Final answer:
The puzzle is true. Using the clues given, we determine the roles and work timings of four team members by process of elimination, resulting in Paul as the administrator starting at 9 am, Corey as the communications worker starting at 8 am, Lee as the analyst starting at 9 am, and Sam as the accountant starting at 8 am.
Step-by-step explanation:
The given information points to a logic puzzle where roles and work timings need to be matched to four individuals. Paul, we know, is an administrator and therefore cannot be starting at 8 am since neither an accountant nor a communications role can be attributed to him.
We also know that Corey is not an administrator, so by elimination, he must be the accountant or the one working in communications and starts at 8 am. Lee starts at 9 am, which means Lee is not the accountant or the communications worker. Sam does not work in communications, which means Corey must be the one in communications (as it's an 8 am start role and we're told Lee starts at 9 am).
Therefore, Corey starts at 8 am as the communications worker, leaving the accountant role starting at 8 am to be the remaining person, Sam. By elimination, Lee is the analyst who starts at 9 am and Paul, being the administrator, also starts at 9 am. This leaves Paul as the administrator, Corey as the communications worker, Lee as the analyst, and Sam as the accountant.