Question

# Subject 1 2 3 4 5 6 7 8 9 ​Normal, Upper X Subscript iXi 4.494.49...

 Subject ​Normal, Upper X Subscript iXi ​Impaired, Upper Y Subscript iYi 1 2 3 4 5 6 7 8 9 4.494.49 4.344.34 4.584.58 4.564.56 4.314.31 4.834.83 4.594.59 5.005.00 4.794.79 5.775.77 5.675.67 5.515.51 5.295.29 5.905.90 5.495.49 5.235.23 5.615.61 5.635.63

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.

Click the icon to view the data table.

​(a) Whether the student had the 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 reaction times are different.

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 it controls for any​ "learning" that may occur in using the simulator.

​(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."

The lower bound is

nothing.

The upper bound is

nothing.

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

State the appropriate conclusion. Choose the correct answer below.

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

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

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

b)

 normal impaired d 4.49 5.77 -1.28 4.34 5.67 -1.33 4.58 5.51 -0.93 4.56 5.29 -0.73 4.31 5.9 -1.59 4.83 5.49 -0.66 4.59 5.23 -0.64 5 5.61 -0.61 4.79 5.63 -0.84 mean -0.95667 sd 0.356931 n 9 t 2.306004

The 95% confidence interval is −1.231<μD​<−0.682

lower bound = -1.231

upper bound = -0.682
c)

since 0 is not present in confidence interval

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

#### Earn Coins

Coins can be redeemed for fabulous gifts.