A researcher conducted a study to determine whether a new type of physical therapy would help people recovering from knee injuries. The study included 10 patients, and 5 physical therapists. Two patients were assigned to each physical therapist.   (a) Describe how the researcher could conduct a matched pairs experiment to compare the new physical therapy approach vs. an older physical therapy approach on these 10 patients. Who/what are the pairs in this experiment?   (b) Suggest a response variable that the researcher can use for this study. Make sure to give a specific example, and explain how it can be quantified.   (c) Explain, in the context of this study, the benefit of conducting the experiment using matched pairs instead of as a completely randomized design. Use one or two sentences.

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A researcher conducted a study to determine whether a new type of physical therapy would help people recovering from knee injuries. The study included 10 patients, and 5 physical therapists. Two patients were assigned to each physical therapist.  

(a) Describe how the researcher could conduct a matched pairs experiment to compare the new physical therapy approach vs. an older physical therapy approach on these 10 patients. Who/what are the pairs in this experiment? 

 (b) Suggest a response variable that the researcher can use for this study. Make sure to give a specific example, and explain how it can be quantified.  

(c) Explain, in the context of this study, the benefit of conducting the experiment using matched pairs instead of as a completely randomized design. Use one or two sentences. 

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