Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 11.4, Problem 40E
In a study of processes used to remove impurities from cellulose goods (“Optimization of Rope-
a. Use Yates’s algorithm to obtain sums of squares and the ANOVA table.
b. Do there appear to be any second-, third-, or fourth-order interaction effects present? Explain your reasoning. Which main effects appear to be significant?
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To assess the effect of piston ring type and oil type on piston ring wear, three types of piston rings and four types of oil
were studied. Three replications of an experiment, in which the number of milligrams of material lost from the ring in
four hours of running was measured, were carried out for each of the 12 combinations of oil type and piston ring type.
With oil type as the row effect and piston ring type as the column effect, the following sums of squares were observed:
SSA = 1.293, SSB = 0.9340, SSAB 0.2485, SSE 1.7034.
Construct an ANOVA table. (Enter your Sum of Squares, Mean Sum of Squares, and F calculations rounded to three decimal
Source
Oil
Ring
Interaction
Error
Total
DF
SS
MS
F
P
(Click to select)
(Click to select)
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A developmental psychologist experiment to determine if exposure to an enriched environment shortly after birth will cause increased brain development. Twenty, two-month-old rats are randomly selected from a pool of one thousand two-month-old rat pups. Ten of the twenty pups are exposed to an enriched environment for three weeks and the other ten to the usual environment for the same period of time. At a suitable time after the exposure, the psychologist measures the number of neurons per cm3 in each rat's brain. A comparison is then made of the mean number of neurons per cm3 for each group.a. What is the population?b. What is the independent variable?c. What is the sample?d. What is the statistics?e. What is the dependent variable?
Researchers were interested in whether certain health behaviors can reduce the number of sick days employees take. Employees were randomly assigned to three groups, with a separate sample of n = 10 in each group. Group 1 was asked to eat 5 servings of fruits and vegetables a week for a year. Group 2 was asked to eat 5 servings of fruits and vegetables a week, as well as exercise 5 times a week, for a year. Group 3 served as the control group; they were not asked to change their behaviors. At the end of the year, the researchers compared the number of sick days.
Healthy Diet
Healthy Diet & Exercise
Control
∑X = 156
∑X2 = 860
M1 = 5.00
M2 = 4.40
M3 = 6.20
N = 30
S1 = 1.05
S2 = 1.07
S3 = 1.15
k = 3
SS1 = 10.00
SS2 = 10.40
SS3 = 11.80
T1 = 50.00
T2 = 44.00
T3 = 62.00
Define hypotheses
Find the critical value and rejection region using alpha = .05.
Fill in the ANOVA summary table to calculate the test statistic F…
Chapter 11 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 11.1 - An experiment was carried out to investigate the...Ch. 11.1 - Four different coatings are being considered for...Ch. 11.1 - Prob. 3ECh. 11.1 - In an experiment to see whether the amount of...Ch. 11.1 - In an experiment to assess the effect of the angle...Ch. 11.1 - A particular county employs three assessors who...Ch. 11.1 - Prob. 7ECh. 11.1 - The paper Exercise Thermoregulation and...Ch. 11.1 - The article The Effects of a Pneumatic Stool and a...Ch. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - The power curves of Figures 10.5 and 10.6 can be...Ch. 11.2 - In an experiment to assess the effects of curing...Ch. 11.2 - Prob. 17ECh. 11.2 - The accompanying data resulted from an experiment...Ch. 11.2 - A two-way ANOVA was carried out to assess the...Ch. 11.2 - The article Fatigue Limits of Enamel Bonds with...Ch. 11.2 - In an experiment to investigate the effect of...Ch. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.3 - The output of a continuous extruding machine that...Ch. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Nickel titanium (NiTi) shape memory alloy (SMA)...Ch. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - The article The Responsiveness of Food Sales to...Ch. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.4 - The accompanying data resulted from an experiment...Ch. 11.4 - The accompanying data resulted from a 23...Ch. 11.4 - In a study of processes used to remove impurities...Ch. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - a. In a 24 experiment, suppose two blocks are to...Ch. 11.4 - a. An experiment was carried out to investigate...Ch. 11.4 - Prob. 46ECh. 11.4 - a. In a seven-factor experiment (A,, G), suppose a...Ch. 11.4 - The article Applying Design of Experiments to...Ch. 11 - The results of a study on the effectiveness of...Ch. 11 - Prob. 51SECh. 11 - Prob. 52SECh. 11 - In an automated chemical coating process, the...Ch. 11 - Coal-fired power plants used in the electrical...Ch. 11 - Impurities in the form of iron oxides lower the...Ch. 11 - Factorial designs have been used in forestry to...Ch. 11 - Prob. 57SECh. 11 - Prob. 58SECh. 11 - The bond strength when mounting an integrated...Ch. 11 - Prob. 60SECh. 11 - Prob. 61SE
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