Alumni Coffee sells coffee in special university-branded cans. The cans are sold for $15.00 per can plus

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Question:

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