Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 11.3, Problem 28E
To determine
Construct the ANOVA table and test for significance of the single factor at 1% level.
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cientists studied the chemical makeup of buried tills (glacial drifts) in order to estimate the age of the glacial drifts. The ratio of the elements aluminum (Al) and
ryllium (Be) in sediment is related to the duration of burial. The till specimens were obtained from five different boreholes (labeled UMRB-1, UMRB-2, UMRB-3, SWRA
nd SD). The Al/Be ratios for a sample of 26 buried till specimens were determined and are shown in the accompanying table. Conduct an analysis of variance of the
ata. Is there sufficient evidence to indicate differences among the mean Al/Be ratios for the five boreholes? Test, using α = 0.10.
Click the icon to view the table.
et up the null and the alternative hypotheses. Choose the correct answer below.
OA.
Ho: At least two treatment means differ and Ha: ₁ = H₂ = H3 = H4 = H5
B.
Ho: H₁ = μ₂ = 3 = H4 = μ5 and H₂: At least two treatment means differ
a
O C.
Ho: M₁
An abrasion test was performed using n = 14 moulded ceramic pieces. The following are the test results,
where for the i-th piece, the result of the test was recorded (one of Survived, Broken). The data also gives Xi,
the porosity index of the piece, which is a numerical quantity:
(Survived,8), (Broken,16), (Broken,19), (Survived,26), (Survived,49), (Survived,54), (Survived,66),
(Survived,79), (Survived,102), (Broken,111), (Survived,114), (Broken,151), (Survived,163), (Broken,199)
We want to study the resistance of pieces to abrasion as function of porosity. To this end, consider the
following logistic regression model,
log
πi
1/727 ) = B₁ + B₁x₁₂
πi
where the observations follow the distribution Y; Bernoulli(;). A data value y; = 1 indicates that the
piece survived the test and yi 0 indicates that the piece broke. Fit this model in R using the function
glm (). Examine your output and then answer the following questions.
=
A) What is the value of Bo?
B) If the porosity of a piece was…
A sample of ore is found to be 0.0022% gold and 0.059% silver. What is the percentage of matter in the ore that is neither gold or silver?
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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