Automobile manufacturers are interested in the difference in reaction times for

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 29 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 -0.9 ms with a standard deviation of 8.22 ms. A 99% confidence interval for The average difference between the two reaction times was (-5.12, 3.32). Which of the following is the best interpretation? Question 11 options:

1) 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 -5.12 and 3.32.

2) We are 99% confident that the average difference in the reaction times of the drivers sampled is between -5.12 and 3.32.

3) We are certain the the average difference in reaction times between the two light types for all golfers is between -5.12 and 3.32.

4) The proportion of all drivers that had a difference in reaction times between the two lights is 99%.

5) We are 99% confident that the average difference in reaction time between the two light types for all drivers is between -5.12 and 3.32.

Explanation / Answer

We are 99% confident that the average difference in the reaction times of the drivers sampled is between -5.12 and 3.32. Hence, option(1) is correct.

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