Question: AQ2. Quality Control 18 marks) The quality inspector at a company Deals to make sure that the dune pe for Elling bottles with soft drinks

AQ2. Quality Control 18 marks) The quality inspector at a company Deals to make sure that the dune pe for Elling bottles with soft drinks working properly. Every bour the immeetos lakes a random sample of six bottles (n = 6) and measures the volume in ml) of the soft drink fill in eich bottle. The following table shows the statistics on 16 such samples. Sample Mean Range Sample Mean Range 1 9 100.9 2 404.2 P3 10 106.2 18 3 106.0 18.5 10. 16.5 1 398.1 12 394.5 212 5 396.5 15.8 394.9 13 14 16.9 15.2 6 7 395.1 395.4 406.2 399.5 106. 12.4 15 18.6 12.5 16 391.7 13.7 1. 2 marks Please fill in men and range for Sample 1. given the following observations for Sample 1 3 Observation # 1 2 Observation (nl) 398.2 395.5 1 5 103.5 395.0 4122 394.4 2 4 marks Please fill in the following table for UCL and LCL of main chart and range chart. Keep your results to 3 decimal places. Chart | UCL (ml) LCL (ml) Mean Range 3. & marks Draw both the mean and range charts. Based on the control charts, what conclusion can you drew about the process, and what suggestion can you make? 4. 4 marks It has been specified that the filling volume should fall between 30 ml and 120 ml. Is the process capable of meeting the specification? Justify your
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