An experiment was conducted to compare people\'s reaction times to a red light v

Question

An experiment was conducted to compare people's reaction times to a red light versus a green light, and the results are given in the table below. Is there evidence, at the a = 0.05 level of significance, to show a significant difference in reaction times between a red light and a green light? a. With a p - value of 0.023, there is evidence to show a significant difference in reaction times between a red light and a green light. b. With a p - value of 0.047, there is insufficient evidence to show a significant difference in reaction times between a red light and a green light. c. With a p - value of 0.047, there is evidence to show a significant difference in reaction times between a red light and a green light. d. With a p - value of 0.278, there is insufficient evidence to show a significant difference in reaction times between a red light and a green light. e. With a p - value of 0.278, there is evidence to show a significant difference in reaction times between a red light and a green light.

Explanation / Answer

The statistical oftware output for this problem is:

Two sample T hypothesis test:
1 : Mean of Red Light
2 : Mean of Green Light
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(with pooled variances)

Hypothesis test results:

Hence,

Option d is correct.

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 -0.065 0.057554322 14 -1.1293678 0.2777

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