In an SPC application 35 samples are taken with each constitute 6 items. The average of the sample averages is found to be 23.8, and the average of the sample ranges is found to be 0.4. a) For 3σ limits, find the values for central line and control limits for x_bar and R chart. b) What is the probability that the sample mean falls out of control limits even though the process under control? c) What is the probability that four of the six consecutive points falls at the upper side of central line when the process under control? d) Find the average run length (ARL0) for this process.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.