Question: please answer all parts -- (15 marks) A local factory, Clarity Candies, produces popular candies. The owners are wondering if they could save product by

please answer all parts please answer all parts -- (15 marks) A local

-- (15 marks) A local factory, Clarity Candies, produces popular candies. The owners are wondering if they could save product by slightly lowering the amount of candies in each box. By reviewing another major product (a 454 gram ready-to-eat candy), the quality manager discovers that four boxes are routinely taken from the filling machine every 30 minutes and weighed. Data of approximately 2 hours of inspection are shown below: 2 4 3 456.0 456.0 452.8 5 456.0 456.0 453.0 455.0 455-5 460.0 456.5 456.5 455.5 456.0 456.0 454.0 453.0 455.0 455.0 455.0 454.5 a) (12 marks) Standard deviation is not known; you can assume three sigma control limits. Based on the data above, calculate sample means and ranges and the upper and lower control limits for the sample mean and the range. Is the process in control? Explain why or why not. b) (2 marks) The quality manager decides to check the process again and selects another four boxes and find the following weights: 455.0, 458.5, 461.0, and 456.5. Using the control limits calculated in part a), is the process in control? Explain why or why not. c) (1 mark) What type of chart would be used when only occurrences can be counted? Provide an example of a type of occurrence

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