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There are 15 numbers on a list, and the smallest number is

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

Solution for problem 6SE 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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4
Problem 6SE

Problem 6SE

There are 15 numbers on a list, and the smallest number 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 the value of the mean after the change? If so, what-is the value?

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

d. 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 6SE

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 the value of the mean after the change? If so, what-is the value?

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

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

Step2 of 3:

a).

Yes , It is possible to determine by how much the mean changes and the value of mean after changing value from 12.9 to 1.29 is given by

Sample mean is calculated by using the formula

Where,

x = random variable

= mean

N = sample size.

Consider,

           New mean  

                     =

                  =

Therefore, the mean decreases to 0.779.


b).

No, it is not possible to determine the value of the mean after the change because we dont know the value of mean before the mean.

 


Step3 of 3:

c).

Yes, It is possible to determine by how much the median changes because we have 15 numbers in a data set and doesn’t effect the median so the median didn’t change.


d).

No it is impossible to determine how much the standard deviation changes .


 

Step 2 of 3

Chapter 1, Problem 6SE is Solved
Step 3 of 3

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

The full step-by-step solution to problem: 6SE from chapter: 1 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: much, change, determine, changes, mean. 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 6SE from 1 chapter was answered, more than 1041 students have viewed the full step-by-step answer. The answer to “There are 15 numbers on a list, and the smallest number 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 the value of the mean after the change? If so, what-is the value?________________c. Is it possible to determine by how much the median changes? If so, by how much does it change?________________d. Is it possible to determine by how much the standard deviation changes? If so, by how much does it change?” is broken down into a number of easy to follow steps, and 93 words.

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