Question

Asked Nov 21, 2019

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Many states have attempted to reduce the blood-alcohol level at which a driver is declared to be legally drunk. There has been resistance to this change in the law by certain business groups who have argued that the current limit is adequate. A study was conducted to demonstrate the effect on reaction time of a blood-alcohol level of .1%, the current limit in many states. A random sample of 25 persons of legal driving age had their reaction time recorded in a standard laboratory test procedure before and after drinking a sufficient amount of alcohol to raise their blood alcohol to a .1% level. The difference (After − Before) in their reaction times in seconds was provided in data 2. Graph the data and assess whether the population has a normal distribution. Place a 99% confidence interval on both the mean and median difference in reaction times of drivers who have a blood-alcohol level of .1%.

Step 1

**Graph:**

We have used a boxplot to identify whether the distribution of DiffTimes is normal or not. We have used Excel.

Enter the data in a column.

Choose Insert > Insert Statistic Chart > More Statistical Charts > Box & Whisker > OK.

The obtained boxplot is displayed below:

Observe that the line representing the median is much closer to the third quartile (upper boundary of the box), than it i...

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