Prob. for Difference of mean, single finite pop.

rogo0034
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Homework Statement



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Homework Equations



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The Attempt at a Solution

 
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not entirely sure what to do here, i mean I've gotten the Variance for each, 78.125 & 50, and then... I'm confused because it's coming from one population, not two. hmmf.
 
A: .0119 and .0024 respectively, for the prob of being over 20, is this at all right?

B:So I put them each into the central limit theorem and got: .1892 for the first and .1591 for the second
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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