1. Is blood pressure the same for both arms? Listed below are BP measurements (mm Hg) taken from the right and left arms of the same woman. Use a level of significance 5% to test for a difference between the measurements from the two arms (Hint: Paired T-TEST design).

2. Each of three cars is driven with each of four different brands of gasoline. The number of miles per gallon driven for each of the ab = (3)(4) = 12 different combinations is recorded below.

• Test the hypothesis that we can expect the same mileage for each of these four brands of gasoline at α = 0.01.
• Test the hypothesis that we can expect the same mileage for each of these three models of car at α = 0.01.
• Is there any evidence of interaction between gasoline brands and type of cards in determining mileage driven at α = 0.01?