16.1 Diameter_measure

Parts are manufactured whose critical dimension is a diameter that has specification limits given by 7.5 ± 0.1 mm. To measure this diameter, a micrometer is used with a resolution of up to thousandths of a millimetre.

The company which produces this part uses two standards on the suitability of the measurement process:

- Standard A: The variability of the measurement system must have a width, measured as 6 standard deviations, of less than 20% of the tolerance interval.
- Standard B: The variability of the measurement system must have a width, defined as 4 standard deviations, of less than 15% of the tolerance interval.

To verify if either of these rules are met and whether the measurement process is working properly, a sample of 10 parts of recent production is taken and 3 operators measure 3 times each of them in randomorder and without knowing which part they are measuring. The results are stored in file DIAMETER_MEASURE.MTW, in such a way that each row contains the 9 measurements made for each piece:

Column | Content |

C1 C2-C4 C5-C7 C8-C10 | Number of the part measured Measures taken by Carlos of each of the parts Measures taken by Mikel Measures taken by Pablo |

Does the measurement system work correctly? Does it meet any of the two above-mentioned standards?

The data are not organized in an appropriate way so that the study can be carried out. ...

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