How Many Bank Accounts Have Deposits Below $1500?

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SUMMARY

The discussion focuses on estimating the total number of bank accounts with deposits below $1500 based on a sample of 36 accounts. From this sample, it was determined that 12 accounts had deposits less than 15 (in units of 100). Using this data, participants are tasked with calculating the expected number of accounts with deposits below $1500 in a total of 10,000 accounts, along with determining the standard error of this estimate.

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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?
 

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