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The smallest number on a list is changed from 12.9 to

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

Solution for problem 5SE Chapter 1

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 5SE

The smallest number on a list is changed from 12.9 to 1.29.

a. Is it possible to determine by how much the mean changes? If so, by how much does it change?

b. Is it possible to determine by how much the median changes? If so, by how much does it change? What if the list consists of only two numbers?

c. Is it possible to determine by how much the standard deviation changes? If so, by how much does it change?

Step-by-Step Solution:
Step 1 of 3

Solution 5SE

Step1 of 3:

We have sample size N = 15 and mean

Total number of observations X’s is 15

The smallest number on a list X is changed from 12.9 to 1.29.

We need to find,

a).Is it possible to determine by how much the mean changes? If so, by how much does it change?

b).Is it possible to determine by how much the median changes? If so, by how much does it change? What if the list consists of only two numbers?

c).Is it possible to determine by how much the standard deviation changes? If so, by how much does it change?

Step2 of 3:

a).

Sample mean is calculated by using the formula

Where,

x = random variable

= mean

N = sample size

New mean is given by

New mean() =

                           =

                 =

            =  

            = 24.226.

Hence,=...

Step 2 of 3

Chapter 1, Problem 5SE is Solved
Step 3 of 3

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

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