1. Does preforming physical exercise allow people to fall asleep more quickly? A group of 8 individuals agreed to participate in an experiment where investigators measured the time it took for them to enter the REM stage of sleep without having done any physical activity that day. The next day individuals performed 1 hour of high-intensity interval graining and their times to fall asleep were again recorded. The time to reach REM sleep before and after completing physical activity are recorded below (in minutes). Use these results to test the claim that physical activity reduced the duration of falling asleep at a significance level of 0.05.

	1	2	3	4	5	6	7	8
Before	23	15	27	19	17	9	21	32
After	12	9	14	8	20	10	7	15
Difference	-11	-6	-13	-11	3	1	-14	-17

Note that the standard deviation of the differences (After - Before) is 7.21.

1. Because p-value > 0.05, we fail to reject H0 and conclude there is not sufficient evidence to support the claim that physical activity reduced the duration of falling asleep
2. Because p-value > 0.05, we reject H0 and conclude there is not sufficient evidence to support the claim that physical activity reduced the duration of falling asleep.
3. Because p-value < 0.05, we fail to reject H0 and conclude there is sufficient evidence to support the claim that physical activity reduced the duration of falling asleep.
4. Because p-value < 0.05, we reject H0 and conclude there is sufficient evidence to support the claim that physical activity reduced the duration of falling asleep.
5. Cannot be determined with the given information