Webster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped.  Webster is concerned whether the filling process for tubes of caulking is in statistical control.  The process should be centered on 8 ounces per tube.  Six samples of 3 tubes are taken and each tube is weighed in ounces.     Tube number Sample 1 2 3   1 7.68 7.81 8.11   2 8.18 7.99 8.06   3 7.89 7.93 8.09   4 8.16 7.97 8.07   5 7.81 8.14 7.88   6 8.12 8.13 8.14   Develop upper and lower control limits for the X-bar chart. Develop upper and lower control limits for the R-chart. Construct the X-bar chart.  Construct the R chart. Is the process under control? Explain.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.