Alumni Coffee sells coffee in special university-branded cans. The cans are sold for $15.00 per can plus shipping. Because of the alumni loyalty nature of the coffee cans, an effort is made to insure each can holds a minimum of 12 oz. Recently, you’ve decided to look at the can filling line. It seems that the cost of each can has gone up as extra coffee is ending up in each can.
A). Develop a cumulative sum analysis using a target of 12.0. Use an h=5 and k=.5.
B). Could the line actually be set at 12.0? Explain.
C). Suppose you interview the filling machine operator and that individual tells you that their instructions were to set the process at a mean of 12.2. Evaluate this claim.

Data:

Coffee fills

12.489

12.346

12.338

12.640

12.240

12.460

12.114

12.527

12.078

12.278

12.449

12.169

12.197

12.489

12.338

12.238

12.556

12.501

12.369

12.221

12.431

12.095

12.361

12.909

12.222