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How many samples are needed to estimate a population mean? The required confidence level is 99%...

How many samples are needed to estimate a population mean? The required confidence level is 99% and margin of error is 0.5. Population standard deviation, σ, is given as 3.0. Based on this information, how many samples (n) are needed?

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Answer #1

Solution :

Given that,

standard deviation = = 3.0

margin of error = E = 0.5

   Z/2 = 2.576

Sample size = n = ((Z/2 * ) / E)2

= ((2.576 * 3.0) / 0.5)2

= 239

Sample size = 239

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