SOLUTION: a government survey is designed to have a margin of error of $10,000. Pilot studies suggewst that the population standard deviation is $70,000. Estimate the minimum sample size nee

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Question 613647: a government survey is designed to have a margin of error of $10,000. Pilot studies suggewst that the population standard deviation is $70,000. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.
I have: (2.70,000/10,000)squared =(140,000/10,000)squared = 14squared =196

Answer by stanbon(75887) About Me  (Show Source):
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a government survey is designed to have a margin of error of $10,000. Pilot studies suggest that the population standard deviation is $70,000. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.
I have: (2.70,000/10,000)squared =(140,000/10,000)squared = 14squared =196
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You are using 2.7 for the z-score. Why?
Cheers,
Stan H.
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ME = z*s/sqrt(n)
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sqrt(n) = ?*s/ME
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sqrt(n) =