10
QuizMultiple Choice

Additional Principles of Experimental Design — Quiz

Question 10 • Statistics and Probability

A therapist is studying the effects of meditation and yoga on reducing stress. He offers the treatments to a random sample of 30 of his patients and lets them choose which treatment they want to use. Which of the following statements is not true about this experiment?

Answer
A
The therapist used a random sample; however, the patients may choose which treatment they prefer, and their stress may be reduced due to their preference instead of the treatment.
B
The therapist did not use random assignment; therefore, the variability between the patients is not evened out, and he will not be able to tell which treatment is more effective.
C
The therapist used a random sample of 30 of his patients; therefore, he will be able to tell which treatment is more effective, yoga or meditation, in reducing stress.
D
The therapist let the patients choose the treatment; therefore, he will not be able to tell which treatment is more effective.

Explanation

A random sample helps the therapist generalize results to his patient population, but it does not show which treatment caused a difference. Because patients choose their treatment, the groups may differ in ways that affect stress, and preference itself may influence outcomes. Randomly assigning patients to yoga or meditation would help balance those differences. Therefore, the statement claiming the random sample lets him determine which treatment is more effective is not true.

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