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Refer to Exercise 12. a. Compute the quantity...Ch. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - The following MINITAB output presents a power...Ch. 9.2 - Exercises for Section 9.2 1.The article Organic...Ch. 9.2 - The article Optimum Design of an A-pillar Trim...Ch. 9.2 - Prob. 3ECh. 9.2 - Refer to Exercise 2 in Section 9.1. a.Use the...Ch. 9.2 - Refer to Exercise 13 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 1 in Section 9.1. A scientist...Ch. 9.2 - Refer to Exercise 13 in Section 9.1. A...Ch. 9.2 - Refer to Exercise 3 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 5 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 9 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 16 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 18 in Section 9.1. a. Use the...Ch. 9.2 - In an experiment to determine the effect of...Ch. 9.2 - In an experiment to determine the effect of curing...Ch. 9.2 - Prob. 15ECh. 9.2 - For some data sets, the F statistic will reject...Ch. 9.3 - To assess the effect of piston ring type and oil...Ch. 9.3 - A machine shop has three machines used in...Ch. 9.3 - An experiment to determine the effect of mold...Ch. 9.3 - The effect of curing pressure on bond strength was...Ch. 9.3 - The article Change in Creep Behavior of Plexiform...Ch. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Adding glass panicles to clay brick may improve...Ch. 9.3 - The article Application of Radial Basis Function...Ch. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - The article Anodic Fenton Treatment of Treflan MTF...Ch. 9.3 - Refer to Exercise 12. The treatments with a...Ch. 9.3 - The article Use of Taguchi Methods and Multiple...Ch. 9.3 - The article T-Bracing for Stability of Compression...Ch. 9.3 - The article referred to in Exercise 15 also...Ch. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - The article Cellulose Acetate Microspheres...Ch. 9.4 - Recycling newsprint is important in reducing...Ch. 9.4 - A study was done to see which of four machines is...Ch. 9.4 - Prob. 3ECh. 9.4 - Three different corrosion-resistant coatings are...Ch. 9.4 - The article Genotype-Environment Interactions and...Ch. 9.4 - The article Sprinkler Technologies, Soil...Ch. 9.4 - The article Bromate Surveys in French Drinking...Ch. 9.4 - The article Multi-objective Scheduling Problems:...Ch. 9.4 - You have been given the task of designing a study...Ch. 9.4 - An engineering professor wants to determine which...Ch. 9.5 - Prob. 1ECh. 9.5 - Give an example of a factorial experiment in which...Ch. 9.5 - Prob. 3ECh. 9.5 - The article Efficient Pyruvate Production by a...Ch. 9.5 - The article cited in Exercise 4 also investigated...Ch. 9.5 - A metal casting process for the production of...Ch. 9.5 - The article An Investigation into the Ball...Ch. 9.5 - In a 2p design with one replicate per treatment,...Ch. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - The article Factorial Design for Column Rotation...Ch. 9.5 - Prob. 12ECh. 9.5 - Prob. 13ECh. 9 - The article Gypsum Effect on the Aggregate Size...Ch. 9 - Prob. 2SECh. 9 - Prob. 3SECh. 9 - Prob. 4SECh. 9 - Prob. 5SECh. 9 - Prob. 6SECh. 9 - Prob. 7SECh. 9 - The article Case Study Based Instruction of DOE...Ch. 9 - The article Combined Analysis of Real-Time...Ch. 9 - Vermont maple sugar producers sponsored a testing...Ch. 9 - Prob. 11SECh. 9 - Prob. 12SECh. 9 - Prob. 13SECh. 9 - The article Enthalpies and Entropies of Transfer...Ch. 9 - Prob. 15SECh. 9 - Prob. 16SECh. 9 - The article Factorial Experiments in the...Ch. 9 - The Williamsburg Bridge is a suspension bridge...Ch. 9 - Prob. 19SECh. 9 - In the article Nitrate Contamination of Alluvial...Ch. 9 - The article Factorial Experiments in the...Ch. 9 - Prob. 22SECh. 9 - Prob. 23SECh. 9 - Prob. 24SE
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