It is known from Phase I data that we have 40 defects per 1000 board.(a) One engineer suggests to make a quality check every hour by selecting 100 boards, how to construct a monitoring chart (CL = ? UCL = ? LCL = ?)?(b) How many boards should be checked at each sampling hour in order to obtain a positive lower control limit?(c) One month later, this engineer decides to check 400 boards at each sampling hour. Under this new sampling strategy, how do you suggest for continuously monitoring such a process (using a c chart or u chart?)(d) For (c), if a u chart is suggested, what is a convenient inspection unit that you like to suggest? What is the sample size? What are the control limits (CL, UCL, and LCL)? What are c0 and u0?(e) If a c chart is still used for (c), what are the control limits (CL, UCL, and LCL)? (f) If at time t, it is found that a sample of 400 boards has 22 defects, what are the monitoring statistics to be plotted in above charts of (d) and (e)?
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