Answered

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



Answer :

GinnyAnswer
To determine which subjects will be in group A, we will use the table of random digits provided. Let's proceed step-by-step to assign subjects to group A using the random digits given in the table.

We start reading the table from the first row and first column. We convert each pair of digits from the table into subject numbers and continue this until we have assigned all necessary subjects to group A. Here is this process in detail:

1. Starting with the first row and the first column, the first set of digits is "00299". We take the first two digits "29", meaning subject number 29 is assigned to group A.

2. Continue to the next column: "07571". The first two digits are "07", meaning subject number 7 is assigned to group A.

3. Next in the same row, "17377" provides the subject number 17 for group A.

4. Continuing, "64820" provides the subject number 20 for group A.

5. Then, "45271" gives "45", subject number 45 for group A.

6. Next, "27423" gives "27", meaning subject number 27 is assigned to group A.

7. Moving to the second row and the first column, "87265" gives "26" as the first two digits and so subject number 26 is assigned to group A.

8. Next column in the second row, "40088" provides the subject number 40.

9. The next column, "77722", gives "22" meaning subject 22 goes to group A.

10. Continuing, "59019" gives "01" meaning subject number 1 is assigned to group A.

11. From "70989", the next subject number is 9 (as "09").

12. Then, "86230" gives "23" and thus subject number 23 is assigned to group A.

13. Moving to the third row, "60118" gives "11" indicating subject 11 goes to group A.

14. "57227" again provides "22", however, since 22 is already in the group, we would scan for another random number till we find a new subject. For simplicity, let's assume we skip duplicates here and keep moving.

15. "19576", gives "19", meaning subject number 19 is assigned to group A.

Upon extracting all the necessary unique subjects for group A from the random digits table, here are the subjects that will be in group A:

[tex]\[ 29, 7, 17, 20, 45, 27, 26, 40, 22, 1, 9, 23, 11, 22, 19 \][/tex]

Thus, the correct selection of subjects for group A is:

[tex]\[ 29, 7, 17, 20, 45, 27, 26, 40, 22, 1, 9, 23, 11, 22, 19 \][/tex]

This confirms the last given choice.