Question

Ten volunteers are requested from your class to test a new bicycle. Of these ten, two are selected at random for the

actual tests. The sampling frame consists of
a. the students who were selected for the actual tests.
b. the students who volunteered.
c. all the students in the class.
d. the students who were not selected.
e. all the students in the school

Answer 1

The sampling frame in the given scenario is 'the students who volunteered.' A sampling frame is crucial for drawing a representative and unbiased sample from a larger population for experiments or studies.

Step-by-step explanation:

The subject of the student's question relates to the concept of a sampling frame in the context of probability and statistics. When a sample is taken from a larger population, the sampling frame is the actual list or set from which the sample is drawn. In the scenario presented, the correct answer is 'b. the students who volunteered.'

Other examples of sampling include:

• Using a random number generator to select students from an alphabetical list and then choosing every 50th student until the sample is complete.
• Selecting students from various demographic groups to ensure a representative sample of the population.
• Choosing test subjects by generating random numbers that correspond to students' names to ensure each has an equal chance of being selected.

In summary, a sampling frame is essential for creating a representative sample, which is crucial for conducting experiments and generalizing findings to a larger population.