You have joined a mining company in a quality function. The company is mining spodumene ore and the following table gives the output in Z tons for a seven day operation. To utilize the equipment the company runs a three shift operation. The output is not satisfactory. For each day the company averages the output for the day's shifts and tracks this output. (You know you need at least 25 samples but you are eager to start.) The lower specification per shift is 21 tons and the upper specification per shift is 24 tons. What is the grand average in tons for all shifts for these seven days? [a] (two decimals) What is the center for the range? [b] (two decimals) What is the upper limit for the x-bar? [c] (two decimals) What is the short term sigma? [d] (two decimals) What is the long term sigma? [e] (two decimals) What is the Cpk using the short-term method? [f] (two decimals) Can this operation operate successfully? [g] (yes or no) Why does this Cpk appear strange? [h] (Answer with one of these, "it is not strange", "loo much variation", "range is too high", "grand average below lower specification")