Answer:
The answer is A: Yes, all conditions have been met.
Random: Stated
Independent: None of the samples are greater then 10 percent of total population
Normal: n>30 so its assumed to be normal.
Sample sizes don't have to be the same unless it is a Matched pair test.
Explanation:
Depending on what happens. Note that his nose didn't grow shorter even if he said the truth in the beginning of the story. When he says "and now my nose will grow" it wouldn't grow for it as being a lie, it would grow if he JUST told a lie, and it wouldn't have become smaller either
hope this helps