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.
Get Answers For Free
Most questions answered within 1 hours.