Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data:
Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data:
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
Question
Please answer all parts
Transcribed Image Text:Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit
area, to strain, i.e., deformation per unit length, in GPa) and flexural
strength (a measure of the ability to resist failure in bending, in MPa) were
determined for a sample of concrete beams of a certain type, resulting in the
following data:
MOE
29.7
33.3
33.8
35.4
35.4
36.0
36.3
36.4
37.6
37.6
Strength
5.8
7.3
7.2
6.4
8.2
6.7
6.9
7.7
6.9
6.6
МОЕ
38.6
38.7
39.5
41.1
42.7
42.9
43.6
45.7
45.9
46.8
Strength
6.9
6.4
8.0
9.1
8.1
8.8
7.9
9.8
7.3
7.6
MOE
47.9
49.2
51.6
62.7
69.9
79.4
80.1
Strength
9.6
7.7
7.8
11.7
11.4
11.7
10.8
Fitting the simple linear regression model to the n = 27 observations on x =
modulus of elasticity and y = flexural strength given in the data above
resulted in ŷ = 7.608, s, = 0.183 when x = 40 and ŷ = 9.768, s, = 0.259 for
x = 60. The simple linear regression model also resulted in a value of
s = 0.8851.
(a) Explain why so is larger when x = 60 than when x = 40.
O The closer x is to x, the smaller the value of so.
O The farther x is from y, the smaller the value of so.
O The closer x is to y, the smaller the value of so.
O The farther x is from x, the smaller the value of sọ.
(b) Calculate a confidence interval with a confidence level of 95% for the
true average strength of all beams whose modulus of elasticity is 40.
(Round your answers to three decimal places.)
MPa
(c) Calculate a prediction interval with a prediction level of 95% for the
strength of a single beam whose modulus of elasticity is 40. (Round your
answers to three decimal places.)
MPa
(d) If a 95% CI is calculated for true average strength when modulus of
elasticity is 60, what will be the simultaneous confidence level for both
this interval and the interval calculated in part (b)?
The simultaneous confidence level for these intervals is at least
%.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 9 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