By how many times does the sample size have to be increased to decrease the margin of error by a factor of 14​?         Question content area bottom Part 1 The sample size must be increased by a factor of enter your response here to decrease the margin of error by a factor of 14. ​(Type a whole​ number.) Part 2 What is the general​ relationship, if​ any, between the sample size and the margin of​ error?

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By how many times does the sample size have to be increased to decrease the margin of error by a factor of
14​?
 
 
 
 

Question content area bottom

Part 1
The sample size must be increased by a factor of
enter your response here
to decrease the margin of error by a factor of
14.
​(Type a whole​ number.)
Part 2
What is the general​ relationship, if​ any, between the sample size and the margin of​ error?
Expert Solution
Step 1

Since we know that Margin of error is given by

M = Zα/2*(σ/√n)

M ∝ 1/√n

So, sample size equation equation can be computed a

n ∝ 1/M2

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