24. ADVANCED TOPIC: An organizational psychologist predicts that assembly workers will have a somewhat higher level of job satisfaction if they are given a new kind of incentive program (that is, he predicts a medium effect size). On a standard job satisfaction scale, for assembly workers in this company overall, the distribution is normal, with  = 82 and  = 7. The psychologist plans to provide the new incentive program to 25 randomly selected assembly workers.

(a) What is the power of this study (using p 6 .01)?

(b) Sketch the distributions involved, showing the areas for alpha, beta, and power.

(c) Explain your answer to someone who understands hypothesis testing involving means of samples but has never learned about effect size or power.