A researcher randomly selected 30 people to participate in a study to investigate which of two materials, A or B, used in the heels of sneakers will last longer. The researcher is considering two design types for the study.

Design 1: Randomly assign 15 participants to wear sneakers with material A on their left feet and material B on their right feet. The remaining participants will wear sneakers with material B on their left feet and material A on their right feet.
Design 2: Randomly assign 15 participants to wear sneakers with material A on both feet and the remaining participants to wear sneakers with material B on both feet.
Which of the following best describes each design?

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Answer:

Design 1

Step-by-step explanation:

Design one would work better because the students get to see both materials (each on one foot) and if they do the same things each day with both feet, they can test how the material works with the activity...If that makes sense

The question is an illustration of a random selection.

The descriptions of the designs are:

  • Design 1 is a matched pair design
  • Design 2 is a completely randomized design.

Design 1

From the question, we understand that:

  • 15 participants wear material A on the left feet, and material B on the right feet.
  • The other 15 wear material B on the left feet, and material A on the right feet.

The above description is a matched pair design, because half of the participants gets randomly assigned to material A and B, while the other half gets automatically assigned to the remaining materials.

Design 2

From the question, we understand that:

  • 15 participants wear material A on both feet
  • The other 15 wear material B on both feet

The above description is a completely randomized design, because half of the participants gets randomly assigned to material A, while the other half gets randomly assigned to material B.

Read more about random selections at:

https://brainly.com/question/10678373