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To illustrate the effects of driving under the influence​ (DUI) of​ alcohol, a police officer brought...

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. Complete parts​ (a) and​ (b).​Note: A normal probability plot and box plot of the data indicate that the differences are approximately normally distributed with no outliers.

Use a​ 95% confidence interval to test if there is a difference in braking time with impaired vision and normal vision where the differences are computed as​ "impaired minus​ normal."

subject 1. 2. 3. 4. 5. 6. 7. 8. 9.

normalX 4.49. 4.34. 4.58. 4.65. 4.31. 4.80. 4.59. 5.00. 4.79.  

impairedY. 5.77. 5.85. 5.45. 5.29. 5.90. 5.49. 5.23. 5.63. 5.63.

The lower bound is ?.

the upper bound is ?.

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