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%. Is there sufficient evidence that a blood-alcohol level of .1% causes any increase in the mean reaction time? data2 'DiffTimes' 0.01 0.02 0.04 0.05 0.07 0.09 0.11 0.26 0.27 0.27 0.28 0.28 0.29 0.29 0.3 0.31 0.31 0.32 0.33 0.35 0.36 0.38 0.39 0.39 0.4

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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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%. Is there sufficient evidence that a blood-alcohol level of .1% causes any increase in the mean reaction time?

data2

'DiffTimes'
0.01
0.02
0.04
0.05
0.07
0.09
0.11
0.26
0.27
0.27
0.28
0.28
0.29
0.29
0.3
0.31
0.31
0.32
0.33
0.35
0.36
0.38
0.39
0.39
0.4

 

 

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