For each of the following statements say whether they are true or false and explain why.
(a) If training is truly unrelated to stress (Cortisol) levels, a larger study would have more power than a smaller one.
(b) Changing the value of a will affect the P-value of the test.
(c) Consider a test to compare the number of escape attempts for trained and untrained cats. If training is really associated with fewer escape attempts, we would have a better chance of detecting this relationship by choosing a small a rather than a large one.
(d) As in (c) above, consider a test to compare the mean number of escape attempts for trained and untrained cats. If trained cats try to escape less than untrained cats, on average, we would have a better chance of detecting this difference if we studied more cats.
(e) A two-sample / test comparing the number of escape attempts in this study had a P-value of 0.022. If α = 0.01 it is possible that we could be making a Type I error with these data.