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).

1

2

3

4

5

Right Arm

102

101

94

79

79

Left Arm

175

169

182

146

144

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.

Gasoline

Car

1

2

3

4

1

26

28

31

31

2

24

25

28

27

3

25

25

28

26

  • 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?
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