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DUI Simulator To illustrate the effects of driving under

Chapter 4, Problem 15AYU

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QUESTION:

Problem 15AYU

Problem

DUI Simulator 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.

Subject

1

2

3

4

5

6

7

8

9

Normal, Xi

4.47

4.24

4.58

4.65

4.31

4.80

4.55

5.00

4.79

Impaired, Yi

5.77

5.67

5.51

5.32

5.83

5.49

5.23

5.61

5.63

(a) Whether the student had unimpaired vision or wore goggles first was randomly selected. Why is this a good idea in designing the experiment?

(b) 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.”

Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.

Questions & Answers

QUESTION:

Problem 15AYU

Problem

DUI Simulator 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.

Subject

1

2

3

4

5

6

7

8

9

Normal, Xi

4.47

4.24

4.58

4.65

4.31

4.80

4.55

5.00

4.79

Impaired, Yi

5.77

5.67

5.51

5.32

5.83

5.49

5.23

5.61

5.63

(a) Whether the student had unimpaired vision or wore goggles first was randomly selected. Why is this a good idea in designing the experiment?

(b) 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.”

Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.

ANSWER:

Answer :

Step 1:  

                The given information states that the effects of driving under the influence (DUI) of alcohol, a police officer brought a DUI simulator to a local high school.

   

Subject      :

1

2

3

4

5

6

7

8

9

Normal, Xi:

4.47

4.24

4.58

4.65

4.31

4.8

4.55

5

4.79

Impaired, Yi:

5.77

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