Ms. G is a college track coach who is curious about the appropriate amount of distance training for her athletes. Ms. G decides to run an experiment. She randomly divides her runners into two groups. The first group does about 20 miles of distance training per week, and the second group does about 30 miles of distance training per week. At the end of the two weeks, all of the runners compete in a mile run, yielding the results below. Based on the center and variability of each distribution, what inferences can you draw about the
two populations? By visual inspection, which group would you expect to have a greater MAD based on the plots?

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)