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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 1.3 - Problem 13e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 1.3 - Problem 13e

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# A sample of 100 resistors has an average resistance of 50

ISBN: 9780073401331 38

## Solution for problem 13E Chapter 1.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 13E

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

i. less than $$5\ \Omega$$

ii. greater than $$5\ \Omega$$

iii. equal to $$5\ \Omega$$

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.)

Equation Transcription:

Text Transcription:

50 ohms

5 ohms

100 ohms

5 ohms

5 ohms

5 ohms

Step-by-Step Solution:

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

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