11. A packing company considers hiring a national training consultant to try and improve the productivity rate of the packing line. The national consultant agrees to work with 18 employees as part of a "free trial" so the company can decide if they want to hire the consultant full-time. The training program will only be implemented if it results in a mean of more than 50 boxes packed per day per employee. The manager will conduct a significance test using =0.05.

a) Write an appropriate hypotheses and define any parameters.

b) In this context, which do you consider to be more serious - type I or type II error? Explain.

c) After the trial produced inconclusive results the manager decided to test the training program again. Describe two changes he could make to increase the power of the test and explain the disadvantages of each.