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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 24 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 between the two reaction times (traditional - LED) was 62.16 ms with a standard deviation of 30.072 ms. Calculate a 99% confidence interval for the average difference in reaction times to the two types of light for all drivers.
1) (44.991, 79.329)
2) (44.927, 79.393)
3) (-44.927, 79.393)
4) (59.353, 64.967)
5) (56.022, 68.298)
would this prove that they are exceeding their goal, using α = 0.025?
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