a local athletic facility offers a four - week training course, hoping to increase athletes’ running speeds…

a local athletic facility offers a four - week training course, hoping to increase athletes’ running speeds. thirty - five volunteer athletes are timed, in seconds, running a 50 - yard dash before the training program begins and then again after the program is complete. the difference in running times (before training - after training) is calculated for each athlete. are the conditions for inference met?\nno. the athletes who volunteered for this study were not randomly assigned a treatment order.\nno. the 10% condition is not met.\nno. the normal/large sample condition is not met because the sample size is too small.\nyes. all conditions are met.

a local athletic facility offers a four - week training course, hoping to increase athletes’ running speeds. thirty - five volunteer athletes are timed, in seconds, running a 50 - yard dash before the training program begins and then again after the program is complete. the difference in running times (before training - after training) is calculated for each athlete. are the conditions for inference met?\nno. the athletes who volunteered for this study were not randomly assigned a treatment order.\nno. the 10% condition is not met.\nno. the normal/large sample condition is not met because the sample size is too small.\nyes. all conditions are met.

Answer

Brief Explanations:

  1. Randomness: Random assignment of treatment order (e.g., which group starts with pre - training and which with post - training) is important for a valid experiment. Here, the athletes are volunteers and there's no mention of random treatment order assignment.
  2. 10% condition: We don't know the population size, but a sample of 35 athletes is likely less than 10% of the population of all athletes, so this isn't the main issue.
  3. Normal/Large Sample condition: A sample size of (n = 35) is generally considered large enough for the Central Limit Theorem to apply in many cases when dealing with means. However, the lack of random treatment order assignment is a problem.

Answer:

No. The athletes who volunteered for this study were not randomly assigned a treatment order.