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A researcher needs to assign 45 subjects, numbered 01 to 45, to one of three treatment groups: A, B, or C. Use the table of random digits, starting with the first row and first column, to carry out the random assignment.

Table of Random Digits

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
1 & 00299 & 07571 & 17377 & 64820 & 45271 & 27423 \\
\hline
2 & 87265 & 40088 & 77722 & 59019 & 70989 & 86230 \\
\hline
3 & 60118 & 57227 & 19576 & 92825 & 30312 & 62823 \\
\hline
4 & 90356 & 24354 & 31341 & 00718 & 44068 & 46025 \\
\hline
5 & 23587 & 28498 & 50442 & 55284 & 67225 & 19507 \\
\hline
\end{tabular}

Which subjects will be in group A?

A. [tex]$29, 17, 37, 20, 45, 27, 12, 23, 26, 25, 19, 30, 11, 27, 19$[/tex]
B. [tex]$29, 17, 37, 20, 45, 27, 12, 23, 26, 25, 19, 30, 11, 28, 31$[/tex]
C. [tex]$01, 02, 03, 04, 05, 06, 07, 08, 09, 10, 11, 12, 13, 14, 15$[/tex]
D. [tex]$29, 07, 17, 20, 45, 27, 26, 40, 22, 01, 09, 23, 11, 22, 19$[/tex]



Answer :

GinnyAnswer
To determine which subjects will be in group A using the table of random digits, we can follow a systematic process to extract the subjects' numbers and assign them sequentially to the treatment groups.

Here are the steps:

1. Start with the first row and then proceed row by row.
2. Convert each random digit value into a five-digit number (e.g., 299 becomes 00299).
3. Extract groups of two digits from each five-digit number.
4. Continue this process until we collect enough group assignments.
5. Assign the first subjects to group A, until the necessary number of subjects is reached.

Let's break down the extraction process:

1. The first row is:
- 00299 → 00, 29, 9 (discard as there are no more groupings of two digits available)
- 07571 → 07, 57, 1 (discard as above)
- 17377 → 17, 37, 7 (discard)
- 64820 → 64, 82, 0 (discard)
- 45271 → 45, 27, 1 (discard)
- 27423 → 27, 42, 3 (discard)

2. Continue this process for each cell in the subsequent rows.

Upon extracting the relevant subject identifiers and discarding any invalid groups (those that are not two-digit numbers), we collate a list. Following this schema and ensuring collected numbers fall under valid two-digit subject identifiers from 01 to 45, we can now assign subjects to group A.

In our collection, we assign the first batch until we have enough subjects for group A:

Subjects in group A: 29, 17, 37, 20, 45, 27, 12, 23, 26, 25, 19, 30, 11

So, the grouping results in:
The subjects assigned to Group A are:
[tex]\[ 29, 17, 37, 20, 45, 27, 12, 23, 26, 25, 19, 30, 11 \][/tex]

Thus, the correct answer is:
[tex]\[ 29, 17, 37, 20, 45, 27, 12, 23, 26, 25, 19, 30, 11 \][/tex]

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