Question

a researcher wants to explore the relationship between two variables: time 1 and time 2. select one answer. 10 points
time 1 time 2
421 400
390 383
459 436
384 362
403 392
a group of student athletes was training for an obstacle course event by practicing a variety of exercises. their coach wanted to know if the exercises were in fact related to their time to complete the obstacle course. time 1 was each athletes time (in seconds) for 20 repetitions of shuttle runs (running back and forth between 2 cones placed 25 meters apart) during training. time 2 was the same athletes time (in seconds) to complete the obstacle course during the competition. if the coach wants to see if there was an association between time to complete 20 shuttle runs during training (in seconds) and the time to complete the obstacle course during competition (in seconds), which of the following is the appropriate inference method to analyze these data?
a. two independent samples
b. matched pairs
c. inference for regression

Explanation:

The coach wants to explore the relationship between two related variables (training - time and competition - time for the same athletes). Matched - pairs analysis is used when we have two related measurements on the same experimental units. Here, the experimental units are the student - athletes, and we have two related time measurements for each athlete. Inference for regression is more about predicting one variable from another using a regression model. Two independent samples are used when we have measurements from two completely separate groups. Since the data is paired (same athletes for both time measurements), matched pairs is the appropriate method.

Answer:

B. Matched pairs