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Math Help - Choosing sample size

  1. #1
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    Choosing sample size

    Hello. I am not sure about the complexity of the question I'm asking but its nothing like what I did in high school so I hope this is the correct forum.

    I have sets of 300 integers whose value can range between 330 and 370. The mean comes out to be in the range of 350-360 with a CV in the range of 1%.

    Because these values are discovered through destructive testing, a small sample size is preferred. I want to know how to quantify the relationship between the sample size and the expected deviation from the mean/cv of the entire population. Any pointers in the right direction or what additional parameters are required would be great.
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  2. #2
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    Hi there, are you aware of that the confidence interval for the mean at \displaystyle (1-\alpha) % is \displaystyle \bar{x}\pm t_{\alpha , n-1 }\times \frac{s}{\sqrt{n}} ?
    Last edited by pickslides; April 7th 2011 at 08:12 PM. Reason: bad latex
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  3. #3
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    Hello, I think a key piece of information I left out is that standard deviation of these sets varies and I'm equally interested in the relation between sample size and observed/population cv. Is it valid to work out the mean and standard deviation of resulting CVs to do this? How would this relate back to the sample size?
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