A psychologist wishes to conduct a study on the effects of music deprivation on high school students. A high school class consists of the 30 students numbered in the list below. The researcher establishes a treatment group of 15 students who will have their portable music players replaced by experimental players that present the sound of water running. The control group of 15 students will all get regular portable music players, stuffed full of their favorite songs.

\begin{tabular}{|l|l|l|l|l||}
\hline
00 Aaron & 06 Fallon & 12 Kiefer & 18 Quincy & 24 Ukiah \\
\hline
01 Buffy & 07 Graham & 13 Lucia & 19 Rachael & 25 Valerie \\
\hline
02 Chandler & 08 Heather & 14 Monte & 20 Sarah & 26 Wahib \\
\hline
03 Cindy & 09 Hsin-Chi & 15 Naomi & 21 Stacy & 27 Xavier \\
\hline
04 Drusilla & 10 Ismail & 16 Otis & 22 Tasha & 28 Yolanda \\
\hline
05 Eric & 11 Jasmine & 17 Polly & 23 Tuan & 29 Zachary \\
\hline
\end{tabular}

Use the line of random numbers below to select the first 5 students to receive the treatment. What is the name of the fourth student selected?

59784443121595409233000467431802610573961684338454



Answer :

To determine the name of the fourth student selected for the psychologist's study, follow these steps:

1. Identify the List of Students: The students are numbered from 00 to 29, each corresponding to their names as listed in the provided table.

2. Random Number Sequence: We use the sequence of random numbers given: 59784443121595409233000467431802610573961684338454.

3. Select Students: By taking two digits at a time from the sequence and converting them to indices, we can identify specific students from the list. If a pair of digits exceeds the highest index (29), it is skipped.

4. First 5 Students Selected:
- The first two digits are 59. This exceeds the highest index (29), so it's skipped.
- The next two digits are 78. This also exceeds the highest index (29), so it's skipped.
- The next two digits are 44. This too is skipped as it exceeds 29.
- The next two digits are 31. Again, skipped for the same reason.
- The next digits are 21, which corresponds to Stacy.
- 12 corresponds to Kiefer.
- 15 corresponds to Naomi.
- 04 corresponds to Drusilla.
- 18 corresponds to Quincy.

5. First 5 students selected:
- 1st student: Stacy
- 2nd student: Kiefer
- 3rd student: Naomi
- 4th student: Drusilla
- 5th student: Quincy

So, the name of the fourth student selected is Drusilla.