The correct answer is - When studying mythology, I learned about several gods and goddesses: Zeus, Apollo, Aphrodite, Hermes, and Hercules.
This is the only sentence which is punctuated correctly because the first part (before the list) ends abruptly; it is obvious that something needs to be placed there. In this case, that is a colon.
The other sentences have leading words (particularly, such as, were) that don't require a colon after them.
Answer:
My colleagues A, B, and I DESIGNED an experiment to test the impact on worker perceptions of well being when domesticated cats ARE ALLOWED to freely roam various work environments in which the subjects were normally employed. Their test environments WHICH WERE SELECTEE for our experiments: a law office, a laboratory in which experiments ARE PERFORMED using laboratory rats, and an automobile assembly line. One-way mirrored glass pannels WERE INSTALLED to allow video cameras to record the activity and researchers to observe the same and take notes. We secretly inserted observers directly into the work environment. These observers posed as outside contractors and WORE UNIFORM as a maintenance and cleaning staff, coffee and water service vendors, and similar suporting personnel. The observers DREW from the students who MATRICULATED into the experimental psychology courses from which this STUDY WAS DEVELOPED as an example of such studies generally.
