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Chapter 1: Problem 35

State which of the following is an example of sampling with replacement and which is an example of sampling without replacement. a. Selecting 10 patients out of 100 to test a new drug b. Selecting one professor to be a member of the university senate and then selecting one professor from the same group to be a member of the curriculum committee

Short Answer

Expert verified
Option A is an example of sampling without replacement. Option B is an example of sampling with replacement.

Step by step solution

01

Understand Sampling With Replacement

Sampling with replacement means after each selection, the selected unit is put back into the pool. The selected member has a chance to be chosen again.
02

Understand Sampling Without Replacement

Sampling without replacement means each selected unit is not returned to the population. Each selection is made from a smaller pool because the selected units aren't put back in.
03

Analyze Option A

In option A, when selecting 10 patients out of 100 to test a drug, after a patient is chosen for testing, they are not put back into the pool for another chance to be selected. Hence, this is an example of sampling without replacement.
04

Analyze Option B

In option B, selecting one professor for the university senate and then selecting another for the curriculum committee from the same group, indicates that after the first professor is chosen, they could potentially be chosen again for the second committee. Therefore, this is an example of sampling with replacement.

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