Question: AQ2. Quality Control (18 marks] The quality inspector at a company needs to make sure that the machine used for filling in bottles with soft

AQ2. Quality Control (18 marks] The quality

AQ2. Quality Control (18 marks] The quality inspector at a company needs to make sure that the machine used for filling in bottles with soft drink is working properly. Every hour the inspector takes a random sample of six bottles (n = 6) and measures the volume (in ml) of the soft drink filled in each bottle. The following table shows the statistics on 16 such samples. Range 19.7 13.8 16.5 Sample Mean Range Sample Mean 1 9 400.9 2 404.2 12.3 10 406.2 3 406.4 18.5 11 404.8 4. 398.1 10.4 12 394.5 5 396.5 15.8 13 394.9 6 395.1 16.9 14 399.5 7 395.4 12.4 15 406.4 8 406.2 12.5 16 394.7 21.2 9.9 15.2 18.6 13.7 1. [2 marks] Please fill in mean and range for Sample #1, given the following observations for Sample #1. 1 2 3 4 5 6 Observation # Observation (ml) 398.2 395.5 412.2 403.5 395.0 394.4 2. [4 marks] Please fill in the following table for UCL and LCL of mean chart and range chart. Keep your results to 3 decimal places. Chart UCL (ml) LCL (ml) Mean Range 3. (8 marks] Draw both the mean and range charts. Based on the control charts, what conclusion can you draw about the process, and what suggestion can you make? 4. (4 marks] It has been specified that the filling volume should fall between 380 ml and 420 ml. Is the process capable of meeting the specification? Justify your

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