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Suppose that we took 10 eager volunteers and we measured the time it takes a person...

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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