Let's go through each example and match it with the appropriate sampling method:
1. The first ten people who show up for class are asked to fill out a form.
- This example describes a scenario where the first individuals available are chosen. This is usually known as Convenience Sampling because it involves selecting a sample based on who is easiest to reach.
2. All students whose ID numbers are divisible by 5 are asked about what music they like.
- Here, a systematic approach is applied by choosing every student with an ID number divisible by 5. This is known as Systematic Sampling.
3. Students participate in a voluntary on-line survey conducted by your school cafeteria.
- This case involves participants voluntarily choosing to take part in the survey, which is characteristic of Self-selected Sampling.
Therefore, the table filled out with the appropriate sampling methods looks like this:
\begin{tabular}{|l|c|c|c|}
\hline & Convenience & Systematic & Self-selected \\
\hline \begin{tabular}{l}
The first ten people who show \\
up for class are asked to fill \\
out a form.
\end{tabular} & [tex]$\checked$[/tex] & [tex]$\square$[/tex] & [tex]$\square$[/tex] \\
\hline \begin{tabular}{l}
All students whose ID numbers \\
are divisible by 5 are asked \\
about what music they like.
\end{tabular} & [tex]$\square$[/tex] & [tex]$\checked$[/tex] & [tex]$\square$[/tex] \\
\hline \begin{tabular}{l}
Students participate in a \\
voluntary on-line survey \\
conducted by your school \\
cafeteria.
\end{tabular} & [tex]$\square$[/tex] & [tex]$\square$[/tex] & [tex]$\checked$[/tex] \\
\hline
\end{tabular}
