Question: Problem 1. Ten clips are produced each day and the diameter of each clip is critical and must be controlled, the range and mean of

Problem 1. Ten clips are produced each day and the diameter of each clip is critical and must be controlled, the range and mean of this diameter are: a) What is the value of X ? b) What is the value of R ? c) What are the UCLX X L LCL X using 3 ? d) Where are the UCLR and LCLR using 3 ? e) If the true diameter mean should be 155mm and you want this as your centre line, what are the new UCL X and LCLX ? Question 2: A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, four units of output were sampled from each machine, with the following results: a) Using the factors for three sigma control limits, what are the x-bar chart upper and lower control limits
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