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A University System Enrolling Hundreds of Thousands of Students Is

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A university system enrolling hundreds of thousands of students is considering a change in the way students pay for their education.Currently,the students pay $400 per credit hour.The university system administrators are contemplating charging each student a set fee of $7,000 per quarter,regardless of how many credit hours each takes.To see if this proposal would be economically feasible,the administrators would like to know how many credit hours,on the average,each student takes per quarter.A random sample of 250 students yields a mean of 14.1 credit hours per quarter and a standard deviation of 2.3 credit hours per quarter.Suppose the administration wanted to estimate the mean to within 0.1 hours at 95% reliability and assumed that the sample standard deviation provided a good estimate for the population standard deviation.How large a total sample would they need to take?


Definitions:

Annual Payments

Annual payments are payments made once a year for various financial commitments such as loans, insurance policies, or rent, providing a means to manage large payment obligations over time.

Interest Rate

The expense a borrower is obliged to pay to a lender, formulated as a percentage of the principal, for the service of borrowing assets.

Present Value

The present amount of a future sum of money or sequence of cash flows, discounted by a chosen rate of return.

No Money Down

A financing or purchase arrangement in which the buyer is not required to make any upfront payment at the time of purchase.

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