Homework Help is Here – Start Your Trial Now!
Math
Statistics
The lengths of two components will be measured several times. The uncertainty in each measurement of the length of the first component is 01 = 0.02 cm, and the uncertainty in each measurement of the length of the second component is o, = 0.08 cm. Let x denote the average of the measurements of the first component, and let Y denote the average of the measurements of the second component. The total length of the two components will be estimated with the quantity X+Y. a. Find the uncertainty in the total length if the first component is measured 4 times and the second component is measured 12 times. Find the uncertainty in the total length in terms of n if the first component is measured n times and the second component is measured 16 - n times. Determine the best way to allocate 16 measurements between the components by determining the value of n that minimizes the uncertainty. b. C.

The lengths of two components will be measured several times. The uncertainty in each measurement of the length of the first component is 01 = 0.02 cm, and the uncertainty in each measurement of the length of the second component is o, = 0.08 cm. Let x denote the average of the measurements of the first component, and let Y denote the average of the measurements of the second component. The total length of the two components will be estimated with the quantity X+Y. a. Find the uncertainty in the total length if the first component is measured 4 times and the second component is measured 12 times. Find the uncertainty in the total length in terms of n if the first component is measured n times and the second component is measured 16 - n times. Determine the best way to allocate 16 measurements between the components by determining the value of n that minimizes the uncertainty. b. C.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
The lengths of two components will be measured several times. The uncertainty in each measurement of the length of the first component is 01 = 0.02 cm, and the uncertainty in each measurement of the length of the second component is o, = 0.08 cm. Let x denote the average of the measurements of the first component, and let Y denote the average of the measurements of the second component. The total length of the two components will be estimated with the quantity X+Y. a. Find the uncertainty in the total length if the first component is measured 4 times and the second component is measured 12 times. Find the uncertainty in the total length in terms of n if the first component is measured n times and the second component is measured 16 - n times. Determine the best way to allocate 16 measurements between the components by determining the value of n that minimizes the uncertainty. b. C.
Transcribed Image Text:The lengths of two components will be measured several times. The uncertainty in each measurement of the length of the first component is 01 = 0.02 cm, and the uncertainty in each measurement of the length of the second component is o, = 0.08 cm. Let x denote the average of the measurements of the first component, and let Y denote the average of the measurements of the second component. The total length of the two components will be estimated with the quantity X+Y. a. Find the uncertainty in the total length if the first component is measured 4 times and the second component is measured 12 times. Find the uncertainty in the total length in terms of n if the first component is measured n times and the second component is measured 16 - n times. Determine the best way to allocate 16 measurements between the components by determining the value of n that minimizes the uncertainty. b. C.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS