1. An experiment would be the best method to investigate whether incorporating yoga into a workout routine improves racing times. The cycling team can randomly assign some members to a group that incorporates yoga into their workout routine and some members to a group that does not incorporate yoga. Then, they can compare the racing times of the two groups to see if there is a significant difference.
2. An experiment would also be the best method to compare the effects of a new experimental cancer drug with a cancer drug that has been used for at least 10 years. The researcher can randomly assign some patients to a group that receives the new drug and some patients to a group that receives the old drug. Then, they can compare the effectiveness of the two drugs in treating cancer.
In both cases, the experiment should be designed as a randomized controlled trial (RCT) to ensure that the results are unbiased. The participants should be randomly assigned to the groups to avoid any selection bias. The groups should be as similar as possible in terms of age, gender, and other relevant characteristics. The researchers should also use blinding procedures to ensure that the participants and the researchers are unaware of which group is receiving which treatment. This will help to reduce the risk of bias and increase the validity of the results.