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, Problem 8SE
The article “Case Study Based Instruction of DOE and SPC” (J. Brady and T. Allen, The American Statistician. 2002:312–315) presents the result of a 24–1 factorial expertment to investigate the effects of four factors on the yield of a process that manufactures printed circuit boards. The factors were A: transistor power output (upper or lower specification limit). B: transistor mounting approach (screwed or soldered). C: transistor heat sink type (current or alternative configuration), and D: screw position on the frequency adjustor (one-half or two turns). The results are presented in the following table. The yield is a percent of a theoretical maximum.
- a. Estimale the main effccts of cach of the four faetors.
- b. Assuming all intcractions to be negligible, pool the sums of squares for interaction to use in place of an error sum of squares.
- c. Which of the four factors, if any. con you conclude to affect the yield? Whal is the P-value of thè relevanl test?
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The article "Case Study Based Instruction of DOE and SPC" (J. Brady and T. Allen, The
American Statistician, 2002:312-315) presents the result of a 24-1 factorial experiment to
investigate the effects of four factors on the yield of a process that manufactures printed
circuit boards. The factors were A: transistor power output (upper or lower specification
limit), B: transistor mounting approach (screwed or soldered), C: transistor heat sink type
(cUIrent or alternative configuration), and D: screw position on the frequency adjustor (one-
half or two turms). The results are presented in the following table. The yield is a percent of
a theoretical maximum.
в
Yield
79.8
-1
-1
-1
-1
69.0
-1
72.3
71.2
91.3
-1
-1
95.4
-1
92.7
91.5
a.
Estimate the main effects of each of the four factors.
b.
Assuming all interactions to be negligible, pool the sums of squares for interaction to
use in place of an erIor sum of squares.
Which of the four factors, if any, can you conclude to affect the yield?…
1. Individual actions can play a large role in the overall health of our planet. A researcher
interested in evaluating environmentally friendly behaviors evaluated how often people recycle
(per month) based on whether they have an overall optimistic or an overall pessimistic attitude
toward eco-friendly behaviors. Here are the results:
n=10-1
VR
Pessimistic
n=10
M = 2.9
SS=40,90
Optimistic
n = 10
M = 6.8
SS=25.60
alpha= .05.
a. Test whether or not recycling behaviors differed between groups. Use the hypothesis testing steps &
b. Compute Cohen's d to measure the effect size.
c. What was the power for this study?
th. There is no difference in recycling behaviors between pessimistic and
optimistic indyaucus
H. There is a significant difference in recycling behaviors between pessimist
and optimistic indindudes.
DE
4=
gnificance level 0.05
Statistic +=(x-m/s/√n
22. Recall the study, reported in Exercise 7.8.1, in which Dora et al. (A-37), investigated spinal
canal dimensions in 30 subjects symptomatic with disc herniation selected for a discectomy
and 45 asymptomatic individuals (control group). One of the areas of interest was determining
if there is a difference between the two groups in the spinal canal cross-sectional area (cm)
between vertebrae L5/S1. The data in the following table are simulated to be consistent with
the results reported in the paper. Do these simulated data provide evidence for us to conclude
that a difference in the spinal canal cross-sectional area exists between a population of
subjects with disc herniations and a population of those who do not have disc herniations? Let
a = .05.
Herniated Disc Group
Control Group
2.62
2.57
1.98
3.21
3.59
3.72
4.30
2.87
3.87
2.73 5.28
3.67
3.32
1.60
1.80
3.91
2.56
1.53
1.33
2.36
1.64
3.54 3.63
2.39
2.67
3.53
2.26
2.82
4.26
3.08
4.00
2.76 3.58
2.05
1.19
3.01
2.39
3.61
3.11
3.94
4.39…
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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