Question

Who goes to the convention? A club has $30$ student members and $10$ faculty members. The students are

The club can send $4$ students and $2$ faculty members to a convention. It decides to choose those who will go by random selection. How will you label the two strata? Use Table D, beginning at line $123$ to choose a stratified random sample of $4$ students and $2$ faculty members.

Short answer

Students: Ghosh, Jones, Fisher, Shaw

Faculty members: Besicovitch, Andrews

Step-by-step solution

Given information

The sample data of students and the faculty members is provided.

Concept

A simple random sample (SRS) of size n is made up of $n$ people chosen from the population with an equal chance of being the sample that is actually chosen.

Calculation

A convention can be attended by four students and two faculty members. It decides on a random selection of those who will go.

Based on their position in the alphabetical ranking, the student is assigned a unique number between $1$ and $30$

Line $123$ from table D:$54580815072710256027558923306341842815683$

Select the relevant student for every $2$ consecutive digits if the number is between$1$ and $30$, otherwise move on to the next $2$-digit number:

Based on their position in the alphabetical ranking, each faculty member is assigned a unique number between $0$ and $9.$

Line $123$ from table D: $54580815072710256027558923306341842815683$

Select the two faculty members who match to the first two digits (after $27$):

$$\begin{gathered} 1\Rightarrow SelectBesicovitch \\ 0\Rightarrow SelectAndrews \end{gathered}$$