civil engineer is verifying that the delivered steel reinforcing bars (rebar) are all within the required lengths. The rebar has a mean length of 3 feet and a sample standard deviation of 0.3 inches. The data follows a normal distribution.   a. What percentage of rebar would fall between 3.025 feet and 2.975 feet? What range of lengths in feet would include 99% of the data?   b. If the design specification states that the diameters must be longer than 2.95 feet, what percent of rebar falls outside that range? Draw a number line diagram comparing the design specification and expected variability.   Please step by step answer.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

civil engineer is verifying that the delivered steel reinforcing bars (rebar) are all within the required lengths. The rebar has a mean length of 3 feet and a sample standard deviation of 0.3 inches. The data follows a normal distribution.

 

a. What percentage of rebar would fall between 3.025 feet and 2.975 feet? What range of lengths in feet would include 99% of the data?

 

b. If the design specification states that the diameters must be longer than 2.95 feet, what percent of rebar falls outside that range? Draw a number line diagram comparing the design specification and expected variability.

 

Please step by step answer. 

Expert Solution
steps

Step by step

Solved in 4 steps with 20 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman