In: Statistics and Probability
A study of the effect of exposure to color ( red or blue) on the ability to solve puzzles used 48 subjects. Half the subjects were asked to solve a series of puzzles while in a red-colored environment. The other half were asked to solve the same series of puzzles while in a blue-colored environment. The 24 subjects in the red-colored environment had a mean time for solving the puzzles of 9.65 seconds with standard deviation 3.47 ; the 24 subjects in the blue-colored environment had a mean time of 15.85 seconds with standard deviation 8.65 . The two-sample t statistic for comparing the population means has value ( ± ± 0.001)
Let denote the mean time taken for solving the puzzles in the red-colored environment and in the blue-colored environment respectively.