High School

A school counselor wants to compare the effectiveness of an online SAT preparation program with an in-person SAT preparation class. For an experiment, the counselor recruits 30 students who have already taken the SAT once. The response variable will be the improvement in SAT score.

Design an experiment that uses a completely randomized design to investigate this question.

Answer :

Final answer:

To compare the effectiveness of an online SAT prep program with in-person classes, randomly assign 30 students who have taken the SAT before into two groups. One group will use the online program, the other will attend in-person classes. After a set time, the students retake the SAT and the difference in scores is used to determine which method is more effective.

Explanation:

In this particular scenario, the school counselor can set up a completely randomized design experiment as follows: Firstly, identify the 30 students (subjects) who have taken the SAT before. Randomly assign these students into two equal groups of 15. One group (experimental group) will use the online SAT preparation program while the other group (control group) will attend the in-person SAT preparation class. The random assignment is critical in order to limit the impact of lurking variables such as prior knowledge, learning style, motivation, etc.

After a set period of time, both groups retake the SAT. The response variable would be the improvement in the SAT score from the initial test, which is calculated as the difference between the post-preparation SAT score and the initial SAT score for each student.

Once the data is collected, perform a statistical analysis to determine if there is a significant difference in the improvement of SAT scores between the two groups. If there is a significant difference, this could suggest the effectiveness of one method over the other. Remember to consider the ethics involved throughout the process, like providing proper consent and ensuring neutrality.

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