I would recommend a better analysis of the data on hand. Aside from the points outside the UCL, there are a number of shifts occurring within the data that are ignored by just throwing all the data into one baseline average and UCL. At the very least, we should throw the obvious outliers out (the ones above the UCL) and recalc the average and control limits to see if the remaining data are in control. Eyeballing the data indicate several likely shifts where there are seven in a row above average / below average. Another piece is the termination of data at zero and it appears to be a highly skewed distribution. This is still okay for SPC (SPC does not require normality) but we may better understand the data by understanding its distribution, perhaps by taking the logarithm of the data.

True, I agree on lets find out about the process. But since someone paid to gather this data, let's milk everything we can from it.