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The volume of a rock is measured by placing the rock in a

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 15E Chapter 3.2

Statistics for Engineers and Scientists | 4th Edition

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

Statistics for Engineers and Scientists | 4th Edition

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Problem 15E

The volume of a rock is measured by placing the rock in a graduated cylinder partially filled with water and measuring the increase in volume. Eight independent measurements are made. The average of the measurements is 87.0 mL, and the standard deviation is 2.0 mL

a. Estimate the volume of the rock, and find the uncertainty in the estimate.

b. Eight additional measurements are made, for a total of 16. What is the uncertainty, approximately, in the average of the 16 measurements?

c. Approximately how many measurements would be needed to reduce the uncertainty to 0.4 mL?

Step-by-Step Solution:

Step 1 of 4:

Here the experiment under consideration is measuring the volume of a rock using certain method.

The mean is obtained as 87.0 mL and standard deviation as 2 mL for eight independent measurements.

That is =87.0 mL and =2.0 mL and n=8.

Using these,we have to find the required measurements.


Step 2 of 4

Chapter 3.2, Problem 15E is Solved
Step 3 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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The volume of a rock is measured by placing the rock in a