Question

3. Dr. Brake teaches an introductory political science course at a small iberal art college in Ohio: Wittenberg University. Her class consists of 9 students, and she wants to send out a survey to her students in the middle of the semester to see how they are feeling about the course so far. The students in her course are listed below. Use the random digit table provided on eCampus to take a simple random sample of 5 students for Dr. Brake's survey Completely describe each step you take in determining your sample. In order to get full credit, you must describe (or show) how the students are labeled, where you began in the table, and identify which 5 students were selected. (5 points) Students in Dr. Brake's Course Stabile, Lauren Goodbarn, Biz Herta, Patrick Kessler, Sarah Wolf, Alyssa Jreij, Vennessa Keim, Erik Fleming, Anna Grace Jones, Julia

Answer 1

At first we number the students serially, in a suitable order, from 1 to 9 i.e. Stabile, Lauren by 1, Kessler, Sarah by 2, Keim, Erik by 3, Goodbarn, Biz by 4, Wolf, Alyssa by 5, Fleming, Anna Grace by 6, Herta, Patrick by 7, Jeiji, Vennessa by 8 and Jones, Julia by 9. Since 9 is a 1-digit number, we consider random numbers in sets of one and assign 1,2,3,4,5,6,7,8,9 to the students with serial numbers 1,2,3,...,9. We ignore 0. Random numbers in sets of one are noted. It is necessary to mention that from where we start to draw random numbers from the table for example starting from 10th figure in the first row and proceeding row-wise. Following table shows the selection of sample.

$\begin{matrix} Random ~number &Remark& Sl.~no.~of~students\\ 6&Accepted &6\\ 9&Accepted &9\\ 7& Accepted &7\\ 0&Rejected &\\ 6& Rejected&\\ 2&Accepted &2\\ 5&Accepted &5 \end{matrix}$

Note that we accept random no. 6 when it appears 2nd time if we use simple random sampling with replacement.

Selected five students are:

Anna Grace, Jones, Julia,  Herta, Patrick, Kessler, Sarah, Wolf, Alyssa.