As part of a company's training program, participants learn how to conduct analyses of clients' insurability. The goal is for the participants to achieve a time in the range of 30- 45 minutes. Test results for 3 participants were: Armand, a mean of 38 minutes and a standard deviation of 3 minutes, Jerry a mean of 37 minutes and a standard deviation of 2.5 minutes, and Melissa a mean of 37.5 minutes and a standard deviation of 1.8 minutes.
a. Which of the participants would you judge to be capable? Explain
b. Can the value of the Cpk exceed the value of Cp for a given participant? Explain.