Final answer:
Slime production is associated with Staphylococcus epidermidis, which is known for causing nosocomial infections related to medical devices due to its ability to form biofilms.
Step-by-step explanation:
Slime production is most often associated with Staphylococcus epidermidis (option a), a species that is known to be commonly involved in nosocomial infections. These infections are typically transmitted via medical devices implanted or inserted into the body. S. epidermidis is a major contributor to biofilms, communities of microorganisms that adhere to surfaces, making it particularly problematic in settings involving indwelling devices such as catheters and prosthetics. This species produces a slimy biofilm which allows it to adhere to surfaces and shield itself from the host immune response and antibiotic treatment. S. aureus, another Staphylococcus species, although virulent and capable of producing enzymes and toxins like coagulase and Protein A, is not typically identified as being a slime producer in the same context as S. epidermidis.