To determine whether a new drug designed to lower a person's heart rate is effective or not, Dr. Johnson gives the medicine to a random sample of 100 patients with Rapid Heart Rhythm (RHR) and obtains a sample mean of 128. Dr. Johnson knows the heart rate of the population of individuals with RHR is 135 with a standard error of the mean = 4.

Complete parts a, b, and c.

a. What is the z-obtained value?

b. Use a one-tailed rejection region with a total alpha of 0.05. What z-critical value should you use?

c. What should Dr. Johnson conclude regarding her hypotheses?