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The temperature of a solution will be estimated by taking

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

Solution for problem 9E Chapter 4.11

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 9E

Problem 9E

The temperature of a solution will be estimated by taking n independent readings and averaging them. Each reading is unbiased, with a standard deviation of σ =0.5°C. How many readings must be taken so that the probability is 0.90 that the average is within ±0.1 °C of the actual temperature?

Step-by-Step Solution:

Solution

Step 1 of 2

Here we have to find the required number of readings must be taken

 so that the probability is 0.9 that the average the average is within 0.10c

Given that each reading is unbiased with standard deviation 0.5

Let n is the required number of readings

Let be the average of the n readings

The mean is

The standard deviation is

                                               =0.5/


Step 2 of 2

Chapter 4.11, Problem 9E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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The temperature of a solution will be estimated by taking