A Researcher Obtains an Alphabetical List of the 2560 Students

question 13

Multiple Choice

A researcher obtains an alphabetical list of the 2560 students at a college. She uses a random number generator to obtain 50 numbers between 1 and 2560. She chooses the 50 students corresponding to those numbers. Does this sampling plan result in a random sample? Simple Random sample? Explain.

• A) Yes; no. The sample is random because all students have the same chance of being selected. It is not a simple random sample because some samples are not possible, such as a sample containing the first 50 students on the list.
• B) No; no. The sample is not random because not all students have the same chance of being selected. It is not a simple random sample because some samples are not possible, such as a sample containing the the first 50 students on the list.
• C) Yes; yes. The sample is random because all students have the same chance of being selected. It is a simple random sample because all samples of 50 students have the same chance of being selected.
• D) No; yes. The sample is not random because not all students have the same chance of being selected. It is a simple random sample because all samples of 50 students have the same chance of being selected.

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Definitions:

Payee

The person or entity to whom a payment is to be made or credited.

Parts Warehouse

A storage facility specialized in storing spare parts for various types of machinery or vehicles.

Without Recourse

A legal term indicating that the holder of a financial instrument cannot demand payment from the original issuer in the case of default.