After inputting the data it is noted that X-Double Bar is 5.1 and that R-Bar is 1.08 Looking at the charts for the first part of the problem it is noticed that Samples 19 (6.12) and 21(5.973) are above the Upper Control Limit (5.89) of the X-Bar chart. For the R-Bar chart it is noted that Sample 18 (2.74) falls outside of the Upper Control Limit (2.472). By removing these samples, the following data and charts have changed.
Reviewing the updated data it is noted that the new X-Double Bar is 5.037 a decrease of .063 and the new R-Bar is now 1.057 which is down .026.
Removing the data for samples 18 for above the UCL for the R-Chart and 19 and 21 for being above the UCL for the X-chart there are some noted differences. Both the X-Double bar and the R-Bar have been lowered meanwhile on the X-chart the UCL and the LCL have slightly tightened up. On the R-chart the UCL and LCL have tightened up also coming down from 2.472 down to 2.413. By removing the samples that were outside the Upper Control limits all of the samples are now with in the acceptable range which brings the process into statistical control even though the Upper Control Limits and the Lower Control Limits have tightened up.