1. 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.

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____

2. A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data is given in the table below.

Observation	1	2	3	4	5	6
Date	1/25	3/19	5/30	7/3	9/13	11/7
Initial Depth, Xi	45.8	40.8	37.4	45.4	37.2	66.9
Depth Five Years Later, Yi	53.3	39.0	41.7	43.0	44.4	62.6

a) Determine the test statistic for this hypothesis test.

b) Approximate the P-value for this hypothesis test.

c) The P-value is in the range ( )

d) What is your conclusion regarding H0