Suppose that we took 10 eager volunteers and we measured the time it takes a person to say the alphabet backwards. Then we gave each volunteer two alcoholic beverages over the course of 1 hour and asked them to do it again with the following results in seconds.
Volunteer 1 2 3 4 5 6 7 8 9 10
Straight 38 52 38 29 42 68 45 50 30 48
Alcohol 42 58 42 31 44 62 52 55 42 46
Perform a hypothesis test showing all steps to determine if there is evidence that there is a difference in the mean time it takes for the two conditions? Are there any potential problems with the design used or the assumptions necessary to do this hypothesis test?
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