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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 3.2 - Problem 20e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 3.2 - Problem 20e

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# The lengths of two components will be measured several ISBN: 9780073401331 38

## Solution for problem 20E Chapter 3.2

Statistics for Engineers and Scientists | 4th Edition

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Problem 20E

The lengths of two components will be measured several times. The uncertainty in each measurement of the length of the first component is , and the uncertainty in each measurement of the length of the second component is . Let denote the average of the measurements of the first component, and let denote the average of the measurements of the second component. The total length of the two components will be estimated with the quantity .

a. Find the uncertainty in the total length if the first component is measured 4 times and the second component is measured 12 times.

b. 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.

c. Determine the best way to allocate 16 measurements between the components by determining the value of n that minimizes the uncertainty.

Step-by-Step Solution:

Step 1 of 4

Uncertainty means standard deviation of the measurements

The uncertainty in the length of the first component is The uncertainty in the length of the second component is Let denote the average of the measurements of the first component

Let denote the average of the measurements of the second component

The total length of the components will be estimated with the quantity Step 2 of 4

Step 3 of 4

##### ISBN: 9780073401331

The full step-by-step solution to problem: 20E from chapter: 3.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “?The lengths of two components will be measured several times. The uncertainty in each measurement of the length of the first component is , and the uncertainty in each measurement of the length of the second component is . Let denote the average of the measurements of the first component, and let denote the average of the measurements of the second component. The total length of the two components will be estimated with the quantity .a. Find the uncertainty in the total length if the first component is measured 4 times and the second component is measured 12 times.b. 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.c. Determine the best way to allocate 16 measurements between the components by determining the value of n that minimizes the uncertainty.” is broken down into a number of easy to follow steps, and 149 words. This full solution covers the following key subjects: component, uncertainty, times, length, measured. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 20E from 3.2 chapter was answered, more than 845 students have viewed the full step-by-step answer.

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