The measurement of 85 automotive cables gave an arithmetic mean of the inner diameters of 3.51 mm and a standard deviation of 0.02 mm. The value required by the manufacturer is 3.5 upper/lower tolerance +0.04/ -0.12 It is requested : a. Calculate the capability coefficients Cp, Cpk and state whether or not the machine is capable of producing compliant parts, i.e. whether or not the data dispersion is well centred. If applicable, calculate the adjustment coefficient Cr. b. If scrap is obtained, state whether it is recoverable or non-recoverable and calculate the percentage of scrap. c. Plot the limits of the tolerance field and the distribution of the measured data (using mean and standard deviation).

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The measurement of 85 automotive cables gave an arithmetic mean of the inner diameters of 3.51 mm and a standard deviation of 0.02 mm.
The value required by the manufacturer is 3.5 upper/lower tolerance +0.04/ -0.12
It is requested :

a. Calculate the capability coefficients Cp, Cpk and state whether or not the machine is capable of producing compliant parts, i.e. whether or not the data dispersion is well centred. If applicable, calculate the adjustment coefficient Cr.
b. If scrap is obtained, state whether it is recoverable or non-recoverable and calculate the percentage of scrap.
c. Plot the limits of the tolerance field and the distribution of the measured data (using mean and standard deviation).

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