Please answer all parts, thanks. Student: Kevin Burke Date: 02/19/18 Instructor:

Question

Please answer all parts, thanks.

Student: Kevin Burke Date: 02/19/18 Instructor: Budhinath Padhy Course: Spring 2018 - Math 258 Assignment: Section 11.2 Homework Print 7. 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 1 Click the icon to view the data table (a) 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 reaction times are different B. This is a good idea in designing the experiment because it controls for any "learning" that may occur in using the simulator. C. This is a good idea in designing the experiment because the sample size is not large enough. (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 95% confidence interval is ( . (Round to the nearest thousandth as needed.) State the appropriate conclusion. Choose the correct answer below O There is sufficient evidence to conclude there is a difference in braking time with impaired vision and normal vision There is insufficient evidence to conclude there is a difference in braking time with impaired vision and normal vision 1: Data Table Subject Normal, X 4.47 4.24 4.58 4.56 4.31 4.83 4.59 5.00 4.79 Impaired, Yi 5.86 5.67 5.51 5.32 5.90 5.495.23 5.63 5.63 3 4 5 67 8 9

Explanation / Answer

The statistical software output for this problem is:

Paired T confidence interval:
D = 1 - 2 : Mean of the difference between Yi and Xi
95% confidence interval results:

Hence,

95% confidence interval will be:

(0.694, 1.277)

Conclusion: Option A is correct.

Difference Mean Std. Err. DF L. Limit U. Limit Yi - Xi 0.98555556 0.12656916 8 0.69368654 1.2774246

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