How Many Bank Accounts Have Deposits Below $1500?

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Homework Statement


In a certain bank, there 10,000 deposit accounts. A simple random sample of 36 accounts was drawn without replacement. If Y denotes the amount (in units of 100) in a deposit account, the following data were obtained from the sample: \sum^{n}_{i=1}y_{i}= 900 and \sum^{n}_{i=1}y^{2}_{i}= 25,335.
Suppose of 36 accounts drawn in the sample, 12 had a deposit less than 15 (in units of 100). Estimate the total number of accounts having a deposit of less than 15 and its standard error.

I were not able to attempt a solution since I am confused if 12 is already the total number of accounts having a deposit of less than 15. Could someone help me understand this problem and guide me here?
 
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They mean: out of the 36 in the sample, there were 12 with a deposit less than 15.
How many accounts with less than 15 do you expect in the total of 10,000 accounts?
 
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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