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 \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 6 students to receive the treatment. What is the name of the fifth student selected?

59784443121595409233000467431802610573961684338454

Question

05-08-2024
Mathematics

Answered

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 \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 6 students to receive the treatment. What is the name of the fifth student selected?

59784443121595409233000467431802610573961684338454

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-08-05T15:30:23-04:00

To determine the fifth student selected for the treatment group, follow these steps:

1. List of Random Numbers: Given the line of random numbers:
```
59784443121595409233000467431802610573961684338454
```

2. Extract Two-digit Numbers: Convert the line of random numbers into individual two-digit numbers:
```
59, 78, 44, 43, 12, 15, 95, 40, 92, 33, 00, 04, 67, 43, 18, 02, 61, 05, 73, 96, 16, 84, 33, 84, 54
```

3. Filter Valid Indices: Only retain numbers that are valid student indices (0-29):
```
12, 15, 00, 04, 18, 02
```

4. Select the First Six Valid Numbers: The first six numbers valid indices are:
```
12, 15, 00, 04, 18, 02
```

5. Identify the Fifth Student: The fifth number in the selected list is `18`.

6. Find Corresponding Student: According to the list provided, number `18` corresponds to the student Quincy.

Therefore, the name of the fifth student selected for the treatment group is Quincy.