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A sample of 100 resistors has an average resistance of 50

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

Solution for problem 13E Chapter 1.3

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 13E

Problem 13E

A sample of 100 resistors has an average resistance of 50 Ω and a standard deviation of 5 Ω. A second sample of 100 resistors has an average resistance of 100 Ω and a standard deviation of 5 Ω. If the two samples are combined, the standard deviation of all 200 resistances will be________________.

i. less than 5 Ω

ii. greater than 5 Ω

iii. equal to 5 Ω

iv. can’t tell from the information given

(Hint: Don’t do any calculations. Just try to sketch, very roughly, histograms for each sample separately, then for the combined sample.)

Step-by-Step Solution:

Answer :

Step 1 of 2 :

Given,  a sample of 100 resistors are taken, where, average is 50 and standard deviation is 5.

From another sample of 100 resistors has an average resistance of 100 and a standard deviation of 5.

if two samples are combined, The claim to suggest one of the standard deviation given below

(i) less than 5

(ii) greater than 5

(iii) equal to 5

(iv) can’t tell from the information given.


Step 2 of 2

Chapter 1.3, Problem 13E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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A sample of 100 resistors has an average resistance of 50