The data set shows72 samples (for 72 hours) of size n=7 collected to test the production process of a filling machine for soft drink bottling.The target filling is 20 fluid ounces.Select a random sample of 28 hours of data.[Feel free to do it manually, if you cannot use the sample selection procedure in the software.] Using the sample data, accomplish the following:Construct an xbarchart.Need to use graph paper.Calculate and plot the centerline and upper and lower control limits for the charts.Calculate and plot the A, B and C zone boundaries of the x-bar chart. Plot the 24 sample means on the barchart.Based on bar findings, is the process under statistical control?Explain and justify your answer. Construct an R-chart. Need to use graph paper.Calculate and plot the centerline and upper and lower control limits for the charts.Calculate and plot the A, B and C zone boundaries of the R-chart.Plot the sample ranges on the R-chart.Analyze the pattern of the R-chart.Based on R-chart findings, is the process under statistical control?Explain and justify your answer.Theoretically, what is the difference between x-bar chart and R-chart? Explain briefly.How are they used?That is, what is their purpose? Explain briefly. Compare the findings from your x-bar chart and R-chart.Explain why rational sub-groupings are used in constructing control charts?What are the major findings from the study? Explain briefly.What are your conclusions from the study?Explain briefly.