Translation:I did not sleep on the plane.
没有 is often used to introduce a lack of something in the past. Compare with 你有没有睡觉？没有。
没有 is used to indicate negation in the past tense. Take a look at chinese grammar wiki.
Read Earliebirdie and Imnuts7 comments. They say 没有 is used to indicate negation in the past tense.
No. Earliebirdie and Imnuts7 state in their comments that 没有 is used to express negation in past tense actions.