In: Statistics and Probability
A study of the effect of exposure to color (red or blue) on the ability to solve puzzles used 42 subjects. Half the subjects (21) 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 bluecolored environment. The time taken to solve the puzzles was recorded for each subject. Due to the association of urgency with red, researchers believe those exposed to red will solve the puzzles faster than those exposed to blue. The 21 subjects in the red-colored environment had a mean time for solving the puzzles of 9.64 seconds with standard deviation 3.43; the 21 subjects in the blue-colored environment had a mean time of 15.84 seconds with standard deviation 8.65.
(a) State explicitly what population 1 and what population 2 are.
(b) State the null and alternative hypothesis.
(c) Find the two-sample t-statistic and p-value.
(d) State a conclusion at the 0.005 significance level.