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A research group is comparing the learning outcomes of students who are taught a lesson using four different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researchers will randomly place the students into five equally sized treatment groups suitable for comparison, four of which will receive a different teaching technique and one of which will remain a control group.

Which design is the most appropriate for this experiment?

A Randomly number each person with 1, 2, 3, 4, or 5. Assign the students to the treatment groups based on their label.
B Select a student, and identify the first digit reading from left to right on a random number table. If the first digit is 1 or 2, assign that student to the technique 1 group. Similarly, digits 3 or 4, 5 or 6, 7or 8, and 9 or 0 go with the technique 2, technique 3, technique 4, and control groups, respectively. Repeat this process for each student.
C Number each student from 1 to 75. Reading the numbers from left to right on a random number table, identify 60 unique numbers from 1 to 75. Assign the students whose labels are the first 15 numbers to the technique 1 group. Assign the students whose labels are the second 15 numbers to the technique 2 group. Repeat this process two more times to assign the technique 3 and technique 4 groups. Finally, assign the remaining students to the control group.
D Number each student from 00 to 74. Reading the numbers from left to right on a table of random numbers and looking at two digits at a time, identify 60 unique two-digit numbers from 00 to 74. Assign the students whose labels are the first 15 numbers to the technique 1 group. Assign the students whose labels are the second 15 numbers to the technique 2 group. Repeat this process two more times to assign the technique 3 and technique 4 groups. Finally, assign the remaining students to the control group.

User Ninjanoel
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4.8k points

2 Answers

6 votes

Final answer:

Option C is the most appropriate design for this experiment, which involves randomly assigning students to different treatment groups based on a table of random numbers.

Step-by-step explanation:

The most appropriate design for this experiment would be option C, which involves randomly assigning students to different treatment groups based on a table of random numbers. This design ensures that each student has an equal chance of being placed in any of the treatment groups. Here is a step-by-step explanation of how option C works:

  1. Number each student from 1 to 75.
  2. Read the numbers from left to right on a table of random numbers.
  3. Identify 60 unique numbers from 1 to 75.
  4. Assign the students whose labels match the first 15 numbers to technique 1 group.
  5. Assign the students whose labels match the second 15 numbers to technique 2 group.
  6. Repeat the process two more times to assign students to technique 3 and technique 4 groups.
  7. Finally, assign the remaining students to the control group.

User LeartS
by
5.7k points
6 votes

Answer:

D

Step-by-step explanation:

edge 2021

User Leompeters
by
6.0k points
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