The Mechanical Engineering program is accredited by the Engineering Accreditation Commission of ABET, 

The undergraduate Mechanical Engineering program's enrollment and degree data are available here

ABET is recognized by the Council on Higher Education Accreditation and accredits degree programs, not institutions.

UMass Dartmouth has full accreditation by the Commission on Institutions of Higher Education (CIHE) of the New England Association of Schools and Colleges (NEASC).