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Automobile manufacturers are interested in the difference in reaction times for drivers reacting to traditional incadescent lights and to LED lights. A sample of 21 drivers are told to press a button as soon as they see a light flash in front of them and the reaction time was measured in milliseconds. Each driver was shown each type of light. A 95% confidence interval for the average difference between the two reaction times (traditional - LED) was (-171.37, 174.44). Which of the following is the appropriate conclusion?
1) We are 95% confident that the average difference in reaction times for all drivers is negative, with the higher reaction time being with traditional lighting.
2) We are 95% confident that the average difference in reaction times for all drivers is positive, with the higher reaction time being with LED lighting.
3) We are 95% confident that the average difference in reaction times for all drivers is positive, with the higher reaction time being with traditional lighting.
4) We are 95% confident that the average difference in reaction times for all drivers is negative, with the higher reaction time being with LED lighting.
5) There is not a significant difference in the average reaction times for the two different types of lighting.
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