A discount stock brokerages firm wants to know how big a sample should be taken from their customer list of 10,000 in order to know the mean dollar withdrawals from any single account in January. January is a big month for buying stocks for company mutual funds and the company wants to plan how much is leaking out their total value of their accounts. The standard deviation of withdrawals has been a steady $10,000 for five years; the brokerage firm would like to know the average amount within $2,000. The brokerage firm is satisfied a %90 confidence level will give them a satisfactory sample sized. Would the sample size necessarily increase or decrease if the firm decide it wanted a %95 level of confidence?

MATLAB: An Introduction with Applications
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A discount stock brokerages firm wants to know how big a sample should be taken from their customer list of 10,000 in order to know the mean dollar withdrawals from any single account in January. January is a big month for buying stocks for company mutual funds and the company wants to plan how much is leaking out their total value of their accounts. The standard deviation of withdrawals has been a steady $10,000 for five years; the brokerage firm would like to know the average amount within $2,000. The brokerage firm is satisfied a %90 confidence level will give them a satisfactory sample sized. Would the sample size necessarily increase or decrease if the firm decide it wanted a %95 level of confidence?
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