To illustrate the effects of driving under the influence (DUI) of alcohol, a pol

Question

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.

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

What is the 95th confidence interval?

Subject 1 2 3 4 5 6 7 8 9 normal xi 4.47 4.24 4.58 4.56 4.31 4.83 4.55 5.00 4.79 impaired xi 5.77 5.67 5.45 5.29 5.83 5.49 5.23 5.63 5.63

Explanation / Answer

Two-Sample T-Test and CI: impaired, normal

Method

Equal variances are not assumed for this analysis.

Descriptive Statistics

Estimation for Difference

Test

p-value = 0.000 < 0.05

hence we reject the null and conclude that there is significant evidence

95% confidence interval - (0.735, 1.190)

: mean of impaired µ: mean of normal Difference: - µ

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