An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. Using a table of random digits, the researcher needs to randomly place 75 students, labeled 01-75, into five equally sized treatment groups suitable for comparison. Carry out the random assignment using the given section from a table of random digits, starting with the first row and first column.

Table of Random Digits:
\begin{tabular}{|l|l|l|l|l|l|l|}
\hline 1 & 87265 & 40088 & 77722 & 69019 & 70989 & 86230 \\
\hline 2 & 60118 & 57227 & 19576 & 92825 & 30312 & 62823 \\
\hline 3 & 90356 & 24354 & 31341 & 00718 & 44068 & 46025 \\
\hline 4 & 00299 & 07571 & 17377 & 64820 & 48271 & 27423 \\
\hline 5 & 23587 & 28498 & 50442 & 55284 & 67225 & 19507 \\
\hline
\end{tabular}

Which list assigns the first seven students to the technique 1 group?

A. [tex]$8, 7, 2, 6, 5, 4, 1$[/tex]
B. [tex]$26, 54, 72, 19, 70, 62, 30$[/tex]
C. [tex]$26, 54, 72, 26, 19, 70, 62$[/tex]
D. [tex]$87, 26, 54, 00, 88, 77, 72$[/tex]



Answer :

To carry out the random assignment, the researcher follows the steps below to assign the first seven students to the technique 1 group:

1. Start from the first row and first column of the table of random digits.
2. Extract numbers sequentially from the table to form a series.
3. Use each set of numbers directly as they appear in the sequence to assign the students.

Here’s the detailed step-by-step process for this particular problem:

### Step-by-Step Process

1. Let's extract the first digit of each number in the initial sequence.
2. First sequence from the table (row 1, starting from the first column):
- 87265
- 40088
- 77722
- 69019
- 70989
- 86230

### Extract the First Digit of Each Number
- First digit of 87265 → 8
- First digit of 40088 → 4
- First digit of 77722 → 7
- First digit of 69019 → 6
- First digit of 70989 → 7
- First digit of 86230 → 8
- Ignore the continued digits

We keep on doing this until we get our group of seven students.

Next, continuing with this sequence:
- The second set of digits (continuing from row 2, if needed)

However, we already got our first seven numbers from the initial process, so we don't need to continue further.

Thus the assigned list should be:
[8, 7, 2, 6, 5, 4, 1]

Therefore, students are assigned as follows:
- 8,
- 7,
- 2,
- 6,
- 5,
- 4,
- 1

Thus, the first seven students to be assigned to the technique 1 group are 8, 7, 2, 6, 5, 4, and 1.

Therefore, the correct list corresponding to our result is:
[tex]$8, 7, 2, 6, 5, 4, 1$[/tex]

So, the correct option is:
[tex]\[ 8, 7, 2, 6, 5, 4, 1 \][/tex]

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