A sportswear manufacturer would like to conduct a matched pairs experiment to compare two new models of running shoes to determine which is better for track and field athletes running the 1500-meter race. Twenty elite runners volunteer to participate in the experiment, which is to be conducted in one day on an outdoor track. Explain how a matched pairs experiment should be conducted to compare the two brands of running shoes. Be sure to explain the role of randomization, and why it is important in this experiment
