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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