A trainer at the running club believes that time to complete a one-mile run is related to running experience, in years. The scatterplots show, by training program, the relationship between running experience and running time for the 32 runner.

 

(d) Describe and compare the association between running experience and running time for the two training programs. 

(e) Suppose a runner is randomly selected from those in the study. For which program (C or D) is there a greater probability of selecting a runner that has more than 10 years of running experience given the running time for the one-mile run was at least 500 seconds? Interpret what this means in the context of the study. 

(f) Provide a recommendation to the president of the running club that describes how runners should be assigned to train with Program C or Program D based on running experience if the goal is to have a lower running time. Justify your answer based on the two scatterplots. Running Time

Running Time (seconds) Running Time (seconds) -099 550- 450- 3504 048 12 16 20 Running Experience (Years) 650- 550- 450- PROGRAM C 3504 PROGRAM D 4 8 12 16 20 Running Experience (Years)