The winner of the competition on the best technologies in the industry: mathematical support and conditions for holding the competition

Introduction. The problem and the goal. The article is devoted to the search for mathematical support and conditions for conducting a competition in order to identify the winner and the best technology in the industry (economics, education, medicine, other fields and experimental sciences), the research results of which fit the framework of independent and independent samples. It is a continuation of the study published in the author's earlier works.