1. Chapter 11: Section 11.1, Exercise 10. "The strength of concrete used in commercial..." Here is the ANOVA table for this data set: Analysis of Variance for Strength Source Batch Method Error Total DF 86.7913 23.229 24.045 134.067 MS 9.644 11.614 1.336 7.22 0.000 8.69 0.002 2 18 29 Follow these instructions: a, with α-0.01, perform the 2 tests of hypothesis: (Factor A-Batch) Ho:CA2-0 vs. Ha : ƠA2 (Factor B-Method) Ho: β1-62-63-o vs. Ha. Ho is false. 0 . . Follow the 4-step procedure and use the P-values above. b. Suppose that Factor A (Batch) is a random effect. Compute by hand arn estimate of ơA2 How much of total variation in a single observation is attributed to differences between batches? c. 10. The strength of concrete used in commercial construction tends to vary from one batch to another. Consequently small test cylinders of concrete sampled from a batch are "cured" for periods up to about 28 days in temperature- and moisture-controlled environments before strength measure- ments are made. Concrete is then "bought and sold on the basis of strength test cylinders" (ASTM C 31 Standard Test Method for Making and Curing Concrete Test Specimens in the Field). The accompanying data resulted from an experi- ment carried out to compare three different curing methods with respect to compressive strength (MPa). Analyze this data Batch Method A Method B Method C 30.7 29.1 30.0 31.9 30.5 26.9 28.2 32.4 26.6 28.6 33.7 30.6 32.2 34.6 33.0 29.3 28.4 32.4 29.5 29.4 30.5 30.5 33.5 32.4 27.8 30.7 33.6 29.2 33.2 4 10
1. Chapter 11: Section 11.1, Exercise 10. "The strength of concrete used in commercial..." Here is the ANOVA table for this data set: Analysis of Variance for Strength Source Batch Method Error Total DF 86.7913 23.229 24.045 134.067 MS 9.644 11.614 1.336 7.22 0.000 8.69 0.002 2 18 29 Follow these instructions: a, with α-0.01, perform the 2 tests of hypothesis: (Factor A-Batch) Ho:CA2-0 vs. Ha : ƠA2 (Factor B-Method) Ho: β1-62-63-o vs. Ha. Ho is false. 0 . . Follow the 4-step procedure and use the P-values above. b. Suppose that Factor A (Batch) is a random effect. Compute by hand arn estimate of ơA2 How much of total variation in a single observation is attributed to differences between batches? c. 10. The strength of concrete used in commercial construction tends to vary from one batch to another. Consequently small test cylinders of concrete sampled from a batch are "cured" for periods up to about 28 days in temperature- and moisture-controlled environments before strength measure- ments are made. Concrete is then "bought and sold on the basis of strength test cylinders" (ASTM C 31 Standard Test Method for Making and Curing Concrete Test Specimens in the Field). The accompanying data resulted from an experi- ment carried out to compare three different curing methods with respect to compressive strength (MPa). Analyze this data Batch Method A Method B Method C 30.7 29.1 30.0 31.9 30.5 26.9 28.2 32.4 26.6 28.6 33.7 30.6 32.2 34.6 33.0 29.3 28.4 32.4 29.5 29.4 30.5 30.5 33.5 32.4 27.8 30.7 33.6 29.2 33.2 4 10
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
This problem is from the book “ Probability and Statistics for Engineering and Sciences” Eighth Edition by Jay Devore.
Transcribed Image Text:1. Chapter 11: Section 11.1, Exercise 10. "The strength of concrete used in
commercial..."
Here is the ANOVA table for this data set:
Analysis of Variance for Strength
Source
Batch
Method
Error
Total
DF
86.7913
23.229
24.045
134.067
MS
9.644
11.614
1.336
7.22 0.000
8.69 0.002
2
18
29
Follow these instructions:
a,
with α-0.01, perform the 2 tests of hypothesis:
(Factor A-Batch) Ho:CA2-0 vs. Ha : ƠA2
(Factor B-Method) Ho: β1-62-63-o vs. Ha. Ho is false.
0
.
.
Follow the 4-step procedure and use the P-values above.
b. Suppose that Factor A (Batch) is a random effect. Compute by hand arn
estimate of ơA2
How much of total variation in a single observation is attributed to differences
between batches?
c.
10. The strength of concrete used in commercial construction
tends to vary from one batch to another. Consequently
small test cylinders of concrete sampled from a batch are
"cured" for periods up to about 28 days in temperature- and
moisture-controlled environments before strength measure-
ments are made. Concrete is then "bought and sold on the
basis of strength test cylinders" (ASTM C 31 Standard Test
Method for Making and Curing Concrete Test Specimens in
the Field). The accompanying data resulted from an experi-
ment carried out to compare three different curing methods
with respect to compressive strength (MPa). Analyze this
data
Batch
Method A
Method B
Method C
30.7
29.1
30.0
31.9
30.5
26.9
28.2
32.4
26.6
28.6
33.7
30.6
32.2
34.6
33.0
29.3
28.4
32.4
29.5
29.4
30.5
30.5
33.5
32.4
27.8
30.7
33.6
29.2
33.2
4
10
Expert Solution
Trending now
This is a popular solution!
Step by step
Solved in 10 steps with 6 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman