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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

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:

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

##### ISBN: 9780073401331

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