Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Chapter 9, Problem 23SE
To determine
Check whether the mean strength differs for different angles.
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An article in the Fire Safety Journal (“The Effect of Nozzle Design on the Stability and Performance of Turbulent Water Jets,” Vol. 4, August 1981) describes an experiment in which a shape factor was determined for several different nozzle designs at six levels of jet efflux velocity. Interest focused on potential differences between nozzle designs (blocks), with velocity considered as a nuisance variable. The data are shown below:
Jet Efflux Velocity (m/s)
Nozzle Design
11.73
14.37
16.59
20.43
23.46
28.74
1
0.78
0.80
0.81
0.75
0.77
0.78
2
0.85
0.85
0.92
0.86
0.81
0.83
3
0.93
0.92
0.95
0.89
0.89
0.83
4
1.14
0.97
0.98
0.88
0.86
0.83
5
0.97
0.86
0.78
0.76
0.76
0.75
1) Write the null hypothesis and the alternative hypothesis (for the factor).
2) Find the ANOVA table. (round to five decimal places).
3) What is your decision about the null hypothesis, consider ?.
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The depth of wetting of a soil is the depth to which water content will increase owing to
extemal factors. The article "Discussion of Method for Evaluation of Depth of Wetting in
Residential Areas" (J. Nelson, K. Chao, and D. Overton, Journal of Geotechnical and
Geoenvironmental Engineering, 2011:293-296) discusses the relationship between depth of
wetting beneath a structure and the age of the structure. The article presents measurements
of depth of wetting, in meters, and the ages, in years, of 21 houses, as shown in the
following table.
Age
Depth
7.6
4
4.6
6.1
9.1
3
4.3
7.3
5.2
10.4
15.5
5.8
10.7
4
5.5
6.1
10.7
10.4
4.6
7.0
6.1
14
16.8
10
9.1
8.8
Compute the least-squares line for predicting depth of wetting (y) from age (x).
b. Identify a point with an unusually large x-value. Compute the least-squares line that
results from deletion of this point.
Identify another point which can be classified as an outlier. Compute the least-squares
line that results from deletion of the outlier,…
The article "Influence of Freezing Temperature on Hydraulic Conductivity of Silty Clay" (J.
Konrad and M. Samson, Journal of Geotechnical and Geoenvironmental Engineering,
2000:180–187) describes a study of factors affecting hydraulic conductivity of soils. The
measurements of hydraulic conductivity in units of 108 cm/s (y), initial void ratio (x), and
thawed void ratio (x2) for 12 specimens of silty clay are presented in the following table.
y
1.01 1.12 1.04 1.30 1.01 1.04 0.955 1.15 1.23 1.28 1.23 1.30
0.84 0.88 0.85 0.95 0.88 0.86 0.85 0.89 0.90 0.94 0.88 0.90
X1
0.81 0.85 0.87 0.92 0.84 0.85 0.85 0.86 0.85 0.92 0.88 0.92
X2
Fit the model y = Bo + fix1 + e. For each coefficient, test the null hypothesis that it is
equal to 0.
Fit the model y = Bo + Bzx2 + e. For each coefficient, test the null hypothesis that it is
equal to 0.
Fit the model y = Bo + BzX1 + Bzxz + e. For each coefficient, test the null hypothesis that
it is equal to 0.
d. Which of the models in parts (a) to (c) is…
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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