1. The Chinese are an industrious

people.

2. Chinese people are an industrious people.

3. The Chinese people are an industrious people.

(What does #1 mean, #2 or #3?)

4. The Romans were strong.
5. The Roman were strong.
6. Roman people were strong.
7. The Roman people were strong.
(What is the difference among them? Which one is right, #4 or #5?)

1, 2, and 3 all mean the same thing, yes.

4, 6, and 7 are all correct and mean the same thing.

5 is not correct because "Roman" in this case seems to refer to a singular person, so it needs "was" for its verb.