What are these two standards?

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ISO.org provides:

 

ISO/IEC 17025 enables laboratories to demonstrate that they operate competently and generate valid results, thereby promoting confidence in their work both nationally and around the world. 

 

It also helps facilitate cooperation between laboratories and other bodies by generating wider acceptance of results between countries. 

 

Test reports and certificates can be accepted from one country to another without the need for further testing, which, in turn, improves international trade. 

 

 

ISO/IEC 17020:2012 specifies requirements for the competence of bodies performing inspection and for the impartiality and consistency of their inspection activities.

 

It applies to inspection bodies of type A, B or C, as defined in ISO/IEC 17020:2012, and it applies to any stage of inspection.