Question

# 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 boxplot of the data indicate that the differences are approximately normally distributed with no outliers.

Subject              Normal, Xi         Impaired, Yi

1                        4.47                   5.77

2                        4.24                   5.67

3                        4.58                   5.45

4                        4.65                   5.32

5                        4.31                   5.83

6                        4.80                   5.49

7                        4.59                   5.23

8                        5.00                   5.63

9                        4.79                   5.63

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

A. This is a good idea in designing the experiment because it controls for any​ "learning" that may occur in using the simulator.

B. This is a good idea in designing the experiment because the sample size is not large enough.

C. This is a good idea in designing the experiment because reaction times are different.

2. 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."

The lower bound is:____

The upper bound is:____

​           (Round to the nearest thousandth as​ needed.)

3. State the appropriate conclusion. Choose the correct answer below.

A. There is insufficient evidence to conclude there is a difference in braking time with impaired vision and normal vision.

B. There is sufficient evidence to conclude there is a difference in braking time with impaired vision and normal vision.

The statistical software output for this problem is:

Hence,

1. This is a good idea in designing the experiment because it controls for any​ "learning" that may occur in using the simulator. Option A is correct.

2. Lower bound = 0.677

Upper bound = 1.232

3. Option B is correct.

#### Earn Coins

Coins can be redeemed for fabulous gifts.