Question: This is a follow-up on Problem 4. Use the information given in Problem 4.

a. What is the probability of a Type I error?
b. If we are to be given a set of assumed mean length of stay values (in months), 14.0, 14.5, 15.0, 15.5, 16.0, 16.5, 17.0, 17.5, 18.0, 18.5, 19.0, what are the corresponding Type II error and power for each of the given assumed mean length of stay?
c. Plot the power curve? What do we observed in this plot? Explain.