Final answer:
The administrator and the board want to increase the level of involvement among management personnel in quality assessment and assurance in a business context.
Step-by-step explanation:
The subject of the question is business. The administrator and the board want to increase the level of involvement among management personnel in quality assessment and assurance. This means that the administrator and the board want the management personnel to play a more active role in evaluating and ensuring the quality of the organization's work.