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warm welcome to all my friends a very good morning good afternoon good evening this is the total quality management one class and Iamp;#39;m Ragunan insane Gupta from the ME Department IIT Kanpur and we are starting in the 29th lecture which would be the second last in the sixth week now you are discussing the charts and if you remember to recap for the last three four lectures we did discuss about the X bar charts the centre line for the X bar charts being the X double bar which is the expected value of the distribution from where you are taking then we had the concept of the are charts which was something to do with the range then we had something to do with the standard deviation of the sample where the information is known about the standard deviation of the population and not known so you consider that then we consider that depending on the coefficients now coefficients would be but what level of efficiency you you want or what is the level of confidence which you want yo