Calculate \(\overline{\bar{x}}\) and \(\bar{R}\) for the data of part (c) of Exercise 15.17 and use these values to construct the central lines and three-sigma control limits for new \(\bar{x}\) and \(R\) charts to be used in the control of the heights of the shock shafts.

Data From Exercise 15.17

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15.17 The specifications require that the height of shock shafts have = 1.6 meters and = 0.03 meters. (a) Use the specifications to calculate a central line and three-sigma control limits for an x chart with n = 5. (b) Use the specifications to calculate a central line and three-sigma control limits for an R chart with n = 5.