1. Consider the following research topic: The goal is to determine if there is a statistically significant increase in the average weight gain of anorexic patients for a new treatment (N ) when compared to a standard treatment (S).

(a) State the null hypothesis.

(b) State the alternative hypothesis.

(c) Interpret a Type I error in terms of the problem.

(d) Interpret a Type II error in terms of the problem.

(e) If we wanted to minimize the probability of a Type I error, what action should we take?

(f) If we wanted to minimize the probability of a Type II error, what action should we take?