In: Statistics and Probability
To illustrate the effects of driving under the influence (DUI) of alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine teenagers, the time (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded.
| 
 
  | 
 normal  | 
 impaired  | 
| 
 1  | 
 4.47  | 
 5.78  | 
| 
 2  | 
 4.34  | 
 5.65  | 
| 
 3  | 
 4.48  | 
 5.71  | 
| 
 4  | 
 4.67  | 
 5.21  | 
| 
 5  | 
 4.39  | 
 5.88  | 
| 
 6  | 
 4.72  | 
 5.43  | 
| 
 7  | 
 4.65  | 
 5.35  | 
| 
 8  | 
 5.98  | 
 5.53  | 
| 
 9  | 
 4.75  | 
 5.59  | 
Test the claim that there is a no difference in braking time with impaired vision and normal vision at the 0.05 level of significance
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