A certain scale has an uncertainty of 3 g and a bias of 2

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

ISBN: 9780073401331 38

Solution for problem 14E Chapter 3.2

Statistics for Engineers and Scientists | 4th Edition

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Problem 14E

A certain scale has an uncertainty of 3 g and a bias of 2 g.

a. A single measurement is made on this scale. What are the bias and uncertainty in this measurement?

b. Four independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements?

c. Four hundred independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements?

d. As more measurements are made, does the uncertainty get smaller, get larger, or stay the same?

e. As more measurements are made, does the bias get smaller, get larger, or stay the same?

Step-by-Step Solution:

Solution:

Step 1 of 5:

Given a scale has an uncertainty of 3g and a bias of 2 g.

Our goal is:

a). A single measurement is made on this scale. We need to find the bias and

uncertainty in this measurement.

b). Four independent measurements are made on this scale.We have to find the bias

and uncertainty in the average of these measurements.

c). 400 independent measurements are made on this scale. We have to find the bias

and uncertainty in the average of these measurements.

d). As more measurements are made, we need to find the uncertainty get smaller, get

larger, or stay the same.

e). As more measurements are made, we need to find the bias get smaller, get

larger, or stay the same.

a).

Given a single measurement is made on this scale.

Then we have to find the bias and uncertainty in this measurement.

We know that a scale has an uncertainty of 3g and a bias of 2 g.

So the bias is 2 g and the uncertainty is 3 g and

Step 2 of 5

Chapter 3.2, Problem 14E is Solved

Step 3 of 5

Textbook: Statistics for Engineers and Scientists

Edition: 4

Author: William Navidi

ISBN: 9780073401331

The full step-by-step solution to problem: 14E from chapter: 3.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: measurements, bias, made, uncertainty, Scale. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “A certain scale has an uncertainty of 3 g and a bias of 2 g.a. A single measurement is made on this scale. What are the bias and uncertainty in this measurement?________________b. Four independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements?________________c. Four hundred independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements?________________d. As more measurements are made, does the uncertainty get smaller, get larger, or stay the same?________________e. As more measurements are made, does the bias get smaller, get larger, or stay the same?” is broken down into a number of easy to follow steps, and 105 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since the solution to 14E from 3.2 chapter was answered, more than 466 students have viewed the full step-by-step answer.