Question
Automobile manufacturers are interested in the difference in reaction times for drivers reacting to traditional incandescent lights and to LED lights. A sample of 12
Automobile manufacturers are interested in the difference in reaction times for drivers reacting to traditional incandescent lights and to LED lights. A sample of 12 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. The average difference in reaction times (traditional - LED) is -3 ms with a standard deviation of 5.14 ms. A 99% confidence interval for the average difference between the two reaction times was (-7.61, 1.61). Which of the following is the best interpretation?
A: We are 99% confident that the average difference in the reaction times of the drivers sampled is between -7.61 and 1.61.
B: We are 99% confident that the difference between the average reaction time for LED lights and the average reaction time for traditional lights is between -7.61 and 1.61.
C: We are certain the average difference in reaction times between the two light types for all drivers is between -7.61 and 1.61.
D: The proportion of all drivers that had a difference in reaction times between the two lights is 99%.
E: We are 99% confident that the average difference in reaction time between the two light types for all drivers is between -7.61 and 1.61.
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