Final answer:
Robert uses the reflective listening skill when he paraphrases Jane's statement, showing he understands she is looking forward to an undisturbed vacation.
Step-by-step explanation:
When Robert responds, "Sounds like you're looking forward to your vacation," he is using the reflective listening skill. Reflective listening involves restating or paraphrasing what the speaker has said to demonstrate understanding of their message. It allows the listener to confirm their comprehension of the speaker's words and often their underlying feelings or intentions. In this case, Robert reflects on Jane's statement about not wanting any disturbances, indicating his understanding that she desires a peaceful and uninterrupted vacation.