Private Colleges and Universities Rely on Money Contributed by Individuals $122.6,177.5,95.4$

question 47

Multiple Choice

Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much of this money is invested in a fund called an endowment, and the college spends only the interest earned by the fund. A recent survey of eight private colleges in the United States revealed the following endowments (in millions of dollars) : 60.2, 47.0, 235.1, 490.0, $122.6,177.5,95.4$ , and 220.0. Summary statistics yield $\bar { x } = 180.975$ and $s = 143.042$ . Calculate a $99 \%$ confidence interval for the mean endowment of all private colleges in the United States.

• A) \(180.975 \pm 189.173\)
• B) \(180.975 \pm 169.672\)
• C) \(180.975 \pm 181.387\)
• D) \(180.975 \pm 176.955\)

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Definitions:

Working Capital

The disparity between an organization's immediate assets and liabilities, showcasing its short-term economic viability and effectiveness.

Current Assets

Assets that are expected to be converted into cash, sold, or consumed within a year or within the operating cycle of a business.

Withdraw

The act of removing funds from an account, typically from a bank or investment.

Investment

Allocation of resources, usually money, into a vehicle expected to generate income or profit, such as stocks, bonds, or real estate.